4.

4 CPCTC and HL
NOTES
Write your Corresponding Parts of Congruent Triangles are Congruent
questions here!

GT
Given:

Prove:

WHY ARE THE TWO TRIANGLES CONGRUENT?____________

STATEMENTS REASONS
1.
1.GIVEN

2. XJH = JHI 2. ALT INT ANGLES

3. ?? 3. ??
4. 4.

5. 5.

TRIANGLE CONGRUENCE
Hypotenuse Leg
 Given: and are right angles

Prove: ∆ ∆

WHY ARE THE TWO TRIANGLES CONGRUENT?____________

STATEMENTS REASONS
. and are right angles
1. We have not learned HL
2. 2.

3. 3.

SUMMARIZE YOUR NOTES

Now,
summarize
your notes
here!

ALGEBRA REVIEW
SOLVE GRAPH MULTIPLY
26 7 3 2 4 3 2 1 2 1
2

x=9 4x^2 - 1

SOLVE GRAPH FACTOR

5 8 1 23 42
12

x = -96/5 (x+21)(x+2)
 4.4 PRACTICE
State if the two triangles are congruent. If they are, state why.
1. 2. 3.

AAS

NO NO
4. 5. 6.

NO

NO NO

Mark the picture. Answer the question. Prove it.

7.
Given: is the midpoint of

Prove:

WHY ARE THE TWO TRIANGLES CONGRUENT?____________

STATEMENTS REASONS

R midpoints SI GIVEN
S=I
HRI = SRQ VERTICAL ANGLES
S+SRQ+Q=H+I+HRI ???
Q=H SUB PROP OF =
 Mark the picture. Answer the question. Prove it.
8.
Given: is the angle bisector of

Prove:

WHY ARE THE TWO TRIANGLES CONGRUENT?____________

STATEMENTS REASONS

GE is the bisector fo LEF GIVEN

LE = FE
GE = GE REF PROP OF =

9.
Given: and are right angles

Prove:

WHY ARE THE TWO TRIANGLES CONGRUENT?____________

STATEMENTS REASONS

???
 4.4 APPLICATION
1. Mark the picture, state why the two triangles are congruent, then prove it!

STATEMENTS REASONS

???

2. Mark the picture, state why the two triangles are congruent, then prove it!

STATEMENTS REASONS

LO bisects MLN given

LO = LO REF PROP OF =
TRI LMO = TRI LNO AAS
 Fill in all of the missing angles to help you find x.
3. 4. 5.

74

74
74

58
53 58

47 32 32 74

6. 7. 8.
80
70
61 61

40 70
40
100 X 61 61
X 61

40
61
X
58
119

Use the picture to find the following:

9. 64
10. 2.5
11. 42
12. 35

Find the values of m and n.

13. 14. Text

15.

M = 36 M = 60
M = 20 N = 27 N = 30
N = 45