7th Grade Intro Geometry

Imagine you're in a magical math land with Anika, Scarlett, and Luna. They come across a mysterious angle that measures less than 90 degrees. What do they call this angle?

• Right angle

• Obtuse angle

• Acute angle

• Straight angle

Answer explanation

An angle that measures less than 90 degrees is called an acute angle. In contrast, a right angle measures exactly 90 degrees, an obtuse angle measures more than 90 degrees, and a straight angle measures 180 degrees.

Imagine you're in a classroom with James, Oliver, and Avery. The teacher asks, "Which type of angle measures exactly 90 degrees?" Can you help them find the answer?

• Acute angle

• Right angle

• Obtuse angle

• Straight angle

Answer explanation

A right angle measures exactly 90 degrees. In contrast, an acute angle is less than 90 degrees, an obtuse angle is greater than 90 degrees but less than 180 degrees, and a straight angle measures 180 degrees.

Sophia and Noah are playing a game where they have to find pairs of angles that add up to a special number. What is the sum of the measures of two angles that are complementary?

• 180 degrees

• 90 degrees

• 360 degrees

• 45 degrees

Answer explanation

Two angles are complementary if their measures add up to 90 degrees. Therefore, the sum of the measures of two complementary angles is 90 degrees, making it the correct choice.

Henry and Hannah are playing a game where they have to find pairs of angles that add up to a special number. What is the sum of the measures of two angles that are supplementary?

• 90 degrees

• 180 degrees

• 360 degrees

• 45 degrees

Answer explanation

Two angles are supplementary if their measures add up to 180 degrees. Therefore, the sum of the measures of two supplementary angles is 180 degrees, making it the correct choice.

Sophia and Ethan are exploring different types of triangles. Can you help them identify which type of triangle has no congruent sides?

• Isosceles triangle

• Equilateral triangle

• Scalene triangle

• Right triangle

Answer explanation

A scalene triangle has no congruent sides, meaning all three sides are of different lengths. In contrast, isosceles triangles have at least two congruent sides, and equilateral triangles have all sides congruent.

Imagine you're in a math class with Jackson and Charlotte, and your teacher asks: What do you call a triangle that proudly shows off at least two sides of the same length?

• Scalene triangle

• Isosceles triangle

• Equilateral triangle

• Acute triangle

Answer explanation

A triangle with at least two congruent sides is called an isosceles triangle. In contrast, a scalene triangle has no congruent sides, an equilateral triangle has all sides congruent, and an acute triangle refers to angle measures.

Imagine you're on a treasure hunt with Arjun, Maya, and Liam. You come across a mysterious map that shows a triangle with three congruent sides. What type of triangle have you discovered?

• Scalene triangle

• Isosceles triangle

• Equilateral triangle

• Right triangle

Answer explanation

An equilateral triangle has three congruent sides, meaning all sides are of equal length. In contrast, a scalene triangle has no equal sides, an isosceles triangle has two equal sides, and a right triangle is defined by having a right angle.

Kai and Ava are exploring shapes in their geometry class. They come across a shape with one right angle. What is this triangle called?

• Acute triangle

• Obtuse triangle

• Right triangle

• Scalene triangle

Answer explanation

A triangle with one right angle is called a right triangle. This is defined by having one angle that measures exactly 90 degrees, distinguishing it from acute and obtuse triangles.

Imagine you're on a quest with Daniel, Harper, and Elijah to find the legendary triangle that holds a secret power. This triangle has one angle that's larger than 90 degrees. What is this mystical triangle called?

• Acute triangle

• Obtuse triangle

• Right triangle

• Equilateral triangle

Answer explanation

A triangle with one obtuse angle is called an obtuse triangle. In contrast, an acute triangle has all angles less than 90 degrees, a right triangle has one angle equal to 90 degrees, and an equilateral triangle has all sides equal.

Imagine Evelyn and Arjun are drawing on a giant piece of paper. They both draw lines that never meet, no matter how far they extend them. What are these lines called?

• Perpendicular lines

• Parallel lines

• Intersecting lines

• Skew lines

Answer explanation

Lines that lie in the same plane and do not intersect are called parallel lines. They maintain a constant distance apart and never meet, distinguishing them from perpendicular and intersecting lines.