Free Printable Review G 2B

1.

Given the graph of $\overline{AB}$ and $\overline{PQ}$ below.

Which formula do you use to verify

\overline{AB}

\cong

\overline{PQ}

a)

Distance formula

b)

Midpoint formula

c)

Slope formula

d)

Quadratic formula

2.

Steven and Marcus are going to meet for the lunch. They decide to meet halfway between their houses.

Which point below best represents where they should meet?

a)

(-1,-3)

b)

(3, -1)

c)

(-1, 3)

d)

(1, 3)

3.

Two explorers on an expedition to the Artic Circle have radioed their coordinates to base camp. Explorer A is at coordinates (7, -4). Explorer B is at coordinates (-3,4). They want to meet halfway between their current location.
Which formula will help them to find the halfway coordintes of their Location?

a)

$\sqrt{\left(-3-7\right)^2+\left(4+4\right)^2}$

b)

$\sqrt{\left(-3+7\right)^2+\left(4-4\right)^2}$

c)

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

d)

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

4.

Use the distance formula to verify the segments have the same length.

a)

b)

c)

d)

5.

What is the slope of a line parallel to line s?

a)

$-\frac{3}{4}$

b)

$\frac{4}{3}$

c)

$-\frac{4}{3}$

d)

$\frac{3}{4}$

6.

What is the slope of a line that is perpendicular to the given line?

a)

$\frac{3}{7}$

b)

$-\frac{7}{3}$

c)

$\frac{7}{3}$

d)

$-\frac{3}{7}$

7.

What is the slope of a line that is perpendicular to the line that passes through the two given points (–5, 7 ) and (–3, 1)?

a)

$\frac{1}{3}$

b)

$-\frac{1}{4}$

c)

$-3$

d)

$-4$

8.

What is the coordinate of the midpoint of the given segment $\overline{PQ}$ ?

a)

$\left(-5,3\right)$

b)

$\left(-6,3\right)$

c)

$\left(-5,2\right)$

d)

$\left(-6,2\right)$

9.

What is the length of $\overline{AB}$ ?

a)

$\sqrt{2}\approx1.41$

b)

$\sqrt{74}\approx8.60$

c)

$\sqrt{50}\approx7.07$

d)

$\sqrt{26}\approx5.09$

10.

$\Delta ABC$ is given in the coordinate plane.

What is the distance between points B (–2, 1) and C ( 4, 2)? Round your answer to the nearest tenth place.

a)

2.2

b)

6.1

c)

6.7

d)

3.6

11.

The midpoint of segment AB is M(-1, 1). One endpoint is A(5, 7). What is the coordinate of the other endpoint B?

a)

$\left(-5,-7\right)$

b)

$\left(-7,-5\right)$

c)

$\left(-4,\ -6\right)$

d)

$\left(7,5\right)$

12.

Which line is parallel to a line that has a slope of $-4$ and y intercept of (0,5).

a)

Line IJ because it has the same y-intercept of $5.$

b)

Line DF because they have opposite reciprocal slope of $\frac{1}{4}$ .

c)

Line HG because they have the same y-intercept of $5$ .

d)

Line AC because the lines have the same slope of $-4$ .

13.

A pre-image point P has coordinates (-8, -2).

What are its new coordinates after using reflection upon the x-axis?

a)

$\left(-8,\ 2\right)$

b)

$\left(-2,\ 8\right)$

c)

$\left(8,\ 2\right)$

d)

$\left(-2,\ -8\right)$

14.

Write the rule that describes the transformation.

a)

$\left(x,\ y\right)\rightarrow\ \left(-x,\ y\right)$

b)

$\left(x,\ y\right)\rightarrow\ \left(x,\ -y\right)$

c)

$\left(x,\ y\right)\rightarrow\ \left(-x,-y\right)$

d)

$\left(x,\ y\right)\rightarrow\ \left(y,\ x\right)$

15.

Which point is the image of (-7, 1) when the rule (x, y) $\rightarrow$ (x + 12, y - 5) is applied?

a)

$\left(5,\ -4\right)$

b)

$\left(-19,-6\right)$

c)

$\left(19,\ -6\right)$

d)

$\left(-5,\ 4\right)$

16.

Write the rule that describes the transformation.

a)

$\left(x,y\right)\rightarrow\left(x+4,\ y-5\right)$

b)

$\left(x,y\right)\rightarrow\left(x-5,\ y+4\right)$

c)

$\left(x,y\right)\rightarrow\left(x+5,y-4\right)$

d)

$\left(x,y\right)\rightarrow\left(x-4,y+5\right)$

17.

Which transformation rule below translates points 5 units to the left and 2 units up?

a)

$\left(x,y\right)\rightarrow\left(x+5,y+2\right)$

b)

$\left(x,y\right)\rightarrow\left(x-5,\ y-2\right)$

c)

$\left(x,y\right)\rightarrow\left(x+5,\ y-2\right)$

d)

$\left(x,y\right)\rightarrow\left(x-5,y+2\right)$

18.

Write the rule that describes the reflection of the figure.

a)

$\left(x,y\right)\rightarrow\left(x,-y\right)$

b)

$\left(x,y\right)\rightarrow\left(-x,y\right)$

c)

$\left(x,y\right)\rightarrow\left(-x,-y\right)$

d)

$\left(x,y\right)\rightarrow\left(y,x\right)$

Review G 2B

Total questions: 18

Worksheet time: 45mins

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