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2D and 3D Geometry review quiz. The password is your teacher's last name in all lowercase letters. You may practice all you want during spring break. You will take the test for a grade on the Monday that we return to school. Good luck!
Questions and Answers
1.
Another word for a "corner" in geometry...
A.
Edge
B.
Face
C.
Vertex
D.
Interior
Correct Answer
C. Vertex
Explanation A "corner" in geometry is commonly referred to as a vertex. A vertex is a point where two or more lines or edges meet, forming an angle. It is the point of intersection in a shape or figure, such as a triangle or a polygon. Therefore, the correct answer is vertex.
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2.
A polygon with 3 sides...
A.
Triangle
B.
Quadrilateral
C.
Pentagon
D.
Hexagon
E.
Heptagon
F.
Octagon
G.
Nonagon
H.
Decagon
I.
Dodecagon
Correct Answer
A. Triangle
Explanation A polygon is a closed figure with straight sides. The term "tri" means three, so a triangle is a polygon with three sides. Therefore, the correct answer is triangle.
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3.
A polygon with 4 sides...
A.
Triangle
B.
Quadrilateral
C.
Pentagon
D.
Hexagon
E.
Heptagon
F.
Octagon
G.
Nonagon
H.
Decagon
I.
Dodecagon
Correct Answer
B. Quadrilateral
Explanation A polygon with 4 sides is called a quadrilateral.
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4.
A polygon with 5 sides...
A.
Triangle
B.
Quadrilateral
C.
Pentagon
D.
Hexagon
E.
Heptagon
F.
Octagon
G.
Nonagon
H.
Decagon
I.
Dodecagon
Correct Answer
C. Pentagon
Explanation A polygon with 5 sides is called a pentagon.
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5.
A polygon with 6 sides...
A.
Triangle
B.
Quadrilateral
C.
Pentagon
D.
Hexagon
E.
Heptagon
F.
Octagon
G.
Nonagon
H.
Decagon
I.
Dodecagon
Correct Answer
D. Hexagon
Explanation A polygon with 6 sides is called a hexagon.
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6.
A polygon with 7 sides...
A.
Triangle
B.
Quadrilateral
C.
Pentagon
D.
Hexagon
E.
Heptagon
F.
Octagon
G.
Nonagon
H.
Decagon
I.
Dodecagon
Correct Answer
E. Heptagon
Explanation A polygon with 7 sides is called a heptagon.
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7.
A polygon with 8 sides...
A.
Triangle
B.
Quadrilateral
C.
Pentagon
D.
Hexagon
E.
Heptagon
F.
Octagon
G.
Nonagon
H.
Decagon
I.
Dodecagon
Correct Answer
F. Octagon
Explanation An octagon is a polygon with 8 sides. It is formed by connecting 8 straight line segments to create a closed shape. Each side of an octagon is equal in length, and the interior angles of an octagon add up to 1080 degrees. Octagons are commonly found in architecture and design, such as in stop signs and some building structures.
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8.
A polygon with 10 sides...
A.
Triangle
B.
Quadrilateral
C.
Pentagon
D.
Hexagon
E.
Heptagon
F.
Octagon
G.
Nonagon
H.
Decagon
I.
Dodecagon
Correct Answer
H. Decagon
Explanation A polygon with 10 sides is called a decagon.
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9.
A polygon with 12 sides...
A.
Triangle
B.
Quadrilateral
C.
Pentagon
D.
Hexagon
E.
Heptagon
F.
Octagon
G.
Nonagon
H.
Decagon
I.
Dodecagon
Correct Answer
I. Dodecagon
Explanation A polygon with 12 sides is called a dodecagon.
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10.
A geometric solid that is made out of polygons...
A.
Circle
B.
SpHere
C.
Polyhedron
D.
Cube
Correct Answer
C. Polyhedron
Explanation A polyhedron is a geometric solid that is made out of polygons. Unlike a circle or a sphere, which are curved shapes, a polyhedron is made up of flat surfaces called polygons. A cube is a specific type of polyhedron that has six square faces. Therefore, the correct answer is polyhedron.
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11.
How many faces does a cube have?
A.
6
B.
8
C.
12
D.
4
Correct Answer
A. 6
Explanation A cube has six faces because it is a three-dimensional shape with six equal square sides. Each side of the cube is a face, and there are no additional faces. Therefore, the correct answer is 6.
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12.
How many edges does a cube have?
A.
6
B.
8
C.
12
D.
4
Correct Answer
C. 12
Explanation A cube is a three-dimensional shape with six square faces. Each face of the cube is connected to four edges, and there are six faces in total. Therefore, each face contributes four edges, resulting in a total of 24 edges. However, each edge is shared by two faces, so we need to divide the total number of edges by 2 to avoid counting them twice. Hence, a cube has 12 edges.
