Download 4.5 Using Congruent Triangles

Bellringer: What do the letters CPCTC mean
when proving triangles congruent?
Bellringer: What do the letters CPCTC mean
when proving triangles congruent?
Corresponding Parts of
Congruent Triangles are
Congruent
Daily Learning Target:
“I can use the sides and angles of triangles
congruent triangles to prove they are
congruent.”
Assignment:
Pgs. 222-225 #2, 3, 22-24, 26-28
2.
Statements:
Reasons:
1. ABD≅CBD
2. BDA≅BDC
3. BD ≅ BD
1. Given
2. Given
3. Reflexive Property of
Congruence
4. ASA
5. CPCTC
4. ∆ABD≅∆CBD
5. AB ≅ CB
3.
Statements:
Reasons:
1. OM ≅ ER
2. ME ≅ RO
3. OE ≅ OE
1. Given
2. Given
3. Reflexive Property of
Congruence
4. SSS
5. CPCTC
4. ∆MOE≅∆REO
5. M≅R
22.
23.
24.
26.
27.
28.
C
J
A
ASA
AAS
The angles are 95 and 85
4.6 Hypotenuse-Leg
Theorem
Geometry
Mr. Peebles
Fall 2012
Hypotenuse-Leg (HL)Theorem:
If the hypotenuse and leg of one right
triangle are congruent to the hypotenuse and
leg of another right triangle, then the
triangles are congruent.
Closure – Whiteboards:
List six (6) different ways to prove triangles
congruent?
Closure – Whiteboards:
List six (6) different ways to prove triangles
congruent?
SSS
AAS
SAS
CPCTC
ASA
HL