Congruence Problems Using theorems Congruency Thms x n
Congruence Problems Using theorems
Congruency Thms. x n List the 4 triangle congruency thms. SSS ASA (or AAS) SAS RHS
-Consider this- n D Why are the two triangles congruent? SAS What are the corresponding vertices? A D C E n F E A C B B F n What are the corresponding sides?
-Example 1 n G Draw a triangle GHI in which: 6 cm m G= 90°, m G = 90° m H ==30°. m H 30° I Will everyone else’s drawing be congruent to yours? Why or why not? 30° H
-Example 2 n Why are the two triangles congruent? A SSS n Name the corresponding vertices D B A C ADB CDB ABD C n What isometry maps ADB onto CDB? A reflection
-Example 3 E B A C n Given: A is a midpoint of Prove: BAE DAC. S A is midpoint of BD BAE DACA Vert. opposite angles S A is midpoint of EC D BAE DAC By SAS property
-Example 4 n A D Given: Prove: B D S S S ABC CDA B D Given B Given Reflexive property By SSS property Corresponding ’s in congruent ’s are congruent C
-Example 5 n Q Given: P T m QSR = m PRS = 90° n Prove: QSR PRS = 90° QSR PRS S R H S Given Reflexive property By RHS property Corresponding sides in congruent ’s are congruent R
- Slides: 8