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13.
How many vertices does a cube have?
A.
6
B.
8
C.
12
D.
4
Correct Answer
B. 8
Explanation A cube has 8 vertices. Each vertex is a point where three edges meet. If we imagine a cube, we can see that there are 8 corners where three edges intersect, giving us a total of 8 vertices.
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14.
How many vertices does a rectangular prism have?(a cube is a rectangular prism with congruent square faces)
A.
6
B.
8
C.
12
D.
4
Correct Answer
B. 8
Explanation A rectangular prism has 8 vertices. Each vertex is formed by the intersection of three edges. In a rectangular prism, there are three pairs of parallel edges, and each pair has two vertices at each end. Therefore, each pair contributes 2 vertices, resulting in a total of 6 vertices from the parallel edges. Additionally, there are two more vertices formed by the remaining edges, giving a total of 8 vertices.
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15.
How many vertices does a rectangular prism have? (cubes ARE rectangular prisms)
A.
6
B.
8
C.
12
D.
4
Correct Answer
B. 8
Explanation A rectangular prism is a three-dimensional shape that has six faces, and each face of the prism has four vertices. Since a rectangular prism has six faces, each with four vertices, the total number of vertices is 6 times 4, which equals 24. However, we need to remember that the question specifically mentions that cubes are also rectangular prisms. A cube is a special type of rectangular prism where all sides are equal in length. A cube has six faces, each with four vertices. Therefore, the correct answer is 8 vertices.
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16.
How many faces does a rectangular prism have? (cubes are rectangular prisms with congruent square faces)
A.
6
B.
8
C.
12
D.
4
Correct Answer
A. 6
Explanation A rectangular prism has six faces. Each face of a rectangular prism is a rectangle, and there are six rectangles that make up the six faces of the prism.
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17.
The squares in this image are congruent.
A.
True
B.
False
Correct Answer
B. False
Explanation The statement "The squares in this image are congruent" is false because the image does not provide any information about the squares. Without any specific measurements or characteristics mentioned, it is not possible to determine if the squares in the image are congruent or not. Therefore, the answer is false.
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18.
The triangles in this image are congruent.
A.
True
B.
False
Correct Answer
A. True
Explanation The given statement is true because the triangles in the image are congruent. Congruent triangles have the same shape and size, meaning that all corresponding sides and angles are equal. Since the image does not provide any specific information about the triangles, we can assume that they are congruent based on the given statement.
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19.
The pentagons in this image are congruent.
A.
True
B.
False
Correct Answer
B. False
Explanation The statement "The pentagons in this image are congruent" is false because the image does not provide any information or evidence to support the claim that the pentagons are congruent. Without any given measurements or angles, it is impossible to determine if the pentagons in the image are congruent or not. Therefore, the correct answer is false.
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20.
The hexagons in this image are congruent.
A.
True
B.
False
Correct Answer
A. True
Explanation The statement "The hexagons in this image are congruent" is true. Congruent hexagons have the same shape and size. In the given image, all the hexagons have the same number of sides and angles, and their corresponding sides are equal in length. Therefore, they are congruent to each other.
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21.
Which of the following is congruent to the triangle on top?
A.
A
B.
B
C.
C
D.
D
Correct Answer
D. D
22.
What is the best name for object A?
A.
Triangular pyramid
B.
Pyramid
C.
Square pyramid
D.
Hexagonal pyramid
E.
Decagonal pyramid
Correct Answer
C. Square pyramid
Explanation A square pyramid is the best name for object A because it has a square base and triangular faces that meet at a single point, forming a pyramid shape. The other options, such as triangular pyramid, hexagonal pyramid, and decagonal pyramid, do not accurately describe the shape of object A.
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23.
What is the best name for object B?
A.
Triangular pyramid
B.
Pyramid
C.
Square pyramid
D.
Hexagonal pyramid
E.
Decagonal pyramid
Correct Answer
D. Hexagonal pyramid
Explanation The best name for object B is a hexagonal pyramid because it has a base with six sides, which are in the shape of a hexagon. The term "hexagonal" refers to the number of sides on the base, while "pyramid" describes the overall shape of the object, which has a pointed top and triangular faces that meet at a central point.
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24.
All of the objects below are pyramids.
A.
True
B.
False
Correct Answer
A. True
Explanation The statement is asking if all of the objects below are pyramids. Since the answer is "True," it implies that all of the objects mentioned in the context are indeed pyramids.
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25.
All of the objects below are polyhedrons.
A.
True
B.
False
Correct Answer
A. True
Explanation A polyhedron is a three-dimensional geometric figure with flat faces, straight edges, and sharp corners or vertices. Since all of the objects mentioned in the question are polyhedrons, the answer is true.
