### Examples

The distance between (-2,7) and (0,6) can be found by creating a right triangle with the vertex of the right angle at the point (-2,6). This gives a height of the right triangle as 1 unit and a base of 2 units. Then using the Pythagorean Theorem the distance can be determined from the equation 1²+2²=c², which is equivalent to 5=c². So, the distance is units.### Clarifications

*Clarification 1:*Instruction includes making connections between distance on the coordinate plane and right triangles.

*Clarification 2: *Within this benchmark, the expectation is to memorize the Pythagorean Theorem. It is not the expectation to use the distance formula.

*Clarification 3:* Radicands are limited to whole numbers up to 225.

**Subject Area:**Mathematics (B.E.S.T.)

**Grade:**8

**Strand:**Geometric Reasoning

**Standard:**Develop an understanding of the Pythagorean Theorem and angle relationships involving triangles.

**Date Adopted or Revised:**08/20

**Status:**State Board Approved

## Related Courses

## Related Access Points

## Related Resources

## Formative Assessments

## Lesson Plan

## Perspectives Video: Professional/Enthusiast

## Text Resource

## MFAS Formative Assessments

Students are asked to determine the length of each side of a right triangle in the coordinate plane given the coordinates of its vertices.

Students are asked to determine the lengths of the sides of a right triangle in the coordinate plane given the coordinates of its vertices.

Students are asked to find the distance between two points in the coordinate plane.

Students are asked to find the distance between two points in the coordinate plane.

## Student Resources

## Perspectives Video: Professional/Enthusiast

Find out how math and technology can help you (try to) get away from civilization.

Download the CPALMS Perspectives video student note taking guide.

Type: Perspectives Video: Professional/Enthusiast

## Parent Resources

## Perspectives Video: Professional/Enthusiast

Find out how math and technology can help you (try to) get away from civilization.

Download the CPALMS Perspectives video student note taking guide.

Type: Perspectives Video: Professional/Enthusiast