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Back to Use coordinates to prove theorems — Problem 3 · Task Set 31

Exercises: Use Coordinates to Prove Simple Geometric Theorems Algebraically

Work through each section in order. Show all formulas and computations.

Grade 10·21 problems·~30 min·Common Core Math - HS Geometry·standard·hsg-gpe-b-4
Work through problems with immediate feedback
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Fluency Practice

Use the distance and slope formulas to answer each question. Show your computations.

Coordinate grid showing quadrilateral PQRS with vertices P(-3,-1), Q(1,-1), R(3,3), S(-1,3)
1.

Consider the four points P(−3,−1)P(-3, -1), Q(1,−1)Q(1, -1), R(3,3)R(3, 3), S(−1,3)S(-1, 3).
How many pairs of opposite sides have equal slopes? Enter a whole number.