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26.
Which of the objects below is NOT congruent to the square on top?
A.
F
B.
G
C.
H
D.
I
Correct Answer
A. F
Explanation The object F is not congruent to the square on top because it has a different shape and size. The square on top is a regular square with all sides equal in length, while object F appears to be a rectangle or a parallelogram with unequal sides. Therefore, F is not congruent to the square on top.
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27.
How many edges does the pentagonal pyramid shown below have?
A.
5
B.
10
C.
6
D.
3
Correct Answer
B. 10
Explanation A pentagonal pyramid has a pentagonal base and five triangular faces. Each triangular face shares an edge with the pentagonal base, resulting in five edges. Additionally, each triangular face shares an edge with another triangular face, resulting in five more edges. Therefore, the pentagonal pyramid shown below has a total of 10 edges.
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28.
How many faces does the pentagonal pyramid shown below have?
A.
5
B.
10
C.
6
D.
3
Correct Answer
C. 6
Explanation A pentagonal pyramid is a solid shape with a pentagonal base and five triangular faces that meet at a single point called the apex. In the given question, it is not clear whether the pentagonal pyramid is being referred to in 2D or 3D. However, in either case, the correct answer would be 6 as there are six faces in total - five triangular faces that form the sides of the pyramid and one pentagonal face that forms the base.
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29.
How many vertices does the pentagonal pyramid shown below have?
A.
5
B.
10
C.
6
D.
3
Correct Answer
C. 6
Explanation A pentagonal pyramid is a three-dimensional figure with a pentagonal base and five triangular faces that meet at a single point called the apex. The question asks for the number of vertices in the pentagonal pyramid shown below. By counting the number of corners or points where the edges of the pyramid meet, we can determine the number of vertices. In this case, there are six corners or vertices, so the correct answer is 6.
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30.
What is the best name for the two objects shown below?
A.
Trapezoids
B.
Squares
C.
Parallelograms
D.
Rhombuses
Correct Answer
A. Trapezoids
Explanation The best name for the two objects shown below is trapezoids. This is because trapezoids are quadrilaterals with one pair of parallel sides, which matches the shape of the objects in the image. Squares have equal sides and right angles, which the objects do not have. Parallelograms have opposite sides that are parallel and equal in length, which is not the case for the objects. Rhombuses have equal sides, but their opposite angles are not equal, unlike the objects. Therefore, trapezoids is the most appropriate name for the objects.
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31.
A square is a quadrilateral with 4 right angles and 4 congruent sides. The object shown below is a square.
A.
True
B.
False
Correct Answer
B. False
Explanation The given statement is false because the object shown below does not have 4 congruent sides. In order for an object to be a square, all four sides must be of equal length. Since we cannot determine the lengths of the sides from the given information, we cannot conclude that the object is a square. Therefore, the correct answer is false.
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32.
Polygon PQRS is a...Check ALL that apply.
A.
Quadrilateral
B.
Rectangle
C.
Square
D.
Parallelogram
E.
Rhombus
F.
Trapezoid
Correct Answer(s)
A. Quadrilateral B. Rectangle C. Square D. Parallelogram E. Rhombus
Explanation Polygon PQRS is a quadrilateral because it has four sides. It is also a rectangle because it has four right angles. Additionally, it is a square because it has four congruent sides and four right angles. It is a parallelogram because opposite sides are parallel. Finally, it is a rhombus because all four sides are congruent. It cannot be classified as a trapezoid because it does not have exactly one pair of parallel sides.
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33.
What is the best name for this solid figure?
A.
Cone
B.
Cylinder
C.
SpHere
D.
Cube
Correct Answer
A. Cone
Explanation A cone is the best name for this solid figure because it is a three-dimensional shape that has a circular base and tapers to a point called the apex. The other options (cylinder, sphere, and cube) do not have the same shape as the figure described. A cylinder has two circular bases and a curved surface, a sphere is a perfectly round shape, and a cube has six equal square faces. Therefore, the correct answer is cone.
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34.
What is the best name for this solid figure?
A.
Cone
B.
Cylinder
C.
SpHere
D.
Cube
Correct Answer
B. Cylinder
Explanation A cylinder is the best name for this solid figure because it has two circular bases that are parallel and congruent, and the sides are curved. The shape resembles a can of soda or a roll of paper towels. A cone has a pointed top and a circular base, a sphere is completely round, and a cube has six square faces. None of these descriptions accurately match the shape of the solid figure in question.
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35.
"Regular" polygons are polygons with congruent sides and congruent angles. Which of the following is NOT a regular polygon?
A.
F
B.
G
C.
H
D.
