8th Grade Pythagorean Theorem

8th Grade Pythagorean Theorem

8th Grade

15 Qs

quiz-placeholder

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8th Grade Pythagorean Theorem

8th Grade Pythagorean Theorem

Assessment

Quiz

Mathematics

8th Grade

Practice Problem

Medium

CCSS
8.G.B.8, 8.G.B.7, HSG.GPE.B.7

Standards-aligned

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the relationship between the sides of a right triangle?

The square of the hypotenuse is equal to the sum of the squares of the other two sides.

The sum of the lengths of the two shorter sides is equal to the length of the hypotenuse.

The product of the lengths of the two shorter sides is equal to the length of the hypotenuse.

The length of the hypotenuse is always greater than the sum of the other two sides.

Tags

CCSS.8.G.B.8

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

If a right triangle has a hypotenuse of 13 and one leg of 5, what is the length of the other leg?

10

11

12

14

Tags

CCSS.8.G.B.7

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

How can you determine if three lengths can form a right triangle?

Check if a² + b² = c² holds true for the lengths.

Ensure that the sum of the two shorter lengths is greater than the longest length.

Verify that all three lengths are equal.

Calculate the area of the triangle formed by the lengths.

Tags

CCSS.8.G.B.8

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the distance formula derived from the Pythagorean Theorem?

Distance = √((x2 - x1)² + (y2 - y1)²)

Distance = (x2 - x1) + (y2 - y1)

Distance = √((x2 + x1)² + (y2 + y1)²)

Distance = |x2 - x1| + |y2 - y1|

Tags

CCSS.HSG.GPE.B.7

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

If the lengths of the legs of a triangle are 15 and 12, what is the length of the hypotenuse?

15

18

20

22

Tags

CCSS.8.G.B.7

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Do the segment lengths 15, 12, and 9 form a right triangle?

Yes, they satisfy the Pythagorean Theorem.

No, they do not satisfy the Pythagorean Theorem.

Only two of the segments can form a right triangle.

The segments can form an obtuse triangle.

Tags

CCSS.8.G.B.8

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What are the legs of a right triangle called?

Sides a and b

Hypotenuse

Base and height

Opposite and adjacent

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