Figures in the Coordinate Plane Answers

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Mary thinks the triangle is equilateral. How would you support or dispute her conjecture?

A
Calculate the slope of all three sides, and check whether the slopes are equal.
B
Calculate the slope of all three sides, and check whether any slopes are reciprocals.
C
Use the distance formula to calculate the length of all three sides, and check whether all sides are congruent.
D
Use the distance formula to calculate the length of all three sides, and check whether any two sides are congruent.
3

equalnegative reciprocalsreciprocals

A
equal
B
negative reciprocals
C
reciprocals
4

congruentparallelperpendicular

A
congruent
B
parallel
C
perpendicular
115774

Prove the diagonals of the square with vertices P(0, 4), Q(4, 4), R(0, 0), and S(4, 0) are perpendicular bisectors of each other. Step 1: Calculate the slope of the diagonals.

Answers:
The slope of diagonal QR is .:1
The midpoint of PS is .:(2, 2)
The midpoint of QR is .:(2, 2)
The diagonals of the square are perpendicular bisectors because the diagonals are .:perpendicular and share the same midpoint
115775

–101

A
–1
B
0
C
1
115776

(0, 4) (2, 2)(4, 2)

A
(0, 4)
B
(2, 2)
C
(4, 2)
115777

(4, 0)(2, 2)(2, 4)

A
(4, 0)
B
(2, 2)
C
(2, 4)
115778

parallel and share the same midpointperpendicular and share the same midpointthe same length

A
parallel and share the same midpoint
B
perpendicular and share the same midpoint
C
the same length
115779

23364665

A
23
B
36
C
46
D
65

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