Distance Between Two Points - Grade 12 Math

A Grade 12 math worksheet focusing on calculating the distance between two points on a coordinate plane and applying the distance formula to geometric problems.

Grade 12 Math GeometryDistance Between Two Points

Use This Worksheet

Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA.APR.D.6CCSS.MATH.CONTENT.HSG.GPE.B.7

Topics

mathgeometrydistance formulacoordinate planegrade 12

7 sections · Free to use · Printable

← More Math worksheets for Grade 12

Distance Between Two Points

Name:

Date:

Score:

Read each question carefully and provide your answer in the space provided. Show all your work for full credit.

1. Calculate the distance between the points A(3, 7) and B(-2, 1).

2. Find the distance between P(-5, -4) and Q(0, 8).

3. The distance formula is derived from the theorem.

4. If two points have the same x-coordinate, the distance between them is the absolute difference of their .

5. Which of the following points is farthest from the origin (0,0)?

(1, 5)

(-4, 3)

(6, -2)

(-3, -5)

6. A triangle has vertices at A(1, 2), B(4, 2), and C(1, 6). Determine if this is a right-angled triangle using the distance formula.

7. A circle has its center at (2, -3) and passes through the point (5, 1). Find the radius of the circle.

8. The distance between two points is always a non-negative value.

True

False