yw xz xy yz xyw zyw - west branch high school 8-4.pdf8.4 triangle congruence: cpctc cpctc is an...
TRANSCRIPT
Given: YW bisects XZ, XY ≅ YZ.
Prove: XYW ≅ ZYW
WARM UP
8.4 Triangle Congruence: CPCTC
Objective: Use triangle congruence and CPCTC to prove that parts of two triangles are congruent.
8.4 Triangle Congruence: CPCTC
CPCTC is an abbreviation for the phrase “Corresponding Parts of Congruent Triangles are Congruent.” It can be used as a justification in a proof after you have proven two triangles congruent.
REMINDER:SSS, SAS, ASA, AAS, and HL use corresponding parts to prove triangles congruent. CPCTC uses congruent triangles to prove corresponding parts congruent.
A and B are on the edges of a ravine. What is AB?
WHY?
A landscape architect sets up the triangles shown in the figure to find the distance JK
across a pond. What is JK?
WHY?
PROOF
Given: YW bisects XZ, XY ≅ YZ.
Prove: ∠XYW ≅ ∠ZYW
Complete Wksht # 79
Using CPCTC with Triangle Congruence
HW # 92p. 42930 # 110