AnswersEAP-Geometry B CRTrapezoids and Kites

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.
115771

1✔ –1undefined

A
1
B
✔ –1
C
undefined
115772

equal✔ negative reciprocalsreciprocals

A
equal
B
✔ negative reciprocals
C
reciprocals
115773

congruentparallel✔ perpendicular

A
congruent
B
parallel
C
✔ perpendicular
115774

–10undefined

A
–1
B
0
C
undefined
115775

–10✔ 1

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 midpoint✔ perpendicular 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
115781

Which steps will verify that a parallelogram is a rectangle? Check all that apply.Calculate the lengths of the diagonals, and show that they are equal.Calculate the lengths of all sides, and show that both pairs of opposite sides are congruent.Calculate the slope of each diagonal, and show that the lines are perpendicular.Calculate the midpoints of each diagonal, and show the diagonals bisect each other.Calculate the slopes of every side, and show that adjacent sides are perpendicular.

A
Calculate the lengths of the diagonals, and show that they are equal.
B
Calculate the lengths of all sides, and show that both pairs of opposite sides are congruent.
C
Calculate the slope of each diagonal, and show that the lines are perpendicular.
D
Calculate the midpoints of each diagonal, and show the diagonals bisect each other.
E
Calculate the slopes of every side, and show that adjacent sides are perpendicular.
115782

–101

A
–1
B
0
C
1
115783

Which statement proves that quadrilateral HIJK is a kite?

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 = .
115784

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.
115786

Which steps will verify that a parallelogram is a rectangle? Check all that apply.Calculate the lengths of the diagonals, and show that they are equal.Calculate the lengths of all sides, and show that both pairs of opposite sides are congruent.Calculate the slope of each diagonal, and show that the lines are perpendicular.Calculate the midpoints of each diagonal, and show the diagonals bisect each other.Calculate the slopes of every side, and show that adjacent sides are perpendicular.

A
Calculate the lengths of the diagonals, and show that they are equal.
B
Calculate the lengths of all sides, and show that both pairs of opposite sides are congruent.
C
Calculate the slope of each diagonal, and show that the lines are perpendicular.
D
Calculate the midpoints of each diagonal, and show the diagonals bisect each other.
E
Calculate the slopes of every side, and show that adjacent sides are perpendicular.
115787

⇒ 20

Answer:

115769

115788

Prove that the diagonals of kite UVWX are perpendicular.

Answers:
The slope of XV is .:1
The slope of UW is .:–1
Step 3: The slopes of the diagonals are .:negative reciprocals
The diagonals of kite UVWX are .:perpendicular

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