Geometry 4-6 CPCTC
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Geometry 4-6 CPCTC C – Corresponding P – Parts of C – Congruent T – Triangles are C – Congruent After you prove two triangles are congruent using SSS, SAS, ASA, AAS, or HL Then you can say that all of their unmarked sides and angles are also congruent by CPCTC.
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Geometry 4-6 CPCTC. C – Corresponding P – Parts of C – Congruent T – Triangles are C – Congruent After you prove two triangles are congruent using SSS, SAS, ASA, AAS, or HL Then you can say that all of their unmarked sides and angles are also congruent by CPCTC. Example. - PowerPoint PPT Presentation
Transcript of Geometry 4-6 CPCTC
Geometry 4-6 CPCTCC – CorrespondingP – Parts ofC – Congruent T – Triangles areC – Congruent
After you prove two triangles are congruent usingSSS, SAS, ASA, AAS, or HL
Then you can say that all of their unmarked sides and angles are also congruent by CPCTC.
Example
24
3x-3
A
B
C
T
U
V
Determine if the two Δ’s are congruent. If they are, find the value of x.
ΔABC ≅ ΔTVU by HL. So, AB ≅ TV by CPCTC. 3x – 3 = 24 and x = 9.
ExampleDetermine if the two Δ’s are congruent. If they are, find the value of x.
3x - 4
2x
You cannot use unmarked sides. So, there is not enough information to prove the two triangles are congruent.
Example
Find the values of x and y.
Given: PR bisects QPS and QRS.
125°
x - 5°
12
2y - 4
ΔPRS ≅ ΔPRQ by ASA. PQ ≅ PS by CPCTC. 2y – 4 = 12 so y = 8. ∠Q ≅ ∠S by CPCTC. x – 5 = 125 so x =
130.
