

Geometry Notes - Section 4.6 Triangle Congruence CPCTC
Presentation
•
Mathematics
•
10th Grade
•
Practice Problem
•
Medium
+2
Standards-aligned
Joseph Lloyd
Used 1+ times
FREE Resource
5 Slides • 11 Questions
1
2
3
Multiple Choice
A landscape architect sets up the triangle shown in the figure to find the distance of JK across a pond. What is JK?
30 ft
41 ft
19 ft
60 ft
4
Multiple Choice
An archaeologist wants to find the height AB of a rock formation. She places a marker at C and steps off the distance from C to B. Then she walks the same distance from C and places a marker at D. If DE = 6.3 m, what is AB?
2.1 m
3.8 m
7.2 m
6.3 m
5
Multiple Select
Which postulate can you use to prove the triangles in the image are congruent?
HL
SAS
ASA
SSS
6
7
Multiple Select
Which of the following are statements and reasons you can use to prove PQ is congruent to PS? Hint, multiple answers may be correct
PR is congruent to PR by the reflexive proerty
Angle QPS is congruent to SPR by angle bisector theorem
Triangle QPR is Congruent to SPR by ASA
PQ is congruent to PS by CPCTC
8
Multiple Select
Given:
1. X is the midpoint of ST
2. RX is perpendicular to ST
Prove: RS is congruent to RT by CPCTC
Hint, multiple answers may be correct
angle RXS is 90° by the definition of perpendicular segments
SX is congruent to RX by the definition of midpoint
RX is congruent to RX by the reflexive property
Triangle RXS is congruent to triangle RXT by HL postulate
9
10
Multiple Select
Prove KL is parallel to MN. Hint, multiple answers can be correct
KJ is congruent to JM by the definition of midpoint
LJ is congruent to JN by the definition of midpoint
Angle KJN is congruent to LJM by the definition of vertical angles
Triangle KJN is congruent to LJM by CPCTC
11
12
Multiple Choice
Prove that RT = JL using the distance formula
RT = JL = 5
RT = JL = 5
RT = JL = 2 5
RT = JL = 2
13
Multiple Choice
Prove that RS = JK using the distance formula
RS = JK = 10
RS = JK = 10
RS = JK = 2
RS = JK = 5
14
Multiple Choice
Prove that ST = KL using the distance formula
ST = KL = 3.8259
ST = KL = 17
ST = KL = 17
ST = KL = 6.284
15
Multiple Choice
How is triangle JKL congruent to RST (hint, you need to know the last three question answers to know the answer)
JKL congruent to RST by SSS
JKL congruent to RST by SAS
JKL congruent to RST by AAS
JKL congruent to RST by HL
16
Multiple Choice
Angle JKL is congruent to angle RST by
HL
CPCTC
ASA
AAS
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