Chapter 4: Q10CE. (page 124)

Explain how you would prove the following. Given that $\bar{H Y} ≅ \bar{L Y}, \bar{W H} | | \bar{L F}$ . Prove that $Δ W H Y ≅ Δ F L Y$ .

Short Answer

Expert verified

$Δ W H Y ≅ Δ F L Y$

Step by step solution

Step 1. Consider the figure.

Consider the figure.

Step 2. Step description.

Use the two-column proof as follows:

Statement	Reasons
$\bar{H Y} = \bar{L Y}$	From the question.
$∠ H Y L = ∠ F Y L$	Vertical angles are equal.
$∠ H = ∠ L$	Alternate interior angles
$Δ W H Y ≅ Δ F L Y$	By Angle-side-angle Postulate

Step 3. Step description.

Therefore, $Δ W H Y ≅ Δ F L Y$ .

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Explain how you would prove the following. Given that $\bar{H Y} ≅ \bar{L Y}, \bar{W H} | | \bar{L F}$ . Prove that $Δ W H Y ≅ Δ F L Y$ .

Short Answer

Step by step solution

Step 1. Consider the figure.

Step 2. Step description.

Step 3. Step description.

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Explain how you would prove the following. Given that HY¯≅LY¯,WH¯||LF¯. Prove that ΔWHY≅ΔFLY.

Short Answer

Step by step solution

Step 1. Consider the figure.

Step 2. Step description.

Step 3. Step description.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Geometry

Applied Mathematics

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Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Explain how you would prove the following. Given that $\bar{H Y} ≅ \bar{L Y}, \bar{W H} | | \bar{L F}$ . Prove that $Δ W H Y ≅ Δ F L Y$ .