Geometry B U2 L6 Trapezoids and Kites Quiz Answers -
1. Classify the figure in as many ways as possible.
Answer - A. rectangle; square; quadrilateral; parallelogram; rhombus
2. Which statement is true?
Answer - C. All rectangles are quadrilaterals.
3. Lucinda wants to build a square sandbox, but she has no way of measuring angles. Which of the following explains how she can make sure the sandbox is square by measuring only length.
Answer - B. Arrange four equal-lengths, so the diagonals are equal lengths also.
4. ∠J and ∠M are base angles of isosceles trapezoid JKLM. If m∠J = 20x + 9 and m∠M = 14x + 15, find m∠K.
Answer - A. 151°
5. In the rhombus m∠1 = 18x, m∠2 = x + y, and m∠3 = 30z. Find the value of x + y + x. The diagram is not drawn to scale.
Answer - A. 93
6. In rectangle KLMN, KM = 6x + 16, and LN = 49. Find the value of x.
Answer - D. 5.5
7. Find the value of a. The diagram is not to scale.
Answer - B. 144°
8. LM is the midsegment of trapezoid ABCD. If AB = 46 and DC = 125, what is LM?
Answer - D. 85.5
9. ABCD is a rhombus. Explain why ABC=CDA.
Answer - All sides of the rhombus have equal length, so AB is congruent to AD, and BC is congruent to DC, BD is congruent to BD by reflexive equality. ABC is therefore congruent to CDA by SSS.
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