   # Are quadrilaterals ABCD and EFGH congruent if: a) A B ¯ ≅ E F ¯ , ∠ B ≅ ∠ F , B C ¯ ≅ F G ¯ and ∠ C ≅ ∠ G ? b) ∠ A ≅ ∠ E , A B ¯ ≅ E F ¯ , ∠ B ≅ ∠ F , B C ¯ ≅ F G ¯ , an ∠ C ≅ ∠ G ? Exercises 39, 40 ### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
Publisher: Cengage,
ISBN: 9781337614085

#### Solutions

Chapter
Section ### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
Publisher: Cengage,
ISBN: 9781337614085
Chapter 3.1, Problem 40E
Textbook Problem
1 views

## Are quadrilaterals ABCD and EFGH congruent if: a) A B ¯ ≅ E F ¯ , ∠ B ≅ ∠ F , B C ¯ ≅ F G ¯ and ∠ C ≅ ∠ G ? b) ∠ A ≅ ∠ E , A B ¯ ≅ E F ¯ , ∠ B ≅ ∠ F , B C ¯ ≅ F G ¯ , an ∠ C ≅ ∠ G ? Exercises 39, 40

To determine

a)

To proof:

The quadrilaterals ABCD and EFGH are congruent, if two sides and two angles of quadrilaterals are congruent to each other.

### Explanation of Solution

Given:

The quadrilaterals ABCD and EFGH are shown in the figure below,

Figure (1)

From figure (1),

AB¯EF¯BFBC¯FG¯CG

Calculation:

ABCD and EFGH

From the given data, the two sides and two angles of quadrilaterals are congruent to each other

To determine

b)

To proof:

The quadrilaterals ABCD and EFGH are congruent, if two sides and three angles of quadrilaterals are congruent to each other.

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