Question

directions: match the triangles to the congruent properties.
note: some properties may be used more than once, some properties may not be used at all.
5.
a. yes, sss
6.
b. yes, sas
7.
c. yes, hl, aas
8.
d. yes, asa
9.
e. not congruent

Explanation:

Step1: Analyze problem 5

Two sides and included angle are equal (SAS - Side - Angle - Side).

Step2: Analyze problem 6

Two right - angled triangles with hypotenuse and one leg equal (HL - Hypotenuse - Leg).

Step3: Analyze problem 7

No congruent property fits (not enough corresponding equal parts).

Step4: Analyze problem 8

Two angles and included side are equal (ASA - Angle - Side - Angle).

Step5: Analyze problem 9

Two right - angled triangles with hypotenuse and one leg equal (HL - Hypotenuse - Leg).

Answer:

1. B. Yes, SAS
2. C. Yes, HL
3. E. Not Congruent
4. D. Yes, ASA
5. C. Yes, HL