Distance Formula Mastery

A Grade 12 math worksheet focusing on applying the distance formula in various geometric contexts, including finding distances between points, determining perimeter, and identifying properties of geometric figures.

Grade 12 Math GeometryDistance Formula

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Includes

3 Short AnswerMultiple ChoiceFill in the BlanksTrue / False

Standards

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

8 sections · Free to use · Printable

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Distance Formula Mastery

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Read each question carefully and show all your work. Use the distance formula to solve the problems.

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

2. A quadrilateral has vertices at P(1, 2), Q(5, 2), R(5, 5), and S(1, 5). Calculate the perimeter of the quadrilateral.

3. Which type of triangle has vertices at (0,0), (4,0), and (2,2√3)?

Scalene

Isosceles

Equilateral

Right-angled

4. The distance between the points (x, 5) and (3, 10) is 13. Find the possible value(s) of x. The possible value(s) of x are .

5. Determine if the points A(-1, 3), B(2, -2), and C(5, -7) are collinear using the distance formula.

6. The distance formula is derived from the Pythagorean theorem.

True

False