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Worksheets

Geometry SOL Review

Total questions: 77

Worksheet time: 40mins

Name
Class
Date
1.

midpoint formula

a)

(x2x1)2+(y2y1)2\sqrt[]{}\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2

b)

(x1+x22, y1+y22)\left(\frac{x_1+x_2}{2},\frac{\ y_1+y_2}{2}\right)

c)

y2y1x2x1\frac{y_2-y_1}{x_2-x_1}

d)

a2+b2=c2a^2+b^2=c^2

2.

distance formula

a)

(x2x1)2+(y2y1)2\sqrt[]{}\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2

b)

(x1+x22, y1+y22)\left(\frac{x_1+x_2}{2},\frac{\ y_1+y_2}{2}\right)

c)

y2y1x2x1\frac{y_2-y_1}{x_2-x_1}

d)

a2+b2=c2a^2+b^2=c^2

3.

slope formula

a)

(x2x1)2+(y2y1)2\sqrt[]{}\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2

b)

(x1+x22, y1+y22)\left(\frac{x_1+x_2}{2},\frac{\ y_1+y_2}{2}\right)

c)

y2y1x2x1\frac{y_2-y_1}{x_2-x_1}

d)

a2+b2=c2a^2+b^2=c^2

4.

Pythagorean theorem

a)

(x2x1)2+(y2y1)2\sqrt[]{}\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2

b)

(x1+x22, y1+y22)\left(\frac{x_1+x_2}{2},\frac{\ y_1+y_2}{2}\right)

c)

y2y1x2x1\frac{y_2-y_1}{x_2-x_1}

d)

a2+b2=c2a^2+b^2=c^2

5.

slope formulas

a)

riserun\frac{rise}{run}

b)

down and upright and left\frac{down\ and\ up}{right\ and\ left}

c)

up and downleft and right\frac{up\ and\ down}{left\ and\ right}

d)

runrise\frac{run}{rise}

6.

parallel line slope

a)

same slope (same rise over run)

b)

same slope (same run over rise)

c)

negative reciprocal slope (flip and negate)

d)

negative slope (flip and negate)

7.

perpendicular line slope

a)

same slope (same rise over run)

b)

same slope (same run over rise)

c)

negative reciprocal slope (flip and negate)

d)

negative slope (flip and negate)

8.

logic

conditional

a)

p --> q

b)

q --> p

c)

~p --> ~q

d)

~q --> ~p

9.

logic

converse

a)

p --> q

b)

q --> p

c)

~p --> ~q

d)

~q --> ~p

10.

logic

inverse

a)

p --> q

b)

q --> p

c)

~p --> ~q

d)

~q --> ~p

11.

logic

contrapositive

a)

p --> q

b)

q --> p

c)

~p --> ~q

d)

~q --> ~p

12.

Logic

if... then...

a)

-->

b)

<-->

c)

^

d)

V

13.

Logic

if and only if

a)

-->

b)

<-->

c)

^

d)

V

14.

Logic

and

a)

-->

b)

<-->

c)

^

d)

V

15.

Logic

or

a)

-->

b)

<-->

c)

^

d)

V

16.

Logic

so

a)

\therefore

b)

~

c)

^

d)

V

17.

Logic

not

a)

\therefore

b)

~

c)

^

d)

V

18.

what does this image represent?

a)

alternate interior

b)

alternate exterior

c)

corresponding

d)

sameside and consecutive

19.

what does this image represent?

a)

alternate interior

b)

alternate exterior

c)

corresponding

d)

sameside and consecutive

20.

what does this image represent?

a)

alternate interior

b)

alternate exterior

c)

corresponding

d)

sameside and consecutive

21.

what does this image represent?

a)

alternate interior

b)

alternate exterior

c)

corresponding

d)

sameside/ consecutive

22.

what things are congruent (equal each other)

a)

alternate interior

b)

alternate exterior

c)

corresponding

d)

sameside/ consecutive

23.

what things are supplementary (equal to 180)

a)

alternate interior

b)

alternate exterior

c)

corresponding

d)

sameside/ consecutive

24.

sum of interior angles

a)

(n2)180\left(n-2\right)\cdot180

b)

360360

c)

