5.4 Hypotenuse-Leg Congruence Theorem: HL
Today’s Objective
You will use the Hypotenuse-Leg Congruence Theorem to prove triangles are
congruent.
Today’s Schedule
1) Go Over Homework
2) Lesson
3) Homework Time
5.4 Hypotenuse-Leg Congruence Theorem: HL
1. Is it possible to show that ∆𝐴𝐵𝐶 ≅ ∆𝐴𝐷𝐶 using the HL Congruence
Theorem? Explain your reasoning.
A
B
D
C
2. Use the figure to prove that ∆𝑇𝑈𝑉 ≅ ∆𝑋𝑊𝑉.
W
T
X
U
V
Given:
Prove:
Statements
Reasons
3. Does the diagram give enough information to prove that the triangles are
congruent? If so, state the postulate or theorem you would use.
A
D
C
B
E
4. Use the information in the figure to prove that ∆𝑃𝑄𝑆 ≅ ∆𝑅𝑄𝑆.
Q
P
S
R
Given:
Prove:
Statements
Reasons
ON YOUR OWN
Checkpoint Exercises on p. 259
Closing Questions
Name the five ways we have learned to prove triangles are congruent.
1.
2.
3.
4.
5.
Homework – p. 260 (10-33)