1.
Another word for a "corner" in geometry...
Correct Answer
C. Vertex
Explanation
In geometry, corners are called vertices. A corner is a vertex.
2.
A polygon with 3 sides...
Correct Answer
A. Triangle
Explanation
A 3-sided polygon is a triangle.
3.
A polygon with 4 sides...
Correct Answer
B. Quadrilateral
Explanation
A 4-sided polygon is a quadrilateral. Rhombuses (rhombii), squares, parallelograms, trapezoids, and rectangles are special types of quadrilaterals.
4.
A polygon with 5 sides...
Correct Answer
C. Pentagon
Explanation
A 5-sided polygon is a pentagon.
5.
A polygon with 6 sides...
Correct Answer
D. Hexagon
Explanation
A 6-sided polygon is a hexagon.
6.
A polygon with 7 sides...
Correct Answer
E. Heptagon
Explanation
A 7-sided polygon is a hexagon.
7.
A polygon with 8 sides...
Correct Answer
F. Octagon
Explanation
An 8-sided polygon is an octagon.
8.
A polygon with 10 sides...
Correct Answer
H. Decagon
Explanation
A polygon with 10 sides is called a decagon.
9.
A polygon with 12 sides...
Correct Answer
I. Dodecagon
Explanation
A polygon with 12 sides is called a dodecagon.
10.
A geometric solid that is made out of polygons...
Correct Answer
C. Polyhedron
Explanation
Polyhedrons are 3D solids that are "made" out of polygons. The faces of a polyhedron are all polygons.
11.
How many faces does a cube have?
Correct Answer
A. 6
Explanation
A cube is made out of 6 squares. Each square is a face. Cubes have 6 faces.
12.
How many edges does a cube have?
Correct Answer
C. 12
Explanation
The edges of a 3D solid are the "sticks." A cube has 4 edges on top, 4 on bottom, and 4 holding them together. That's a total of 12 edges.
13.
How many vertices does a cube have?
Correct Answer
B. 8
Explanation
A cube has 8 vertices. A vertex is a point where three or more edges meet. In a cube, each corner is a vertex, and there are 8 corners in total. Therefore, the correct answer is 8.
14.
How many vertices does a rectangular prism have?(a cube is a rectangular prism with congruent square faces)
Correct Answer
B. 8
Explanation
A rectangular prism is a three-dimensional shape that has six faces, and each face is a rectangle. The number of vertices of a rectangular prism can be determined by counting the number of corners or points where the edges of the faces meet. Since each face of a rectangular prism has four corners, and there are two congruent faces for each corner, the total number of vertices is 4 multiplied by 2, which equals 8. Therefore, the correct answer is 8.
15.
How many vertices does a rectangular prism have?
(cubes ARE rectangular prisms)
Correct Answer
B. 8
Explanation
Vertices are "corners." A rectangular prism has 8 corners, 4 on top and 4 on bottom.
16.
How many faces does a rectangular prism have?
(cubes are rectangular prisms with congruent square faces)
Correct Answer
A. 6
Explanation
Rectangular prisms are "made" out of 6 rectangles. They have 6 faces.
17.
The squares in this image are congruent.
Correct Answer
B. False
Explanation
Congruent figures are the same size AND shape. These squares are the same shape, but NOT the same size. They are NOT congruent.
18.
The triangles in this image are congruent.
Correct Answer
A. True
Explanation
These triangles ARE the exact same size and shape. They ARE congruent.
19.
The pentagons in this image are congruent.
Correct Answer
B. False
Explanation
These pentagons are NOT the same size or shape. They are NOT congruent.
20.
The hexagons in this image are congruent.
Correct Answer
A. True
Explanation
The hexagons ARE the same size and shape. They are congruent.
21.
Which of the following is congruent to the triangle on top?
Correct Answer
D. D
Explanation
The original and triangle D are the same size and shape. They are congruent.
22.
What is the best name for object A?
Correct Answer
C. Square pyramid
Explanation
Object A is made out of triangles, so it's a pyramid. ALL of the faces are triangles except the base, which is a square. Since the base is a square, it's a square pyramid.
23.
What is the best name for object B?
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 makes it a hexagon, and it has triangular faces that meet at a single point, forming a pyramid shape.
24.
All of the objects below are pyramids.
Correct Answer
A. True
Explanation
This statement is true. Pyramids are "built" out of triangles. All of these solids are built out of triangles. (except for the base).
25.
All of the objects below are polyhedrons.