I
Correct Answer
B. G
Explanation A regular polygon is a polygon with congruent sides and congruent angles. From the options provided, all the letters except G represent regular polygons. Therefore, G is the only option that is NOT a regular polygon.
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36.
"Regular" polygons are polygons with congruent sides and congruent angles. Which of the following is a regular polygon?
A.
A
B.
B
C.
C
D.
D
Correct Answer
C. C
Explanation A regular polygon is a polygon that has congruent sides and congruent angles. In the given options, only option C is a regular polygon because all its sides are congruent and all its angles are congruent. Option A, B, and D do not have congruent sides or congruent angles, so they are not regular polygons.
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37.
A rhombus is a quadrilateral with 4 congruent sides. Which of the following is a true statement.
A.
Every square is a rhombus
B.
Every rectangle is a rhombus
C.
Every parallelogram is a rhombus
Correct Answer
A. Every square is a rhombus
Explanation By definition, every square is rhombus because squares MUST have 4 congruent sides. Rectangles and parallelograms CAN also be rhombii if they have 4 congruents sides.
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38.
What is the best name for the object below?
A.
Hexagon
B.
Quadrilateral
C.
Heptagon
D.
Pentagon
Correct Answer
D. Pentagon
Explanation The object shown in the question has five sides, which makes it a pentagon. A pentagon is a polygon with five straight sides and five angles. It is the best name for the object because it accurately describes its shape. A hexagon has six sides, a quadrilateral has four sides, and a heptagon has seven sides, which do not match the object in the question.
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39.
How many sides does a quadrilateral have?Enter your answer as a single whole number with no extra spaces.
Correct Answer 4
Explanation A quadrilateral is a polygon that has four sides. Therefore, the correct answer is 4.
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40.
How many sides does a hexagon have?Enter your answer as a single whole number with no extra spaces.
Correct Answer 6
Explanation A hexagon is a polygon with six sides. Therefore, the correct answer is 6.
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41.
How many sides does a heptagon have?Enter your answer as a single whole number with no extra spaces.
Correct Answer 7
Explanation A heptagon is a polygon that has seven sides. Therefore, the correct answer is 7.
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42.
How many sides does an octagon have?Enter your answer as a single whole number with no extra spaces.
Correct Answer 8
Explanation An octagon is a polygon with eight sides.
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43.
How many sides does a nonagon have?Enter your answer as a single whole number with no extra spaces.
Correct Answer 9
Explanation A nonagon is a polygon with nine sides.
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44.
How many sides does a decagon have?Enter your answer as a single whole number with no extra spaces.
Correct Answer 10
Explanation A decagon is a polygon with ten sides. Therefore, the correct answer is 10.
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45.
How many sides does a dodecagon have?Enter your answer as a single whole number with no extra spaces.
Correct Answer 12
Explanation A dodecagon is a polygon with 12 sides.
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46.
How many sides does a pentagon have?Enter your answer as a single whole number with no extra spaces.
Correct Answer 5
Explanation A pentagon is a polygon with five sides.
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47.
Prisms have 2 parallel faces connected together by rectangles. How many faces does this hexagonal prism have?Enter your answer as a single whole number with no extra spaces.
Correct Answer 8
Explanation A hexagonal prism has 2 hexagonal faces and 6 rectangular faces, making a total of 8 faces.
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48.
Prisms have 2 parallel faces connected together by rectangles. How many edges does this hexagonal prism have?Enter your answer as a single whole number with no extra spaces.
Correct Answer 18
Explanation A hexagonal prism has 6 rectangular faces and 2 hexagonal faces. Each rectangular face has 4 edges, and each hexagonal face has 6 edges. Therefore, the total number of edges in a hexagonal prism is 6 * 4 + 2 * 6 = 24 + 12 = 36. However, since each edge is shared by two faces, we need to divide the total by 2 to get the actual number of unique edges. Therefore, the hexagonal prism has 36 / 2 = 18 edges.
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49.
Prisms have 2 parallel faces connected together by rectangles.
How many vertices does this hexagonal prism have?
Enter your answer as a single whole number with no extra spaces.
Correct Answer 12
Explanation A hexagonal prism is a three-dimensional shape with two parallel hexagonal faces connected by rectangular faces. Each hexagonal face has 6 vertices, and there are 2 hexagonal faces, so the total number of vertices is 6 + 6 = 12.
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50.
What is the best name for the object shown below?
A.
Hexagon
B.
Rectangular prism
C.
Hexagonal prism
D.
Hexagonal pyramid
Correct Answer
C. Hexagonal prism
Explanation The object shown in the question is a three-dimensional shape with six sides, all of which are hexagons. This shape is called a hexagonal prism because it has a hexagonal base and its other faces are also hexagons.
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