The figure is a parallelogram. One diagonal measures Is the figure a rectangle? Explain. 28 units. No, it is not a rectangle because the diagonals are congruent. 20 No, it is not a rectangle because the sides of the parallelogram do not meet at right angles. 21 28 Yes, it is a rectangle because the diagonals are 21 congruent. Yes, it is a rectangle because the sides of the parallelogram do meet at right angles. 20

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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**The Figure Is a Parallelogram**

### Problem Statement
The figure is a parallelogram. One diagonal measures 28 units.

*[Illustration of the parallelogram depicted with side lengths 20 units and 21 units, and a diagonal measuring 28 units, shown within the figure]*

### Question
Is the figure a rectangle? Explain.

### Answer Choices:
1. No, it is not a rectangle because the diagonals are congruent.
2. No, it is not a rectangle because the sides of the parallelogram do not meet at right angles.
3. Yes, it is a rectangle because the diagonals are congruent.
4. Yes, it is a rectangle because the sides of the parallelogram do meet at right angles.

### Graphical Description
The provided diagram shows a parallelogram with side lengths of 20 units and 21 units. One of its diagonals measures 28 units. This diagram will aid in understanding whether the figure qualifies as a rectangle based on properties of the diagonals and angles.

### Controls
- Mark this and return
- Save and Exit
- Next (Right Arrow)
- Submit

*[Ensure to include interaction controls for user participation]*
Transcribed Image Text:**The Figure Is a Parallelogram** ### Problem Statement The figure is a parallelogram. One diagonal measures 28 units. *[Illustration of the parallelogram depicted with side lengths 20 units and 21 units, and a diagonal measuring 28 units, shown within the figure]* ### Question Is the figure a rectangle? Explain. ### Answer Choices: 1. No, it is not a rectangle because the diagonals are congruent. 2. No, it is not a rectangle because the sides of the parallelogram do not meet at right angles. 3. Yes, it is a rectangle because the diagonals are congruent. 4. Yes, it is a rectangle because the sides of the parallelogram do meet at right angles. ### Graphical Description The provided diagram shows a parallelogram with side lengths of 20 units and 21 units. One of its diagonals measures 28 units. This diagram will aid in understanding whether the figure qualifies as a rectangle based on properties of the diagonals and angles. ### Controls - Mark this and return - Save and Exit - Next (Right Arrow) - Submit *[Ensure to include interaction controls for user participation]*
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