Pythagorean Theorem and Space Figures

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 shaded triangles changed size.

• The non-shaded space represents the same area.

Tags

CCSS.8.G.B.8

Why is the Pythagorean Theorem important?

• It isn't

• Because my teacher said so

• It is a basis for construction and triangulating GPS coordinates, among other things

• Because I like triangles

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

Solve for the length indicated.

• 1

• 2

• 3

• 4

Tags

CCSS.HSG.CO.C.9

Find the length of the missing side. 

• 48 in.

• 52 in.

• 16 in.

• 24 in.

Tags

CCSS.8.G.B.7

Solve for the variable x.

• x = 7.2

• x = 9

• x = 12

• x = 9.6

Find the value of x.

Mathematical Equivalence

ON

Tags

CCSS.8.G.B.7

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

Mathematical Equivalence

ON

Tags

CCSS.8.G.B.8

Find the missing length indicated. Leave your answer in simplest radical form.

• 64

• 12

• 9

• 100

Tags

CCSS.HSG.CO.C.9

Solve for the length indicated.

• 9

• 10

• 11

• 12

Tags

CCSS.HSG.CO.C.9