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Converse Pythagorean Theorem

Converse Pythagorean Theorem

Assessment

Presentation

Mathematics

6th - 8th Grade

Easy

Created by

Joseph Anderson

Used 1+ times

FREE Resource

4 Slides • 21 Questions

1

Pythagorean Theorem & Its Converse

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2

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3

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4

The Converse of Pythagorean Theroem

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5

Multiple Choice

The Pythagorean Theorem ONLY works on which triangle?

1

obtuse

2

scalene

3

isosceles

4

right

6

Multiple Choice

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

1

The Hypotenuse

2

Leg A

3

Leg B

4

The Right Angle

7

Multiple Select

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


Select all that apply

1

The Hypotenuse

2

Leg A

3

Leg B

4

The Right Angle

8

Multiple Choice

The legs form what type of angle?
1
Acute
2
Obtuse
3
Reflex
4
Right

9

Multiple Choice

Question image

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


Hint: Think about when the hypotenuse is missing!

1

a + b = c

2

a2 + b2 = c2

3

a2 – b2 = c2

4

a – b = c

10

Multiple Choice

Do three squares with side lengths of 6, 12, and 13 form a right triangle?
1
Yes
2
No

11

Multiple Choice

Do the segment lengths 9, 12, and 15 form a right triangle?
1
Yes
2
No

12

Multiple Choice

Do these 3 side lengths form a right triangle?
13, 80, and 81?
1
yes
2
no

13

Multiple Choice

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

1
yes
2
no

14

Multiple Choice

a = 2.1, b = 7.2,
c = 7.5
Is this a right triangle?
1
yes 
2
no

15

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.
1
No, because 10+11 does not equal 13
2
No, because 100+121 does not equal 169
3
Yes, because there is a small side, medium side and long side
4
Yes, because a triangle has 3 sides

16

Multiple Choice

Question image
Find the missing side
1
9
2
41
3
6.4
4
6.2

17

Multiple Choice

Does the set of numbers represent a right triangle?

20, 25, 15

1

Yes

2

No

18

Multiple Choice

Question image
Find the length of the missing side. 
1
25 cm
2
42 cm
3
52 cm
4
48 cm

19

Multiple Choice

Question image
Find the length of the missing side. 
1
20 in.
2
68 in.
3
16 in.
4
80 in.

20

Multiple Choice

Which set of sides would make a right triangle?
1
4,5,6
2
8,10,12
3
5,12,13
4
5,10,12

21

Multiple Choice

you ADD a2 and c2 then take the square root to find b on a right triangle.
1
true
2
false

22

Multiple Choice

you ADD a2 and b2 then take the square root to find c on a right triangle.
1
true
2
false

23

Multiple Choice

a2 + b2 = c2
a = 9 b = 40
1
c = 41
2
c = 65
3
c = 25
4
c = 5

24

Multiple Choice

Find the perimeter of a triangle that has legs that are 3 cm and 4 cm. 
1
5
2
7
3
10
4
12

25

Multiple Choice

Question image

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)

1

7

2

5

3

11

4

25

Pythagorean Theorem & Its Converse

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