Chapter 4.3, Problem 26E

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

# In Exercises 25 and 26, supply the missing statements and reasons. Given: ▭ W X Y Z  with diagonals  W Y ¯  and  X Z ¯ Prove: ∠ 1 ≅ ∠ 2 PROOF Statements Reasons 1. ? 1. Given 2. ? 2. The diagonals of a rectangle are ≅ 3. W Z ¯ ≅ X Y ¯ 3. The opposite sides of a rectangle are ≅ 4. Z Y ¯ ≅ Z Y ¯ 4. ? 5. △ X Z Y ≅ △ W Y Z 5. ? 6. ? 6. ?

To determine

To supply:

The missing statements and reasons and prove 12.

Explanation

SSS Rule for triangle congruency:

Calculation:

Consider the rectangle.

 PROOF Statements Reasons 1. WXYZ is a rectangle with diagonals of WY and XZ. 1. Given 2. WY is congruent to XZ.WYÂ¯â‰…ZXÂ¯ 2. The diagonals of a rectangle are â‰… 3

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