Answers2026-2027_MDCPS_1206315_Geometry Sem 2Figures in the Coordinate Plane (Sec 9-1)Question 115782
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AssignmentMultiple Choice

Figures in the Coordinate Plane (Sec 9-1)

Question 115782 • 2026-2027_MDCPS_1206315_Geometry Sem 2

Which statement proves that quadrilateral HIJK is a kite?

Answer
A
HI ⊥ IJ, and m∠H = m∠J.
B
IH = IJ = 3 and JK = HK = , and IH ≠ JK and IJ ≠ HK.
C
IK intersects HJ at the midpoint of HJ at (−1.5, 2.5).
D
The slope of HK = and the slope of JK = .

Explanation

A kite has two distinct pairs of equal adjacent sides. In B, HI = IJ, and JK = HK, so each pair consists of sides that meet at a vertex. The additional inequalities rule out the sides in one pair also being equal to the sides in the other pair, confirming the kite condition.

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