4-3 Congruent Triangles Geometry

Congruent Figures ( )))) ))) (( ( )))) ))) (( B A ___ ___ ___ ___ D C 2 figures are congruent if they have the exact same size and shape. When 2 figures are congruent the corresponding parts are congruent. (angles and sides) Quad ABDC is congruent to Quad EFHG ___ ___ )))) ))) ___ (( D C F ( E ___ ___ ___ )))) ___ ))) (( H G

Ex. 1) If Δ ABC is  to Δ XYZ, identify all congruent parts?

Ex 2.): ABCD is  to HGFE, find x and y. 9cm A B E 91o F (5y-12)o 86o 113o D C 4x-3cm H G X = 3, y = 25

Ex. 3 Given ΔABC  ΔDBC ∠A = 49.3° ∠BCA = (2x – 16)°

Ex. 4 Given: ∠YWX and ∠YWZ are right angles. 𝑌𝑊 bisects ∠XYZ Ex. 4 Given: ∠YWX and ∠YWZ are right angles. 𝑌𝑊 bisects ∠XYZ. W is the midpoint of 𝑋𝑍. 𝑋𝑌 ≌ 𝑌𝑍 . Prove: ΔXYW  ΔZYW Y X W Z