Question

2 Pretest: Unit 3

Question 26 of 28
Which of the following theorems verifies that AWVU ARST?
A. LA
B. HA
C. LL
D. HL

Answer 1

Answer: OPTION (D): HL - HYPOTENUSE LEG

THEREFORE, The TRIANGLES are CONGRUENT by: OPTION (D) HL

• Explanation:

• Which of the following theorems verifies that ΔWVU ≅ ΔRST?

A. LA

B. HA

C. LL

D. HL

• ANALYSIS:

TWO RIGHT TRIANGLES are CONGRUENT id the HYPOTENUSE and a LEG of one of the TRIANGLES are EQUAL to the HYPOTENUSE and the CORRESPONDING LEG of the oTHER TRIANGLE.

• PROVE:

We can see that ST = VU, From the figure, ALSO, WV = RS

• NOW:

The TRIANGLES are CONGRUENT by the HL criterion.

ΔWVU ≅ ΔRST

• CONCLUSION:

THEREFORE, The TRIANGLES are CONGRUENT by: OPTION (D) HL

I hope this helps you!