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Common Core Standard 8.G.B.6 Questions

Explain a proof of the Pythagorean Theorem and its converse.

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None Social Sciences CCSS: 8.G.B.6
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.6
For the right triangle shown: BC2=AB2+AC2

Which equation is equivalent to the above equation?

Right Triangle ABC v1
  1. BC=AB+AC
  2. AB2=BC2-AC2
  3. AC2=BC2+AB2
  4. AB2=BC2+AC2
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.6
Write the letter "D" at the point where the altitude meets line AC.

Given: Triangle ABC is a right triangle; B is a right angle; line BD is perpendicular to AC

Which reason explains the following relationships?

ACBC=BCDC;ACAB=ABAD

Acute Triangle Height v3
  1. though a point outside a line, there is exactly one line perpendicular to the given line
  2. given the altitude of a right triangle, the legs are the geometric mean of the hypotenuse and the segment of the hypotenuse that is adjacent to the leg
  3. when the hypotenuse and a leg of a right triangle are congruent to corresponding parts of another right triangle, the triangles are congruent
  4. the sum of the side lengths of any two sides of a triangle are greater then the length of the third side
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.6
Which of the following is a way to state the Pythagorean Theorem?
  1. leg2-hypotenuse2=leg2
  2. leg2+hypotenuse2=leg2
  3. leg2-leg2=hypotenuse2
  4. leg2+leg2=hypotenuse2
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.6
Which correctly states the Pythagorean Theorem for the triangle shown?
Right Triangle ABC v3
  1. AC2+BC2=AB2
  2. AB2+BC2=AC2
  3. AC2+AB2=BC2
  4. none of the above
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.6

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