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L 26 Refine & Study Guide

Total questions: 32

Worksheet time: 27mins

Name
Class
Date
1.

Suppose you have a triangle with side lengths x, y, and z, where x2+y2=z2x^2+y^2=z^2  . Which side is the leg (s)?

a)

x

b)

y

c)

z

2.

Suppose you have a triangle with side lengths x, y, and z, where x2+y2=z2x^2+y^2=z^2  . Which side is the hypotenuse(s)?

a)

x

b)

y

c)

z

3.

Suppose you have a triangle with side lengths x, y, and z, where x2+y2=z2x^2+y^2=z^2  . Which side is the longest?

a)

x

b)

y

c)

z

4.

Ty-Geenea uses the Pythagorean Theorem to write the equation 2k2=j22k^2=j^2  for the triangle shown. Is she correct?

a)

yes

b)

no

5.

Explain why Ty-Geenea is correct in in using the Pythagorean Theorem to write the equation for the triangle shown as 2k2=j22k^2=j^2  

4 lines
6.

What is the hypotenuse?

a)

6.2

b)

5.4

c)

8.2

7.

What's the hypotenuse?

a)

10

b)

8

c)

12.8

8.

What's the hypotenuse?

a)

9

b)

10.2

c)

5

9.

Which leg is the hypotenuse?

a)

19.2

b)

12

c)

15

10.

How do you know what leg is the hypotenuse?

a)

It's the left leg

b)

It's the right leg

c)

It's the longest leg

11.

The hypotenuse is the

a)

shortest leg

b)

bottom leg

c)

top leg

d)

longest leg

12.

The hypotenuse is the leg

a)

at the bottom of the triangle

b)

across from the right angle

c)

I have no idea

13.

Which is the hypotenuse?

a)

9

b)

11

c)

14.2

14.

What is the hypotenuse?

a)

8.2

b)

2

c)

5

15.

What is always true about the hypotenuse?

a)

Is the shortest side of the triangle.

b)

Is the height of the triangle.

c)

Is labeled as b.

d)

Is the longest side of the triangle.

16.

Which is the formula used for the Pythagorean Theorem?

a)

a2+b2+c2

b)

a+b=c

c)

a2+c2=b2

d)

a2+b2=c2

17.

If the side lengths of a right triangle are 7, 25, and 24, which side is the hypotenuse?

a)

7

b)

25

c)

24

d)

none of the these

18.

If the sides of a right triangle are 40, 50, and 30, which sides are the legs?

a)

40 and 50

b)

50 and 30

c)

40 and 30

d)

30, 40, and 50

19.

a=3, b=4, and c=5

Is this a right triangle?

a)

yes

b)

no

20.

A right tringle with leg lengths of 5 and 12 has a hypotenuse of what length?

a)

25

b)

17

c)

169

d)

13

21.

Tylen sketches a right triangle with side lengths, p, q, and r as shown. He uses the Pythagorean Theorem to write the equation p2+q2=r2p^2+q^2=r^2  to represent the triangle. What mistake did Tylen make?

4 lines
22.
To which shape(s) does the Pythagorean theorem apply?
a)
All triangles
b)
Right triangles only
c)
Some right triangles and some isosceles triangles 
d)
Right triangles and circles.
23.
The longest side of a right triangle is called the...
a)
leg A
b)
leg B
c)
hypotenuse
d)
right angle
24.

When do we use the Pythagorean Theorem?

a)

To find a missing angle in a right triangle

b)

To find the missing length of a right triangle

c)

To find the area of a right triangle

d)

To find the slope of a right triangle

25.

On your own paper, write an equation using the Pythagorean Theorem and solve for x.

a)

x = 15

b)

x = 7.9

c)

x = 21

d)

x = 225

26.

How much is 42?

a)

-4

b)

8

c)

9

d)

16

27.

How much is 32 + 42?

a)

14

b)

72

c)

25

d)

74

28.

In the given triangle, which side is the hypotenuse?

a)

14

b)

8

c)

x

d)

not enough information

29.

In the given triangle, which side is the hypotenuse?

a)

13

b)

23

c)

x

d)

not enough information

30.

The Pythagorean Theorem is _________

a)

a + b = c

b)

a2 + b2 = c2

c)

a2 + b2 + c2

d)

A = LW

31.

In the given triangle, which side is the leg?

a)

13

b)

23

c)

x

d)

not enough information

32.

In the given triangle, which side is the leg?

a)

14

b)

8

c)

x

d)

not enough information