Free Printable Geom Long Test 1 Q1 Review

1.

Which of the following is the correct formula in finding the distance between two points?

a)

$AB=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

b)

$AB=\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2$

c)

$AB=\sqrt{\left(x_2-x_1\right)+\left(y_2-y_1\right)}$

d)

$AB=\left(x_2-x_1\right)+\left(y_2-y_1\right)$

2.

What is the distance between the points

\left(1,1\right)

and

\left(4,5\right)

?

a)

$\sqrt{20}$ units

b)

$\sqrt{13}$ units

c)

$5$ units

d)

$\sqrt{61}$ units

3.

The coordinates of the endpoints of

\overline{AB}

is at

A\left(-7,4\right)

and

B\left(3,-2\right)

. How long is

\overline{AB}

?

a)

$\sqrt{136}$

b)

$\sqrt{112}$

c)

$8$

d)

$12$

4.

Which of the following is the correct formula in finding the coordinates of the midpoint of a segment given its endpoints?

a)

$M\left(\frac{x-y}{2}\right)\text{}$

b)

$M\left(\frac{x+y}{2}\right)$

c)

$M\left(\frac{x_2-x_1}{2}\ ,\ \frac{y_2-y_1}{2}\right)$

d)

$M\left(\frac{x_1+x_2}{2}\ ,\ \frac{y_1+y_2}{2}\right)$

5.

What are the coordinates of the midpoint of a segment whose endpoints are at $\left(3,-7\right)$ and $\left(-5,1\right)$ ?

a)

$\left(-1,-3\right)$

b)

$\left(1,3\right)$

c)

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

d)

$\left(2,6\right)$

6.

The midpoint of

\overline{YS}

is at

E\left(2,4\right)

. If one of the endpoints is at

Y\left(0,2\right)

, what are the coordinates of the other endpoint?

a)

$S\left(-2,0\right)$

b)

$S\left(-2,-4\right)$

c)

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

d)

$S\left(4,8\right)$

7.

Which of the following is the correct formula in finding the slope of a line that passes through two points?

a)

$m=\frac{x_2-x_1}{y_2-y_1}$

b)

$m=\frac{y_2-y_1}{x_2-x_1}$

c)

$m=\frac{x_1+x_2}{y_1+y_2}$

d)

$m=\frac{y_1+y_2}{x_1+x_2}$

8.

What is the slope of the given line?

a)

$\frac{2}{3}$

b)

$-\frac{2}{3}$

c)

$\frac{3}{2}$

d)

$-\frac{3}{2}$

9.

A line passes through the points $\left(4,1\right)$ and $\left(2,-5\right)$ . What is the slope of this line?

(a)

10.

Which of the following is the equation of the line that passes through $\left(-3,0\right)$ and is perpendicular with the line $3x-4y=6$ .

a)

$4x+3y+12=0$

b)

$3x-4y+12=0$

c)

$4x+3y-12=0$

d)

$3x-4y-12=0$

11.

Which of the following pairs of lines is considered parallel?

a)

$y=3x+2$ and $y=-\frac{1}{3}x+1$

b)

$2x-y=4$ and $4x-2y=8$

c)

$y=\frac{2}{3}x+4$ and $2x-3y=11$

d)

$3x+5y=9$ and $5x-3y=12$

12.

What angle pairs remain congruent regardless whether the two lines being intersected by a transversal are parallel or not?

a)

linear pair

b)

vertical angles

c)

corresponding angles

d)

same side interior angles

13.

The slope of line 1 is $-\frac{2}{5}$ while the slope of line 2 is $\frac{5}{2}$ . Are the lines parallel or perpendicular?

a)

parallel

b)

perpendicular

c)

neither

14.

Lines M and N are parallel. If the slope of line M is $\frac{3}{4}$ , what is the slope of line N?

a)

$\frac{4}{3}$

b)

$-\frac{4}{3}$

c)

$\frac{3}{4}$

d)

$-\frac{3}{4}$

15.

Based on the given illustration, what is the value of y?

a)

109

b)

71

c)

81

d)

119

16.

What is the value of x in the given illustration?

a)

25

b)

11

c)

18

d)

23

17.

What should be the value of x so that lines 1 and 2 will be parallel?

(a)

18.

In the figure, $\overrightarrow{NM}\ \parallel\ \overrightarrow{PQ}$ , $m\angle MNO=43\degree$ and $m\angle QPO=37\degree$ . What is the measure of $\angle NOP$ ?

a)

$70\degree$

b)

$280\degree$

c)

$80\degree$

d)

$65\degree$

Geom Long Test 1 Q1 Review

Total questions: 18

Worksheet time: 10mins

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