Geometric Proofs Practice Exercise

Front

What is the definition of congruence in geometry?

Back

Congruence in geometry means that two figures have the same shape and size.

Tags

CCSS.8.G.A.2

Front

What is an angle bisector?

Back

An angle bisector is a line or ray that divides an angle into two equal parts.

Tags

CCSS.HSG.CO.C.9

Front

What are complementary angles?

Back

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

Tags

CCSS.7.G.B.5

Front

What does it mean for two angles to form a linear pair?

Back

Two angles form a linear pair if they are adjacent and their non-common sides form a straight line.

Tags

CCSS.7.G.B.5

Front

What is the linear pair theorem?

Back

The linear pair theorem states that if two angles form a linear pair, then they are supplementary.

Tags

CCSS.7.G.B.5

Front

What is the definition of supplementary angles?

Back

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

Tags

CCSS.7.G.B.5

Front

What is the definition of perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees).

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Front

How can you determine if two angles are complementary?

Back

Two angles are complementary if the sum of their measures equals 90 degrees.

Tags

CCSS.7.G.B.5

Front

What is the relationship between perpendicular lines and right angles?

Back

If two lines are perpendicular, then they form right angles at the point of intersection.

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Front

What is the significance of the angle bisector in triangle geometry?

Back

The angle bisector of a triangle divides the opposite side into segments that are proportional to the adjacent sides.

Tags

CCSS.HSG.CO.C.9