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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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In Exercises 23 and 24, supply the missing statements and reasons.

Given: W X Y Z  with diagonals  W Y ¯  and  X Z ¯
Prove: 1 2

Chapter 4.3, Problem 24E, In Exercises 23 and 24, supply the missing statements and reasons. Given: WXYZwithdiagonalsWYandXZ

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.
WY¯ZX¯
2. The diagonals of a rectangle are
3

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