1st Semester Geometry Study Guide

Front

What is the length of the wire that is 85 feet from the ground and makes a 28° angle with the ground?

Back

100 feet

Front

What is missing from Joaquin's proof?

Back

He never showed that ΔAXB is isosceles.

Front

What is the reason for the statement 'm∠1 + m∠2 = 180°'?

Back

B) Linear pairs are supplementary.

Front

Fill in the blank: The ratio of QR to PR is ____.

Back

1:2

Front

Which of the following statements is true according to the Triangle Inequality Theorem? (A) The sum of the lengths of any two sides of a triangle is equal to the length of the third side. (B) The difference between the lengths of any two sides of a triangle must be less than the length of the third side. (C) The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. (D) The lengths of all sides of a triangle must be equal.

Back

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

Define a linear pair of angles.

Back

A linear pair of angles are two adjacent angles formed when two lines intersect, and they are supplementary.

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

What is the definition of supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180°.

Front

What is the definition of complementary angles?

Back

Complementary angles are two angles whose measures add up to 90°.

Front

What is an isosceles triangle?

Back

An isosceles triangle is a triangle that has at least two sides of equal length.