Quiz about Pythagorean Theorem and Transformations

Question 1

Find the length of the missing side.

Accepted Answer

13 cm

Answer

17 cm

Answer

22 cm

Answer

15 cm

Question 2

Find the length of the missing side.

Accepted Answer

52 cm

Answer

25 cm

Answer

42 cm

Answer

48 cm

Question 3

Find the length of the missing side.

Accepted Answer

80 in.

Answer

20 in.

Answer

68 in.

Answer

16 in.

Question 4

Find the length of the missing side.

Accepted Answer

48 in.

Answer

52 in.

Answer

16 in.

Answer

24 in.

Question 5

_{^{Find the missing side}}

Accepted Answer

72

Answer

48

Answer

108

Answer

83.6

Question 6

_{^{Find the missing side}}

Accepted Answer

6.4

Answer

9

Answer

41

Answer

3

Question 7

Which set of sides would make a right triangle?

Accepted Answer

5,12,13

Answer

4,5,6

Answer

8,10,12

Answer

5,10,12

Question 8

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?

Accepted Answer

40 miles

Answer

17 miles

Answer

32 miles

Answer

37 miles

Question 9

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?

Accepted Answer

27 feet

Answer

25 feet

Answer

26 feet

Answer

28 feet

Question 10

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

Accepted Answer

111.8 yards

Answer

115 yards

Answer

127.3 yards

Answer

119 yards

Question 11

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?

Accepted Answer

10

Answer

14

Answer

5.3

Answer

2

Question 12

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?

Accepted Answer

13.6 in

Answer

7.5 in

Answer

12.4 in

Answer

14.3 in

Question 13

Question 13.

Accepted Answer

9.2 in

Answer

11 in

Answer

13 in

Answer

9.6 in

Question 14

The Pythagorean Theorem ONLY works on which triangle?

Accepted Answer

right

Answer

obtuse

Answer

scalene

Answer

isosceles

Question 15

The legs form what type of angle?

Accepted Answer

Right

Answer

Acute

Answer

Obtuse

Answer

Reflex

Question 16

Determine where X' would be if you translated X 3 units to the left and 9 units down.

Accepted Answer

(-4, -5)

Answer

(-4, 4)

Answer

(-10, 2)

Answer

(-1, 5)

Question 17

How is triangle ABC being translated to triangle A'B'C'?

Accepted Answer

down 9, right 4

Answer

up 3, left 8

Answer

up 9, left 4

Answer

down 3, right 8

Question 18

What is a reflection?

Accepted Answer

When you flip or mirror an object across a line.

Answer

When you turn an object around a point.

Answer

When you slide an object form one place to another.

Answer

When you resize an object.

Question 19

Reflecting over the y-axis changes the ____-_____________.

Accepted Answer

x-coordinate

Answer

x-axis

Answer

y-coordinate

Answer

none of the above

Question 20

A type of transformation where a geometric figure slides horizontally, vertically, or both. What type of transformation is this?

Accepted Answer

translation

Answer

dilation

Answer

rotation

Answer

reflection

Question 21

Reflections over the x-axis change the ____-__________.

Accepted Answer

y-coordinate

Answer

x-coordinate

Answer

y-axis

Answer

x-axis

Question 22

Triangle GHI is reflected across the x-axis.  What are the coordinates of I'?

Accepted Answer

(6, 2)

Answer

(-2, 6)

Answer

(2, 6)

Answer

(-6, -2)

Question 23

Translate the point A (-3, 4) right 5 and up 1

Accepted Answer

(2, 5)

Answer

(-2, 9)

Answer

(-8, 5)

Answer

(8, 3)

Question 24

Translation are always _______

Accepted Answer

Congruent

Answer

Bigger

Answer

Smaller

Answer

Rotated

Question 25

The point that is to be transformed is called the:

Accepted Answer

Pre-Image

Answer

Image

Answer

Post-Image

Answer

Transformation

Question 26

After being transformed the new point is called a(n):

Accepted Answer

Image

Answer

Pre-Image

Answer

Post Image

Answer

Transformed

Question 27

Reflect (6, -3) over the line x-axis.

Accepted Answer

(6, 3)

Answer

(-6, -3)

Answer

(-3, 6)

Answer

(3, -6)

Question 28

Reflect the point (2, -4) over the y-axis.

Accepted Answer

(-2, -4)

Answer

(-4, 2)

Answer

(-2, 4)

Answer

(2, 4)

Question 29

A dilation with a scale factor of 1/3 is a reduction.

Accepted Answer

True

Answer

False

Question 30

A dilation with a scale factor of 2 is a reduction.

Accepted Answer

False

Answer

True

Question 31

A(-2, 2) and B(3, 2)
Dilate k = 2

Accepted Answer

A' (-4, 4), B' (6, 4)

Answer

A' (-2, 2), B' (3, 2)

Answer

A' (2, -2), B' (-3, -2)

Answer

A' (2, -2), B' (2, 3)

Question 32

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)

Accepted Answer

A'(9,9) B'(18,18) C'(27,9)

Answer

A'(6,6) B'(9,9) C'(12,6)

Answer

A'(0,0) B'(3,3) C'(6,0)

Answer

A'(1,1) B'(2,2) C'(3,1)

Question 33

State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.

Accepted Answer

(-5,-3)

Answer

(5,3)

Answer

(20,12)

Answer

(-20,-12)

Question 34

Choose the correct scale factor:

Accepted Answer

2

Answer

3

Answer

1/3

Answer

1/2

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