17
QuizMultiple Choice

Figures in the Coordinate Plane — Quiz

Question 17 • MASTER COURSE Geometry

Which statement proves that quadrilateral JKLM is a kite?

Answer
A
angle cap m is a right angle and line segment MK bisects angle LMJ .
B
line segment MK intersects line segment LJ at its midpoint.
C
The slope of line segment MK is negative 1 and the slope of line segment LJ is 1 .
D
LM is equal to JM is equal to 3 and JK is equal to LK is equal to square root of 17 .

Explanation

A kite has two pairs of adjacent sides that are equal in length. Choice B gives LM = JM = 3 and JK = LK = √17, so each pair of neighboring sides is congruent. The other choices describe angles, a midpoint, or perpendicular diagonals, which do not by themselves prove a quadrilateral is a kite.

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