# Geometry B U2 L5 Conditions for Rhombuses, Rectangles, and Squares Answers -

This has two parts. The first will be the practice answers, the second part will be the quick check answers.

Practice Answers -

1. Which of the following statements are true? Statement 1: A parallelogram is always a rectangle. Statement 2: A square is always a rhombus. Statement 3: A rectangle is always a square.

Answer - C. Statement 2 only

2. Which of the following statements can be made about the parallelogram shown below? Note that the figure is not drawn to scale.

Answer - A. It is a rhombus.

3. For which value of x is the figure a rhombus?

Answer - C. x = 12

4. For which value of x is the figure a rectangle?

Answer - A. x = 1

5. A carpenter is building a bookcase. How can the carpenter use a tape measure to check if the bookshelf is rectangular?

Answer - B. She can measure the opposite sides. If they are congruent, then the bookshelf is in the shape of a parallelogram. Then she can measure the diagonals. If they are congruent, then the bookshelf is rectangular.

6. Suppose the diagonals of a parallelogram are both perpendicular and congruent. Which type of special quadrilateral is it? Use the most descriptive name possible.

Answer - C. square

7. For which value of x is the figure a rectangle?

Answer - B. x = 11

8. For which value of x is the figure a rhombus?

Answer - D. x = 7

9. Which reason completes the proof below? AB ≅ CF and BC ≅ AD - ?

Answer - A. Opposite sides of a parallelogram are congruent.

10. In the figure below, LN = 4x - 7 and MO = 2x + 13. For which value of x is the figure a rectangle?

Answer - A. x = 10

Quick Check Answers -

1. Which is the most precise name of this figure?

Answer - B. Rhombus

2. Which of the following conditions or set of conditions must be met for a parallelogram to be a rectangle?

Answer - B. Diagonals are congruent

3. Which of the following conditions or set of conditions is sufficient for a parallelogram to be a square

Answer - A. Diagonals are perpendicular ,and diagonals are congruent

4. For which of x is XYZA a rectangle?

Answer - C. 4

100% Hope this helps!