Correct Answer
A. True
Explanation
Polyhedrons are 3D solids that are made our of polygons. All of these solids ARE made out of polygons, so they are all polyhedrons.
26.
Which of the objects below is NOT congruent to the square on top?
Correct Answer
A. F
Explanation
Object F is NOT the same size and shape as the 4 squares. It's NOT congruent to the original square.
27.
How many edges does the pentagonal pyramid shown below have?
Correct Answer
B. 10
Explanation
The edges are the "sticks" that a solid is made of. This solid has 5 edges making up the pentagon on the base, and 5 edges rising up from each vertex of the pentagon. Total = 10 edges.
28.
How many faces does the pentagonal pyramid shown below have?
Correct Answer
C. 6
Explanation
6 faces: the pentagon base is one face plus the five triangles = 6.
29.
How many vertices does the pentagonal pyramid shown below have?
Correct Answer
C. 6
Explanation
The answer is 6. 5 for the pentagon itself plus the apex on top.
30.
What is the best name for the two objects shown below?
Correct Answer
A. Trapezoids
Explanation
These are trapezoids. A trapezoid is a quadrilateral with exactly one PAIR of parallel sides.
31.
A square is a quadrilateral with 4 right angles and 4 congruent sides.
The object shown below is a square.
Correct Answer
B. False
Explanation
FALSE. Squares need to have congruent sides. This rectangle does NOT have congruent sides.
32.
Polygon PQRS is a...
Check ALL that apply.
Correct Answer(s)
A. Quadrilateral
B. Rectangle
C. Square
D. Parallelogram
E. Rhombus
Explanation
It's a quadrilateral because it's a polygon with 4 sides.
It's a square because it's a quadrilateral with 4 right angles and 4 congruent sides.
It's a rectangle because it's a quadrilateral with 4 right angles.
It's a rhombus because it's a quadrilateral with 4 congruent sides.
It's a parallelogram because it's a quadrilateral with 2 pairs of parallel sides.
It's NOT a trapezoid because it DOESN'T have exactly one pair of parallel sides.
33.
What is the best name for this solid figure?
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. It closely resembles the shape of an ice cream cone or a traffic cone. The other options, cylinder, sphere, and cube, do not have the same shape characteristics as a cone.
34.
What is the best name for this solid figure?
Correct Answer
B. Cylinder
Explanation
It's cylinder. A cylinder is made of 2 circles joined together by a curved face. A cylinder is NOT a polyhedron.
35.
"Regular" polygons are polygons with congruent sides and congruent angles.
Which of the following is NOT a regular polygon?
Correct Answer
B. G
Explanation
Object G doesn't have congruent sides. It's an irregular polygon.
36.
"Regular" polygons are polygons with congruent sides and congruent angles.
Which of the following is a regular polygon?
Correct Answer
C. C
Explanation
Object C is the only polygon with congruent angles and congruent sides.
37.
A rhombus is a quadrilateral with 4 congruent sides.
Which of the following is a true statement.
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.
38.
What is the best name for the object below?
Correct Answer
D. Pentagon
Explanation
It's a 5-sided polygon. That's a pentagon.
39.
How many sides does a quadrilateral have?
Enter your answer as a single whole number with no extra spaces.
Correct Answer
4
Explanation
Quadrilaterals are polygons with 4 sides.
40.
How many sides does a hexagon have?
Enter your answer as a single whole number with no extra spaces.
Correct Answer
6
Explanation
Hexagons are polygons with 6 sides.
41.
How many sides does a heptagon have?
Enter your answer as a single whole number with no extra spaces.
Correct Answer
7
Explanation
Heptagons are polygons with 7 sides.
42.
How many sides does an octagon have?
Enter your answer as a single whole number with no extra spaces.
Correct Answer
8
Explanation
Octagons are polygons with 8 sides.
43.
How many sides does a nonagon have?
Enter your answer as a single whole number with no extra spaces.
Correct Answer
9
Explanation
Nonagons are polygons with 9 sides.
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 10-sided polygon.
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.
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 5 sides.
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
The answer is 8. 2 hexagons, and the 6 rectangles connecting them.
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
The answer is 18. The hexagons have 6 each, plus the 6 connecting them.
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
Vertices are "corners." This prism has 6 vertices on one side (the hexagon) and 6 on the other side for a total of 12.
50.
What is the best name for the object shown below?
Correct Answer
C. Hexagonal prism
Explanation
It's a prism because it's made up of rectangles. It's a hexagonal prism because the two bases are hexagons.