Pythagorean Theorem Proof & Converse

Which equation is modeled by the picture shown?

• 3²+5²=4²
• 3²+4²=5²
• 5²+4²=3²
• 9²+16²=25²

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

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

• yes
• no

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Which set of sides would make a right triangle?

• 4,5,6
• 8,10,12
• 5,12,13
• 5,10,12

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.8

What is the longest side of a right triangle called?

• Leg A
• Leg B
• Hypotenuse
• Pythagoras' Big Buddy

Tags

CCSS.HSG.SRT.C.8

Which set of side lengths does not form a right triangle?

• 38, 80, 90
• 16, 63, 65
• 36, 77, 85
• 14, 15, 29

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Side c on a right triangle is ALWAYS the longest.

• true

• false

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

What is the area of the third square?

• 6.7 cm²
• 33.5 cm²
• 2025 cm²
• 45 cm²

Tags

CCSS.HSG.GMD.A.1

CCSS.HSG.MG.A.1

What is the length of the hypotenuse?

• 33.5 cm
• 45 cm
• 6.7 cm
• 15 cm

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.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

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.HSG.SRT.C.6

CCSS.HSG.SRT.C.8