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WorksheetsPythagorean Theorem Wrap-Up
Total questions: 40
Worksheet time: 1hrs 6mins
Name
Class
Date
1.
What's the distance between (-11,4) and (4,4)?
a)
-15
b)
15
c)
7
d)
-7
2.
What's the distance between (-3,4) and (-3, -10)?
a)
14
b)
-14
c)
6
d)
-6
3.
What's the distance between (0,0) and (3,4)
a)
7
b)
49
c)
5
d)
25
4.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
5.
Find the distance.
a)
7.1
b)
7.8
c)
8.7
d)
8.9
6.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
7.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
8.
Find the distance between J and K.
a)
8.2
b)
7.7
c)
9
d)
10.2
9.
Do three squares with side lengths of 6, 12, and 13 form a right triangle?
a)
Yes
b)
No
10.
Isabella has sticks that are 10cm, 11cm, and 13cm long. Can she place the sticks together to form a right triangle? Justify your answer.
a)
No, because 10+11 does not equal 13
b)
No, because 100+121 does not equal 169
c)
Yes, because there is a small side, medium side and long side
d)
Yes, because a triangle has 3 sides
11.
The triangular sail of a toy sailboat is supposed to be a right angle. The manufacturer says the sides of the sail have lengths of 4.5 inches, 6 inches, and 7 inches. Is the sail a right triangle?
a)
No
b)
Yes
12.
Alan made a small four-sided table for his office. The opposite sides of the table are 27 inches long and 36 inches long. If the diagonal of the table measures 40 inches, does the table have right angles at the corners? Why or why not?
a)
Yes, because it's a rectangle and rectangles have 90 degree angles in the corners
b)
Yes, because 27 and 36 are less than 40
c)
No, because 272+362 does not equal 402
d)
No, because 27+36 does not equal 40
13.
Find the missing side
a)
36
b)
76.8
c)
12
d)
40
14.
Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?
a)
14
b)
10
c)
5.3
d)
2
15.
a)
Yes
b)
No
16.
a)
Yes
b)
No
17.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
18.
If three sides of a right triangle are 9, 40, and 41, which side is the hypotenuse?
a)
9
b)
40
c)
41
19.
Name the largest angle in this triangle.
a)
∠D
b)
∠E
c)
∠F
20.
Can the sides of a triangle have lengths 4, 7, and 18?yesnoSubmit
a)
Yes
b)
No
21.
What is a possible third side to a triangle with side lengths of 13 and 4?
a)
9
b)
12
c)
8
d)
5
22.
Does a triangle with these side lengths exist?
15, 12, 9
15, 12, 9
a)
Yes
b)
No
c)
I don't know.
23.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
24.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
25.
Find the length of the missing side.
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
26.
Find the length of the missing side.
a)
48 in.
b)
52 in.
c)
16 in.
d)
24 in.
27.
Which set of sides would make a right triangle?
a)
4,5,6
b)
8,10,12
c)
5,12,13
d)
5,10,12
28.
Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?
a)
17 miles
b)
32 miles
c)
37 miles
d)
40 miles
29.
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?
a)
25 feet
b)
26 feet
c)
27 feet
d)
28 feet
30.
A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?
a)
111.8 yards
b)
115 yards
c)
127.3 yards
d)
119 yards
31.
A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew?
a)
7.5 in
b)
12.4 in
c)
13.6 in
d)
14.3 in
32.
a)
9.2 in
b)
11 in
c)
13 in
d)
9.6 in
33.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
34.
The legs form what type of angle?
a)
Acute
b)
Obtuse
c)
Reflex
d)
Right
35.
What is the longest side of a right triangle called?
a)
Leg A
b)
Leg B
c)
Hypotenuse
d)
Pythagoras' Big Buddy
36.
Find the distance between these two points.
a)
13
b)
7.9
c)
9.2
d)
3.6
37.
In a computer catalog, a computer monitor is listed as being 27 inches. This distance is the diagonal distance across the screen. If the screen measures 15 inches in height, what is the actual width of the screen to the nearest inch?
a)
22 in
b)
23 in
c)
24 in
d)
25 in
38.
What is the value of x in the right triangle shown?
a)
16cm
b)
18cm
c)
24cm
d)
√674cm
39.
a)
22.5 feet
b)
23 feet
c)
25 feet
d)
27.3 feet
40.
Solve for x.
a)
38.9
b)
40.2
c)
45.6
d)
54
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