Figures in the Coordinate Plane Answers

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

Triangle ABC is an isosceles triangle in which sideAB = AC. What is the perimeter of triangle ABC?

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.

Prove that the diagonals of kite UVWX are perpendicular.

Which statement proves that quadrilateral HIJK is a kite?

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

Triangle ABC is an isosceles triangle in which sideAB = AC. What is the perimeter of triangle ABC?

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.

⇒ 20

Prove that the diagonals of kite UVWX are perpendicular.

Which statement proves that quadrilateral HIJK is a kite?

2336✔ 4665

⇒ 20

1✔ –1undefined

equal✔ negative reciprocalsreciprocals

congruentparallel✔ perpendicular

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.

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.

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.

–10✔ 1

(0, 4) ✔ (2, 2)(4, 2)

(4, 0)✔ (2, 2)(2, 4)

parallel and share the same midpoint✔ perpendicular and share the same midpointthe same length

2336✔ 4665