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Select the correct answer from each drop-down menu.
Given: K(0, 0), L(a, b), M(3a, b), N(4a, 0) are the vertices of quadrilateral KLMN, where a Oand b = 0.
Prove: KLMNis a trapezoid.
K(0,0), L(a, b), M(3a, b), N(4a, 0) are the vertices of quadrilateral KLMN. The slope of each segment can be calculated.
The slope of KLis
a. Undefined
B. B/a
C. 0
D.-b/a
The slope of LMis
a. Undefined
B. B/a
C. 0
D.-b/a
because parallel segments have the same slope. By
The slope of MNis-. The slope of KNis 0. Therefore,
a. KN is parallel to side LM
B. KL is parallel to side MN
C. KL is parallel to side LM
the definition of a trapezoid, KLMNis a trapezoid.

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Medunno13

Question 1

[tex]m_{KL}=\frac{b-0}{a-0}=\boxed{\frac{b}{a}}[/tex]

Question 2

[tex]m_{LM}=\frac{b-b}{3a-a}=\boxed{0}[/tex]

Question 3

KN is parallel to side LM

  • Both KN and LM have the same slope.
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