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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

2 Pretest: Unit 3 Question 26 of 28 Which of the following theorems verifies that-example-1
User Azul
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1 Answer

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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!

User Americanslon
by
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