Download 4.2 Congruent Figures

Geometry Chapter 4: Congruent Triangles 4.2-­‐ Apply Congruence and Triangles SWBAT: identify congruent figures. Common Core: G.CO.10
“Do Now” (at the right) Find the value of x & y. Vocabulary Two geometric figures are congruent if they have exactly the ____________________________________________. In two congruent figures all the parts of one figure are congruent to the corresponding parts of the other figure. Congruence Statements-­‐ must be in order and match up. Example 1: Identify congruent parts Write a congruence statement for the triangles. Identify all pairs of congruent corresponding parts. Geometry Chapter 4: Congruent Triangles Example 2: Use properties of congruent figures In the diagram 𝑄𝑅𝑆𝑇 ≅ 𝑊𝑋𝑌𝑍 a) Find the value of x. b) Find the value of y. Example 3: Show that figures are congruent Painting: If you divide the wall into orange and blue sections along 𝐽𝐾, will the sections of the wall be the same shape? Explain your reasoning. Theorem 4.3 Third Angles Theorem If two angles of one triangle are congruent to two angles of another triangle, then the third angles are also __________________________________. Example 4: Use the Third Angles Theorem a) 𝐹𝑖𝑛𝑑 𝑚∠𝐵𝐷𝐶. Geometry Chapter 4: Congruent Triangles Find 𝒎∠𝑽. Example 5: Prove that triangles are congruent Homework: Pgs. 228 – 230 #’s 3 – 20 All and 26