Which of the following sentences would belong in the proof that describes this image?

The sum of the areas of the two smaller squares is equal to the area of the large square.

The sum of the side lengths of the two smaller squares is equal to the side length of the large square.

The difference of the areas of the two smaller squares is equal to the area of the large square.

The differences of the side lengths of the two smaller squares is equal to the side length of the large square.

How do we get from figure 4-A (left) to figure 4-B (right)?

Rearranging the shaded triangles within the figure

Staring at the figure until I lose focus

Select all that are true about the proof represented by this picture (click image if needed to see it full size).

The figures overall have the same area.

The non-shaded space represents the same area.

$$c^2=a^2+b^2$$ The area of the non-shaded space in figure 4-A (left) is equal to the total area of the non-shaded space in figure 4-B (right).

The shaded triangles changed size.

$$c^2=b^2-a^2$$ The area of the non-shaded space in figure 4-A (left) is equal to the difference of the areas of the non-shaded spaces in figure 4-B (right).

Megan was trying to find the missing side of the right triangle. Which of the following choices best describes her mistake?

She should have subtracted 5 2 from 13 2 .

She should have added 5 and 13 to get 18.

She should have subtracted 13 and 5 to get 8.

She should have multiplied 5 2 and 13 2 .

Pythagorean Theorem Proof

Quiz

•

Mathematics

•

8th Grade

•

Practice Problem

•

Hard

•

CCSS

8.G.B.8, 8.G.B.7

Standards-aligned

Anthony Clark

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which equation is modeled by the picture shown?

3²+5²=4²

3²+4²=5²

5²+4²=3²

9²+16²=25²

Tags

CCSS.8.G.B.8

2.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

If the area of the blue square is 25 in² and the area of the green square is 169 in², what is the area of the yellow square?

12 in²

144 in²

194 in²

13.9 in²

Tags

CCSS.8.G.B.8

3.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

A model of the Pythagorean Theorem is shown. Which statement is true?

If you add the areas of regions R and P they will add to the area of region Q

If you add areas of regions R and Q they will add to the area of region P

If you subtract the areas of regions Q and R they will make the area of region P

Tags

CCSS.8.G.B.8

4.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

What is the area of the third square?

6.7 cm²

33.5 cm²

2025 cm²

45 cm²

Tags

CCSS.8.G.B.8

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A 10-foot ladder is leaning against the wall. The bottom of the ladder is 4 feet from the base of the wall. Which of the following is closest to the distance from the top of the ladder to the base of the wall?

9ft

11ft

6ft

14ft

Tags

CCSS.8.G.B.8

6.

MATH RESPONSE QUESTION

1 min • 3 pts

Find the value of x. Round your answer to the nearest tenth.

Mathematical Equivalence

ON

Tags

CCSS.8.G.B.7

7.

MATH RESPONSE QUESTION

1 min • 1 pt

Find the value of x.

Mathematical Equivalence

ON

Tags

CCSS.8.G.B.7

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Pythagorean Theorem Proof

20 questions

Which equation is modeled by the picture shown?

If the area of the blue square is 25 in² and the area of the green square is 169 in², what is the area of the yellow square?

A model of the Pythagorean Theorem is shown. Which statement is true?

What is the area of the third square?

A 10-foot ladder is leaning against the wall. The bottom of the ladder is 4 feet from the base of the wall. Which of the following is closest to the distance from the top of the ladder to the base of the wall?

Find the value of x. Round your answer to the nearest tenth.

Find the value of x.

What is the length of the hypotenuse?

Is this triangle a right triangle? (Picture not drawn to scale)

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Pythagorean Theorem Proof

20 questions

Which equation is modeled by the picture shown?

If the area of the blue square is 25 in2 and the area of the green square is 169 in2, what is the area of the yellow square?

A model of the Pythagorean Theorem is shown. Which statement is true?

What is the area of the third square?

A 10-foot ladder is leaning against the wall. The bottom of the ladder is 4 feet from the base of the wall. Which of the following is closest to the distance from the top of the ladder to the base of the wall?

Find the value of x. Round your answer to the nearest tenth.

Find the value of x.

What is the length of the hypotenuse?

Is this triangle a right triangle? (Picture not drawn to scale)

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

If the area of the blue square is 25 in² and the area of the green square is 169 in², what is the area of the yellow square?