Free Printable HW 1-6

1.

Use the Pythagorean Theorem to find the length of the hypotenuse of the triangle.

a)

10

b)

14

c)

48

d)

100

2.

What is the distance from M(9, -4) to N(-1, -2)?

a)

$\sqrt{10}$

b)

10

c)

$2\sqrt{26}$

d)

12

3.

What is the distance from V to W?

a)

17 cm

b)

23 cm

c)

120 cm

d)

289 cm

4.

Given $\overline{GH}$ with endpoints G(-7, 3) and H(7, -11), what are the coordinates of the midpoint of $\overline{GH}$ ?

a)

(0, -4)

b)

(0, -8)

c)

(-7, 7)

d)

(-14, 14)

5.

M is the midpoint of $\overline{RS}$ . R has coordinates (-2, 10), and M has coordinates (3, 5). What are the coordinates of S?

a)

(1, 15)

b)

(0.5, 7.5)

c)

(8, 0)

d)

(5, -5)

6.

The coordinates of the endpoints of a segment are A(-2, 3) and B(2, 1). Find the coordinates for the endpoints of the image of $\overline{AB}$ after the translation $\left(x,y\right)\rightarrow\left(x+3,\ y-2\right)$ .

a)

A'(5, -1), B'(5, 1)

b)

A'(1, 1), B'(5, -1)

c)

A'(5, 1), B'(5, 1)

d)

A'(-4, 6), B'(0, 4)

7.

M is the midpoint of $\overline{RS}$ and M has coordinates (2, 6). R has coordinates (-10, 6). Find the coordinates of S.

a)

(-22, 6)

b)

(-4, 6)

c)

(-6, 6)

d)

(14, 6)

8.

What is the length of a rectangle if the perimeter is 88 inches and the length is 2 inches more than the width?

a)

21 in.

b)

23 in.

c)

25 in.

d)

42 in.

9.

Find the length of the given segments and determine if they are congruent.

a)

All segments are congruent and have length of $\sqrt{20}$ .

b)

DE = $\sqrt{20}$ , FG = $\sqrt{29}$ , RS = $\sqrt{20}$ and DE $\cong$ RS

c)

DE = $\sqrt{20}$ , FG = $\sqrt{20}$ , RS = $\sqrt{29}$ and DE $\cong$ FG

d)

DE = $\sqrt{29}$ , FG = $\sqrt{8}$ , RS = $\sqrt{37}$ and No segments are congruent.

10.

The plan for a rectangular living room shows electrical wiring will be run in a straight line from the entrance E to a light L at the opposite corner of the room. What is the length of the wire to the nearest tenth?

a)

27.2

b)

38

c)

15.1

d)

22.6

11.

Find $\overline{KL}$ .

a)

6

b)

15

c)

20

d)

26

12.

Which equation correctly represents the figure?

a)

JK + KL = 12

b)

IJ + JK = 49

c)

IJ + JK + KL = 31

d)

IJ + JK + KL = 49

13.

Find $\overline{IK}$ .

a)

18

b)

20

c)

30

d)

3

14.

What is the ratio of IJ : JK? Choose ALL that apply.

a)

3 : 2

b)

6 : 9

c)

18 : 12

d)

12 : 19

15.

Points A, P, and B are collinear with A(-5, 4) and B(7,-4). Find the coordinates of P so that P partitions $\overline{AB}$ into a ratio of 1:3.

a)

( $\frac{1}{2}$ , 0)

b)

(-2, 0)

c)

(-2, 2)

d)

(4, -2)

16.

Points A has coordinates (2, 4). Point B has coordinates (12, 24). Find the coordinates of point P that partitions $\overline{AB}$ into the ratio 3:2.

a)

(10, 19)

b)

(8, 16)

c)

(12, 18)

d)

(9, 12)

17.

Points C, D, and E are collinear on $\overline{CE}$ and $\overline{CD}=3$ while $\overline{CE}=8$ . C is located at (1, 8), D is located at (4, 5), and E is located at (x, y). What are the values of x and y?

a)

(6.3, -3.3)

b)

(6, 9)

c)

(12, 13)

d)

(9, 0)

18.

Points P, Q, and R are collinear. The ratio of PQ to PR is $\frac{2}{3}$ . Point P is located at the origin, Q is located at (x, y) and R is located at (-12, 0). What are the coordinates for point Q?

a)

(-8, 0)

b)

(-6, 0)

c)

(-10, 0)

d)

(-2, 0)

19.

Find point R that partitions $\overline{PQ}$ into a 1:1 ratio.

a)

(3.5, 4.5)

b)

(4, 4)

c)

(4.5, 3.5)

d)

(3, 3)

20.

The map shows a straight highway between the two towns of Ashton and Bedford imposed on a coordinate plane. Highway planners want to build two rest stops between the two towns so that the two rest stops divide the highway into three equal parts. What are the coordinates of the points where the rest stops should be located?

a)

$\left(\frac{-3}{2},\ \frac{-3}{4}\right)$ and $\left(\frac{3}{2},\ \frac{7}{4}\right)$

b)

$\left(-1,\ 0\right)$ and $\left(1,\ \frac{3}{2}\right)$

c)

$\left(1,1\right)$ and $\left(-1,\ 0\right)$

d)

$\left(-1,\ \frac{-1}{3}\right)$ and $\left(1,\ \frac{4}{3}\right)$

HW 1-6

Total questions: 20

Worksheet time: 5hrs 0mins

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