AnswersEHS New Credit Topics in GeometryFigures in the Coordinate Plane (Sec 9-1)

Lesson 7: Figures in the Coordinate Plane Answers

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On a coordinate plane, quadrilateral J K L M with diagonals is shown. Point J is at (4, 5), point K is at (5, 1), point L is at (1, 2), and point M is at (1, 5).

Question illustration
A
∠M is a right angle and MK bisects ∠LMJ.
B
LM = JM = 3 and JK = LK = .
Option B
C
MK intersects LJ at its midpoint.
D
The slope of MK is –1 and the slope of LJ is 1.
3

The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?

A
Use the distance formula to find the length of each side, and then add the lengths.
B
Use the slope formula to find the slope of each of side, and then determine if the opposite sides are parallel.
C
Use the slope formula to find the slope of each of side, and then determine if the consecutive sides are perpendicular.
D
Use the distance formula to find the length of the sides, and then multiply two of the side lengths.
5

In the diagram, WZ=.

Question illustration
A
units
Option A
B
units
Option B
C
units
Option C
D
units
Option D
7

On a coordinate plane, parallelogram K L M N shown. Point K is at (7, 7), point L is at (5, 3), point M is at (1, 1), and point N is at (3, 5).

Question illustration
A
The midpoint of both diagonals is (4, 4).
B
The length of KM is and the length of NL is .
Option B
C
The slopes of LM and KN are both and NK = ML = .
Option C
D
The slope of KM is 1 and the slope of NL is –1.
8

LMNP is a parallelogram.

Question illustration
A
The length of LM is and the length of MN is .
Option A
B
The slope of LP and MN is –2.
C
LM ∥ PN
D
LP ⊥ PN

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Lesson 7: Figures in the Coordinate Plane…