Geometry Unit 5 CW1- Corresponding parts of congruent triangles

Front

What are corresponding parts of congruent triangles?

Back

Corresponding parts of congruent triangles are sides and angles that are equal in measure when two triangles are congruent.

Front

If ΔABC ≅ ΔXYZ, what can we say about the sides AB and AZ?

Back

AB = AZ, meaning the corresponding sides of congruent triangles are equal.

Front

What does the symbol '≅' represent in geometry?

Back

The symbol '≅' represents that two figures are congruent, meaning they have the same shape and size.

Front

What is the relationship between corresponding angles in congruent triangles?

Back

Corresponding angles in congruent triangles are equal in measure.

Front

If ΔPQR ≅ ΔLJK, what can we conclude about side PR and side JL?

Back

PR = JL, meaning the corresponding sides of the congruent triangles are equal.

Front

How do you determine if two triangles are congruent?

Back

Two triangles can be determined to be congruent using criteria such as SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), or HL (Hypotenuse-Leg for right triangles).

Front

What is the measure of angle S if angle E corresponds to it in congruent triangles?

Back

Angle S = Angle E, meaning they have the same measure.

Front

If ΔGAM ≅ ΔERS and GA = 11, what is the length of ER?

Back

ER = 11, since corresponding sides of congruent triangles are equal.

Front

What is the significance of the congruence statement ΔABC ≅ ΔXYZ?

Back

It indicates that all corresponding sides and angles of triangles ABC and XYZ are equal.

Front

If PR = 2x + 6 and JL = 10 in congruent triangles, how do you find x?

Back

Set 2x + 6 = 10 and solve for x: 2x = 4, x = 2.