Corresponding Sides and Angles

Front

What are corresponding angles?

Back

Corresponding angles are pairs of angles that are in the same position on different parallel lines cut by a transversal. They are equal in measure.

Tags

CCSS.8.G.A.5

Front

What is the relationship between corresponding sides in similar triangles?

Back

In similar triangles, corresponding sides are proportional. This means the ratio of the lengths of corresponding sides is the same.

Tags

CCSS.HSG.SRT.A.2

Front

If \( \Delta ABC \sim \Delta DEF \), what can be said about \( \angle A \) and \( \angle D \)?

Back

If \( \Delta ABC \sim \Delta DEF \), then \( \angle A \) is equal to \( \angle D \) because corresponding angles in similar triangles are equal.

Tags

CCSS.HSG.SRT.A.2

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If \( \Delta PQR \) is similar to \( \Delta STU \), what side corresponds to side \( ST \)?

Back

The side that corresponds to side \( ST \) is \( PQ \).

Tags

CCSS.HSG.SRT.A.2

Front

What is the definition of congruent angles?

Back

Congruent angles are angles that have the same measure.

Tags

CCSS.8.G.A.2

Front

How do you identify corresponding sides in similar triangles?

Back

To identify corresponding sides in similar triangles, match the angles of one triangle to the angles of the other triangle and find the sides opposite those angles.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If \( \angle A \) corresponds to \( \angle X \), what can be said about their measures?

Back

The measures of \( \angle A \) and \( \angle X \) are equal.

Tags

CCSS.8.G.A.5

Front

What is the significance of corresponding angles in parallel lines?

Back

Corresponding angles formed by a transversal cutting through parallel lines are always equal, which helps in proving lines are parallel.

Tags

CCSS.8.G.A.5

Front

If \( \angle T \) corresponds to \( \angle Q \), what can be inferred?

Back

If \( \angle T \) corresponds to \( \angle Q \), then \( \angle T \) and \( \angle Q \) have the same measure.

Tags

CCSS.8.G.A.5