Chapter 5: Q34 (page 171)

Find something interesting to prove. Then prove it. Answers may vary.
Given: $▱ EFIH; ▱ EGHJ; ∠ 1 ≅ ∠ 2$

Short Answer

Expert verified

It is proved that $∠ E G F ≅ ∠ H J I$ .

Step by step solution

Step 1. Description of step.

The opposite sides of a parallelogram are congruent.

In $▱ E F I H$ , $\bar{E F}$ and $\bar{H I}$ are the opposite sides of a parallelogram therefore, $\bar{E F} ≅ \bar{H I}$ .

In $▱ E G H J$ , $\bar{E G}$ and $\bar{H J}$ are the opposite sides of a parallelogram therefore, $\bar{E G} ≅ \bar{H J}$ .

Step 2. Description of step.

Consider $Δ E G F$ and $Δ H J I$ in which $\bar{E F} ≅ \bar{H I}$ , $\bar{E G} ≅ \bar{H J}$ and $∠ 1 ≅ ∠ 2$ then by SAS postulate $Δ E G F ≅ Δ H J I$ .

Step 3. Description of step.

As $Δ E G F ≅ Δ H J I$ , then by corresponding parts of congruent triangles, $∠ E G F ≅ ∠ H J I$ .

Therefore, it is proved that $∠ E G F ≅ ∠ H J I$ .

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Find something interesting to prove. Then prove it. Answers may vary.
Given: $▱ EFIH; ▱ EGHJ; ∠ 1 ≅ ∠ 2$

Short Answer

Step by step solution

Step 1. Description of step.

Step 2. Description of step.

Step 3. Description of step.

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Find something interesting to prove. Then prove it. Answers may vary.Given: ▱EFIH;▱EGHJ;∠1≅∠2

Short Answer

Step by step solution

Step 1. Description of step.

Step 2. Description of step.

Step 3. Description of step.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Discrete Mathematics

Geometry

Calculus

Pure Maths

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Find something interesting to prove. Then prove it. Answers may vary.
Given: $▱ EFIH; ▱ EGHJ; ∠ 1 ≅ ∠ 2$