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

Warm-Up: Review What You Know

These problems review formulas you will need for coordinate geometry proofs.

What is the midpoint of the segment with endpoints $(0, 0)$ and $(a, b)$ ?

$(a, b)$

$\left(\dfrac{a}{2}, \dfrac{b}{2}\right)$

$\left(\dfrac{a}{2}, b\right)$

$(2a, 2b)$