Lessons 5.1-5.3

Front

What does the symbol \( \Delta ADC \cong \Delta CBA \) indicate?

Back

It indicates that triangle ADC is congruent to triangle CBA, meaning they have the same shape and size.

Front

What theorem justifies the conclusion that vertical angles are equal?

Back

The Vertical Angles Theorem states that vertical angles are always equal.

Front

What type of angle relationship exists between angles 1 and 12 when two parallel lines are cut by a transversal?

Back

Angles 1 and 12 are Alternate Exterior Angles.

Front

What is the definition of complementary angles?

Back

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

Front

What is the sum of same side interior angles when parallel lines are cut by a transversal?

Back

Same side interior angles add up to 180 degrees.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, having corresponding sides and angles that are equal.

Front

What is the relationship between corresponding angles when two parallel lines are cut by a transversal?

Back

Corresponding angles are equal when two parallel lines are cut by a transversal.

Front

What is the definition of alternate interior angles?

Back

Alternate interior angles are pairs of angles that are on opposite sides of the transversal and inside the two lines.

Front

What is the definition of supplementary angles?

Back

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

Front

What is the significance of the Transversal Line in geometry?

Back

A transversal line intersects two or more lines, creating various angle relationships that can be analyzed.