Coordinate Algebra Unit 6 – Connecting Algebra Through Geometry in the Coordinate PlaneNotes - Day 63

Name: ______Date: ______

Pythagorean Theorem & the Distance Formula

Pythagorean Theorem

Use the Pythagorean Theorem to find the length of each hypotenuse:

Coordinate Algebra Unit 6 – Connecting Algebra Through Geometry in the Coordinate PlaneNotes - Day 63

Coordinate Algebra Unit 6 – Connecting Algebra Through Geometry in the Coordinate PlaneNotes - Day 63

Coordinate Algebra Unit 6 – Connecting Algebra Through Geometry in the Coordinate PlaneNotes - Day 63

Use the Pythagorean Theorem to find the missing side:

Coordinate Algebra Unit 6 – Connecting Algebra Through Geometry in the Coordinate PlaneNotes - Day 63


Coordinate Algebra Unit 6 – Connecting Algebra Through Geometry in the Coordinate PlaneNotes - Day 63

Coordinate Algebra Unit 6 – Connecting Algebra Through Geometry in the Coordinate PlaneNotes - Day 63

Use the Pythagorean Theorem to find the distance between each pair of points.

Coordinate Algebra Unit 6 – Connecting Algebra Through Geometry in the Coordinate PlaneNotes - Day 63

Coordinate Algebra Unit 6 – Connecting Algebra Through Geometry in the Coordinate PlaneNotes - Day 63

Distance Formula

Distance between two points:

  1. Write the distance formula
  2. Substitute
  3. Simplify
  4. Evaluate powers
  5. Add
  6. Use a calculator

Use the distance formula to find the distancebetween each set of points:

Coordinate Algebra Unit 6 – Connecting Algebra Through Geometry in the Coordinate PlaneNotes - Day 63

  1. (1, 4) and (-2, 3)
  2. (10, 5) and (40, 45)

Coordinate Algebra Unit 6 – Connecting Algebra Through Geometry in the Coordinate PlaneNotes - Day 63

Find the distance between the points on each graph. Round to the nearest tenth.

Coordinate Algebra Unit 6 – Connecting Algebra Through Geometry in the Coordinate PlaneNotes - Day 63

Coordinate Algebra Unit 6 – Connecting Algebra Through Geometry in the Coordinate PlaneNotes - Day 63

Coordinate Algebra Unit 6 – Connecting Algebra Through Geometry in the Coordinate PlaneNotes - Day 63