Back to Tutor Intake Assessment: Apply the Pythagorean Theorem to find the distance between two points in a coordinate system

8.G.B.8 Tutor Intake -- Coordinate Distance via the Pythagorean Theorem

This short check helps your tutor see where to start. Work on your own,
with a calculator for square roots if needed. Do your best -- the goal
is to find what to work on together, not to grade you.

Grade 8·5 problems·~7 min·Common Core Math - Grade 8·container·8-g-b-8

Work through problems with immediate feedback

Concepts

Points A(0, 0) and B(1, 1) are one diagonal grid square apart.
What is the actual straight-line distance from A to B?

sqrt(2), approximately 1.41 (not 1)

1, since it crosses exactly one grid square

2, since you move 1 right and 1 up

0, since the points are close together

Procedures

Points C(-3, 1) and D(2, -4) are given. What is the length of the
horizontal leg of the right triangle connecting them? Enter a
number.

Points P(0, 0) and Q(6, 8) are given. What is the straight-line
distance between them? Enter a number.

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