Course: Geometry
Chapter 4: Triangle Congruence
Big Idea: Know and use properties of triangles. Be able to prove triangles congruent, and use that congruency to show other properties.
Learning Target: I CAN
[Quiz 4.2]
Example
Classify each triangle by its angle measures and side lengths.
4-1a
Classify triangles by
their angle measures and side
lengths.
4-1b
Use triangle
classification to find angle
measures and side lengths.
[Quiz 4.2]
1. Find mPNO
4-2a
Find the measures of
interior and exterior angles of
triangles.
2. In LMN, mMLN = 8xo., mLMN = (2x + 1)o and
mMNL = (6x – 1)o Find mLMN
4-2b
Apply theorems
about the interior and exterior
angles of triangles.
[Quiz 4.3]
4-3a
Use properties of
congruent triangles.
Given PQR  XYZ, identify the congruent corresponding parts.
P R  ______
Given
4-3b
Prove triangles
congruent by using the
definitions of congruence.
XYZ  ______
ABC  CDA , find the value of x and CD.
Starting
Getting
There
Got It
Learning Target: I CAN
[Quiz 4.4]
4-4a
Apply SSS and SAS
to construct triangles and to
solve problems.
Example
Given: A B
Starting
 DE , DB  AE
Prove: ADB  DAE
4-4b
Prove triangles
congruent by using SSS and
SAS.
[Quiz 4.4]
4-5a
Apply ASA, AAS,
and HL to construct triangles
and to solve problems.
Given: RST and UVW are right angles
RT = UW
mRTS = mUWV
Prove:
RST  UVW
4-5b
Prove triangles
congruent by using ASA,
AAS, and HL.
[Quiz 4.8]
4-6
Use CPCTC to
prove parts of triangles are
congruent.
[Quiz 4.8]
Given: M is the midpoint of B D .
BC  DC

Prove: 1  2
1. Find the value of RS.
4-8a
Prove Theorems
about isosceles and
equilateral triangles.
4-8b
Apply properties of
isosceles and equilateral
triangles.
2. Find the value of x
R
2y - 4.5
o
3x
1.5y
o
x+44
T
S
Getting
There
Got It