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
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