Pythagorean Theorem and Converse Practice

Pythagorean Theorem & Its Converse

The Converse of Pythagorean Theroem

Multiple Choice

The Pythagorean Theorem ONLY works on which triangle?

• obtuse

• scalene

• isosceles

• right

Multiple Choice

What side(s) will always be the longest on a right triangle?

• The Hypotenuse

• Leg A

• Leg B

• The Right Angle

Multiple Select

What side(s) will always be the shortest on a right triangle?

Select all that apply

• The Hypotenuse

• Leg A

• Leg B

• The Right Angle

Multiple Choice

The legs form what type of angle?

• Acute
• Obtuse
• Reflex
• Right

Multiple Choice

What is the relationship between the sides in the Pythagorean Theorem shown?

Hint: Think about when the hypotenuse is missing!

• a + b = c

• a² + b² = c²

• a² – b² = c²

• a – b = c

Multiple Choice

Do three squares with side lengths of 6, 12, and 13 form a right triangle?

• Yes
• No

Multiple Choice

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

• Yes
• No

Multiple Choice

Do these 3 side lengths form a right triangle?
13, 80, and 81?

• yes
• no

Multiple Choice

If the sides of a triangle are 7, 24, and 25, is it a right triangle?

• yes
• no

Multiple Choice

a = 2.1, b = 7.2,
c = 7.5
Is this a right triangle?

• yes 
• no

Multiple Choice

Isabella has sticks that are 10cm, 11cm, and 13cm long.  Can she place the sticks together to form a right triangle?  Justify your answer.

• No, because 10+11 does not equal 13
• No, because 100+121 does not equal 169
• Yes, because there is a small side, medium side and long side
• Yes, because a triangle has 3 sides

Multiple Choice

_{^{Find the missing side}}

• 9
• 41
• 6.4
• 6.2

Multiple Choice

Does the set of numbers represent a right triangle?

20, 25, 15

• Yes

• No

Multiple Choice

Find the length of the missing side. 

• 25 cm
• 42 cm
• 52 cm
• 48 cm

Multiple Choice

Find the length of the missing side. 

• 20 in.
• 68 in.
• 16 in.
• 80 in.

Multiple Choice

Which set of sides would make a right triangle?

• 4,5,6
• 8,10,12
• 5,12,13
• 5,10,12

Multiple Choice

you ADD a² and c² then take the square root to find b on a right triangle.

• true
• false

Multiple Choice

you ADD a² and b² then take the square root to find c on a right triangle.

• true
• false

Multiple Choice

a² + b² = c^{2
a = 9 b = 40}

• c = 41
• c = 65
• c = 25
• c = 5

Multiple Choice

Find the perimeter of a triangle that has legs that are 3 cm and 4 cm. 

• 5
• 7
• 10
• 12

Multiple Choice

We are given one of the sides and the hypotenuse.

Find the length of the missing side length.

(Hint: distance from the wall to the bottom of the ladder)

• 7

• 5

• 11

• 25