Share/Like This Page

Common Core Standard 8.G.B.6 Questions

Explain a proof of the Pythagorean Theorem and its converse.

You can create printable tests and worksheets from these questions on Common Core standard 8.G.B.6! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

Grade 8 Triangles CCSS: 8.G.B.6
For the right triangle below: [math]BC^2 = AB^2 + AC^2 [/math]

Which equation is equivalent to the above equation?

Right Triangle ABC v1
  1. [math]BC = AB + AC [/math]
  2. [math]AB^2 = BC^2 - AC^2[/math]
  3. [math]AC^2 = BC^2 + AB^2 [/math]
  4. [math]AB^2 = BC^2 + AC^2 [/math]
Grade 8 Triangles 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; [math]angB[/math] is a right angle; line BD is perpendicular to AC

Which reason explains the following:

[math](AC)/(BC) = (BC)/(DC); (AC)/(AB)=(AB)/(AD)[/math]

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 Triangles CCSS: 8.G.B.6
Which of the following is a way to state the Pythagorean Theorem?
  1. [math]l eg^2 - hypoten use^2 = l eg^2[/math]
  2. [math]l eg^2 + hypoten use^2 = l eg^2[/math]
  3. [math]l eg^2 - l eg^2 = hypoten use^2[/math]
  4. [math]l eg^2 + l eg^2 = hypoten use^2[/math]
Grade 8 Triangles CCSS: 8.G.B.6
Which correctly states the Pythagorean Theorem for the triangle shown?
Right Triangle ABC v3
  1. [math]AC^2 + BC^2 = AB^2[/math]
  2. [math]AB^2 + BC^2 = AC^2[/math]
  3. [math]AC^2 + AB^2 = BC^2[/math]
  4. none of the above
Grade 8 Triangles CCSS: 8.G.B.6

Become a Pro subscriber to access Common Core questions

Unlimited premium printables Unlimited online testing Unlimited custom tests

Learn More About Benefits and Options

You need to have at least 5 reputation to vote a question down. Learn How To Earn Badges.