CONGRUENT

Congruent • Congruent figures have the same size and shape.

Which of these are congruent?

When you name congruent polygons, you must list their vertices in the same order. So … ABCD  FEHG

or … ADCB  GFEH but NOT ADCB  FEHG

Figures are congruent if and only if all their corresponding parts are congruent.

Corresponding parts of congruent figures are congruent. CPCFC

So, if you know that PQRS  WXYZ then you know P  W. and So, if you know that PQRS  WXYZ then you know P  W and 𝑃𝑄  𝑊𝑋 Q  X 𝑄𝑅  𝑋𝑌 R  Y 𝑅𝑆  𝑌𝑍 S  Z 𝑆𝑃  𝑍𝑊

These figures are congruent.

Write the correct name: ADCB  _____

Write the correct name: ADCB  WXYZ

Write the correct name: _____  ZYXW

Write the correct name: BCDA  ZYXW

Name the pairs of  angles.

Name the pairs of  angles. A  W, B  Z, C  Y, D  X

Name the pairs of  sides.

Name the pairs of  sides. 𝐴𝐵  𝑊𝑍 , 𝐵𝐶  𝑍𝑌 , 𝐶𝐷  𝑌𝑋 , 𝐷𝐴  𝑋𝑊

Explain why ABC  EDC.

What would you need to know to say ABD  CBD ?

THIRD ANGLES THEOREM

THIRD ANGLES THEOREM If two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent.

THIRD ANGLES THEOREM WHY?

REMEMBER congruent CPCFC 3rd angle