Proof and Converse of Pythagorean Theorem

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

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

• yes

• no

Tags

CCSS.8.G.B.8

What is the area of the third square?

• 6.7 cm²

• 33.5 cm²

• 2025 cm²

• 45 cm²

Tags

CCSS.8.G.B.8

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

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

Mathematical Equivalence

ON

Tags

CCSS.8.G.B.8

Find the value of x.

Mathematical Equivalence

ON

Tags

CCSS.8.G.B.7

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

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.

Tags

CCSS.8.G.B.8

Which equation will help you find the length of c?

Tags

CCSS.8.G.B.8

Calculate the length of the hypotenuse.

• 23.1 cm

• 30.4 cm

• 41 cm

• 1681 cm

Tags

CCSS.8.G.B.7