Transcript Using Congruent Triangles: CPCTC

Using Congruent Triangles: CPCTC
LESSON 4-4
Additional Examples
What other congruence statements can you prove from the
diagram, in which SL SR, and 1 2 are given? SC SC by the
Reflexive Property of Congruence, and LSC
RSC by SAS.
3 4 by corresponding parts of congruent triangles are congruent.
When two triangles are congruent,
you can form congruence statements
about three pairs of corresponding angles
and three pairs of corresponding sides.
List the congruence statements.
HELP
GEOMETRY
Using Congruent Triangles: CPCTC
LESSON 4-4
Additional Examples
(continued)
Sides:
Angles:
SL
SC
CL
1
3
CLS
SR
SC
CR
Given
Reflexive Property of Congruence
Other congruence statement
2
4
Given
Corresponding Parts of
Congruent Triangles
CRS
Other congruence statement
In the proof, three congruence statements are used, and one congruence
statement is proven. That leaves two congruence statements remaining that
also can be proved:
CLS CRS
Quick Check
CL CR
HELP
GEOMETRY
Using Congruent Triangles: CPCTC
LESSON 4-4
Additional Examples
The Given states that DEG and DEF are right angles.
What conditions must hold for that to be true?
DEG and DEF are the angles the officer makes with the ground.
So the officer must stand perpendicular to the ground, and the ground
must be level.
Quick Check
HELP
GEOMETRY