Geometric Shapes Quiz

A polygon with 10 sides and 10 corners is called a decagon. A decagon is a polygon with ten straight sides and ten angles. It is named based on the Greek word "deka" which means ten. In a decagon, each angle measures 144 degrees, and the sum of all the interior angles is 1440 degrees.

A hexagon is a polygon with six sides and six corners, also known as vertices. It is a closed shape with straight sides. The term "hexa" refers to the number six. Therefore, a hexagon is the correct answer for a polygon with six sides and six corners.

An octagon is a polygon with 8 sides and 8 corners. It is a shape that has 8 straight sides of equal length and 8 angles of 135 degrees each. The term "octa" means eight, so an octagon is a shape with eight sides. Therefore, an octagon is the correct answer for a polygon with 8 sides and 8 corners.

Parallel lines are lines that never intersect each other. They have the same slope and will continue in the same direction indefinitely. This means that no matter how far they are extended, they will never cross each other. In contrast, intersecting lines cross each other at a single point, rays have a starting point and extend infinitely in one direction, and line segments have a starting and ending point and do not extend indefinitely. Therefore, the correct answer is parallel lines.

An equilateral triangle is a type of triangle where all three sides are the same length. This means that each side of the triangle is equal in length to the other sides. In contrast, an obtuse triangle has one angle that is greater than 90 degrees, a trapezoid has at least one pair of parallel sides, and an acute triangle has all angles that are less than 90 degrees. Therefore, the correct answer is equilateral triangle because it is the only option where all sides are the same length.

Intersecting lines are lines that cross or meet at one point. This means that they have a common point of intersection. In the given question, the lines are described as crossing at one point, which is a characteristic of intersecting lines. Congruent lines refer to lines that are equal in length or size, parallel lines are lines that never intersect, and oblique lines are lines that are neither parallel nor perpendicular.

A polygon with 5 sides and 5 corners is called a Pentagon. A pentagon is a two-dimensional shape with five straight sides and five angles. It is a regular polygon, meaning that all of its sides and angles are equal in length and measure. The term "penta" means five, which corresponds to the number of sides and angles in a pentagon.

A right triangle is a triangle that has one angle measuring 90 degrees. In this case, the given triangle has one angle measuring 90 degrees, which makes it a right triangle.

An obtuse triangle is a triangle that has one angle greater than 90 degrees. In this case, the given triangle has one angle greater than 90 degrees, making it an obtuse triangle.

A scalene triangle is a type of triangle where all three sides have different lengths. In this case, the statement "No sides are the same length" matches the definition of a scalene triangle. A square has four equal sides, a pentagon has five equal sides, and an acute triangle refers to a triangle with all angles less than 90 degrees. Therefore, the correct answer is a scalene triangle.

A heptagon is a polygon with 7 sides and 7 corners. It is the only option given that matches the description provided. Hexagon has 6 sides and 6 corners, octagon has 8 sides and 8 corners, and pentagon has 5 sides and 5 corners. Therefore, the correct answer is heptagon.

A line segment is a part of a line that has two endpoints. It is a finite portion of a line that can be measured and has a definite length. Unlike a ray, which extends infinitely in one direction, a line segment has a specific starting point and ending point. A parallel line refers to a line that never intersects with another line, while congruent lines have the same length and shape. Therefore, the correct answer is line segment, as it accurately describes a part of a line with two endpoints.

An isosceles triangle is a type of triangle where at least two sides are of the same length. In this case, the given statement "At least two sides are the same length" matches the definition of an isosceles triangle. Therefore, the correct answer is Isosceles Triangle.

A line is a straight path that continues infinitely in both directions. It has no endpoints and extends indefinitely. Unlike a line segment, which has two distinct endpoints, a line has no limitations on its length. A ray is a portion of a line that starts at a particular point and extends infinitely in one direction. An intersecting line refers to two or more lines that cross each other at a specific point. Therefore, the correct answer is "Line" because it describes a straight path that continues indefinitely in both directions.

An acute triangle is a triangle that has all three angles less than 90 degrees. This means that none of the angles in the triangle are right angles or obtuse angles. The term "acute" refers to the fact that the angles in this type of triangle are smaller or sharper than a right angle. Therefore, an acute triangle is the correct answer for a triangle with 3 angles less than 90 degrees.

A line is a straight path that extends indefinitely in both directions. It has no endpoints and can be thought of as an infinitely long and infinitely thin object. This is different from a ray, which has one endpoint and extends infinitely in only one direction, and a line segment, which has two endpoints and a finite length. A congruent line refers to a line that has the same length as another line, but the term "congruent line" is not commonly used in mathematics.

Congruent figures are figures that have the same size and shape. In other words, they are identical in every way. This means that all corresponding sides and angles of congruent figures are equal. Therefore, the correct answer is "Congruent" because it is the only term that describes figures with the same size and shape.

A square is a quadrilateral with the following properties:

All four sides are of equal length.

Opposite sides are parallel.

All four angles are right angles (90 degrees).

The given description matches the definition of a square:

"All sides are the same length" indicates that all sides are equal.

"Opposite sides are parallel" confirms that it has parallel sides.

"There are 4 right angles" indicates that all angles are 90 degrees.

Therefore, the correct answer is Square.

A rectangle is a polygon with opposite sides that are the same length and parallel. Additionally, a rectangle has four right angles. Therefore, a rectangle satisfies both conditions mentioned in the question.

A ray is a part of a line that starts at an endpoint and extends infinitely in one direction. Unlike a line segment, which has two endpoints, a ray only has one endpoint. A parallel line is a line that never intersects with another line. An intersecting line is a line that crosses or meets another line. Therefore, the best fit for the given description is a ray.

A quadrilateral with only one pair of parallel lines is called a trapezoid. A trapezoid has one pair of parallel sides, while the other two sides are not parallel. This distinguishes it from a rhombus, which has all four sides equal in length but no parallel sides, and a square, which has all four sides equal in length and all four sides parallel. A rectangle, on the other hand, has all four angles equal to 90 degrees, but it also has two pairs of parallel sides. Therefore, the correct answer is trapezoid.

A parallelogram is a quadrilateral with two pairs of parallel sides. In this case, the given information states that there are two pairs of parallel sides, which aligns with the definition of a parallelogram. Additionally, the statement that opposite sides are the same length is also a characteristic of a parallelogram. Therefore, the correct answer is parallelogram.

A polygon is a closed figure with straight sides. A quadrilateral is a polygon with four sides and four corners, also known as vertices. Therefore, a polygon with 4 sides and 4 corners can be classified as a quadrilateral. A rhombus, square, and trapezoid are all types of quadrilaterals, but they have specific properties that differentiate them from a general quadrilateral.

A rhombus is a quadrilateral that has two pairs of parallel sides. Additionally, all sides of a rhombus are the same length. Therefore, a rhombus satisfies both conditions mentioned in the question. A quadrilateral, trapezoid, and rectangle may have parallel sides, but they do not necessarily have all sides of the same length.

A polygon is a plane figure that is named by the number of sides and corners it has. The corners of a polygon are where the sides meet. In this case, the term "polygon" is the correct answer because it encompasses all plane figures with any number of sides and corners, including quadrilaterals, trapezoids, and parallelograms.