Pre-Algebra-Ch. 7.5 Using the Pythagorean Theorem - Page 322-323

Problem #6

Tell whether the triangle with the given side lengths is a right triangle.

• yes

• no

• yes

• no

• yes
• no

Problem #12

Find the distance between the two points.

(4, -5), (-1, 7)

Mathematical Equivalence

ON

Problem #14

Find the distance between the two points.

(-1, -3), (1, 3)

Mathematical Equivalence

ON

Problem #16

Find the distance between the two points.

(12, 5), (-12, -2)

Problem #18

CONSTRUCTION: A post and beam frame for a shed is shown in the diagram. Does the brace form a right triangle with the post and beam?

• yes

• no

Problem #18

CONSTRUCTION: A post and beam frame for a shed is shown in the diagram. Does the brace form a right triangle with the post and beam? Explain.

• The side lengths satisfy the converse of the Pythagorean Theorem.

• The side lengths do not satisfy the converse of the Pythagorean Theorem.

• yes

• no

Problem #22

REASONING: Plot the points (-1, 3), (4, -2), and (1, -5) in a coordinate plane.