AnswersPA-Geometry B-CRTrapezoids and Kites

Figures in the Coordinate Plane Answers

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What is true about triangle LMN? Check all that apply.

A
LM ⊥ MN.
B
The triangle is scalene.
C
The triangle is equilateral.
D
The triangle is isosceles.
E
The triangle is a right triangle.
5

The quadrilateral is a trapezoid because .

A
all opposite sides are parallel
B
all sides are perpendicular
C
only one pair of opposite sides is parallel
D
only one pair of sides has reciprocals
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The coordinates of the vertices for the figure HIJK are H(0, 5), I(3, 3), J(4, –1), and K(1, 1).

Answers:
To determine if it is a parallelogram, use the converse of the parallelogram diagonal theorem. This states that if the diagonals , then the quadrilateral is a parallelogram.:bisect each other
The midpoint of HJ is and the midpoint of IK is (2, 2).:(2, 2)
Therefore, HIJK is a parallelogram because the diagonals , which means they bisect each other.:have the same midpoint

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