Mastery Practice

PG5: Using Coordinates of Quadrilaterals

Quadrilateral Choices Formulas

Parallelogram Rectangle Trapezoid

Square Rhombus kite

Slope 𝑦2 − 𝑦1𝑥2 − 𝑥1

Distance

√(𝑥2 − 𝑥1)2 + (𝑦2 − 𝑦1)

2

For problems 1-4, use slope or distance formula to determine the most precise name for the figures formed by the given points.

1) A(5,3), B(3,5), C(3,1), D(1,3)

2) A(7,6), B(6,8), C(2,3), D(1,5)

3) A(4,0), B(0,3), C(0,-3), D(−4,0)

4) A(6,4), B(1,3), C(3,2), D(−2,1)

5) Given points A(1,2), B(2,5), and C(5,7), find the fourth point, D, that will make this figure a parallelogram.

6) Given points A(-3,2), B(-2,6), and C(2,7), find the fourth point D, that will make this figure a rhombus.