(n2)180n\frac{\left(n-2\right)\cdot180}{n}

d)

360n\frac{360}{n}

25.

sum of exterior angles

a)

(n2)180\left(n-2\right)\cdot180

b)

360360

c)

(n2)180n\frac{\left(n-2\right)\cdot180}{n}

d)

360n\frac{360}{n}

26.

one interior angle

a)

(n2)180\left(n-2\right)\cdot180

b)

360360

c)

(n2)180n\frac{\left(n-2\right)\cdot180}{n}

d)

360n\frac{360}{n}

27.

one exterior angle

a)

(n2)180\left(n-2\right)\cdot180

b)

360360

c)

(n2)180n\frac{\left(n-2\right)\cdot180}{n}

d)

360n\frac{360}{n}

28.

what congruent triangle theorem represent?

a)

SSS

b)

SAS

c)

ASA

29.

what congruent triangle theorem represent?

a)

SSS

b)

SAS

c)

ASA

30.

what congruent triangle theorem represent?

a)

SSS

b)

SAS

c)

ASA

31.

what congruent triangle theorem represent?

a)

AAS

b)

HL

c)

CPCTC

32.

what congruent triangle theorem represent?

a)

AAS

b)

HL

c)

CPCTC

33.

what are the similar triangle theorems?

(a)  

34.

what is the exterior angle theorem?

a)

m<1 + m<2 = m<3

b)

a + b > c

35.

what makes a triangle?

a)

m<1 + m<2 = m<3

b)

a + b > c

36.

what makes a right triangle?

a)

c2=a2+b2c^2=a^2+b^2

b)

c2 < a2+b2c^2\ <\ a^2+b^2

c)

c2 >a2+b2c^{2\ }>a^2+b^2

37.

what makes an acute triangle?

a)

c2=a2+b2c^2=a^2+b^2

b)

c2 < a2+b2c^2\ <\ a^2+b^2

c)

c2 >a2+b2c^{2\ }>a^2+b^2

38.

what makes an obtuse triangle?

a)

c2=a2+b2c^2=a^2+b^2

b)

c2 < a2+b2c^2\ <\ a^2+b^2

c)

c2 >a2+b2c^{2\ }>a^2+b^2

39.

how do you find the range of the third side of a triangle?

a)

a - b < c < a + b

b)

b - a < b - a

40.

what is area of a sector?

a)

πr2(°360)\pi r^2\left(\frac{\degree}{360}\right)

b)

2πr(°360)2\pi r\left(\frac{\degree}{360}\right)

c)

rπ2(°360)r\pi^2\left(\frac{\degree}{360}\right)

d)

rπ2(°360)r\pi2\left(\frac{\degree}{360}\right)

41.

what is the length of an arc?

a)

πr2(°360)\pi r^2\left(\frac{\degree}{360}\right)

b)

2πr(°360)2\pi r\left(\frac{\degree}{360}\right)

c)

rπ2(°360)r\pi^2\left(\frac{\degree}{360}\right)

d)

rπ2(°360)r\pi2\left(\frac{\degree}{360}\right)

42.

what is SOH?

a)

opposite over hypotenuse

b)

adjacent over hypotenuse

c)

opposite over adjacent

43.

what is CAH?

a)

opposite over hypotenuse

b)

adjacent over hypotenuse

c)

opposite over adjacent

44.

what is TOA?

a)

opposite over hypotenuse

b)

adjacent over hypotenuse

c)

opposite over adjacent

45.

what do you type into Desmos to get the formula for SOH, CAH, TOA?

(a)  

46.

midsegment formula

a)

EF = BC + AD2EF\ =\frac{\ BC\ +\ AD}{2}

b)

EF = AD  BC2EF\ =\ \frac{AD\ -\ BC}{2}

c)

AD = EF  BC2AD\ =\ \frac{EF\ -\ BC}{2}

d)

EF = BC  AD2EF\ =\ \frac{BC\ -\ AD}{2}

47.

what does this picture represent?

a)

copy a line segment

b)

perpendicular bisector

c)

angle bisector

d)

perpendicular line passing through a point on the given line

48.

what does this picture represent?

a)

copy a line segment

b)

perpendicular bisector

c)

angle bisector

d)

perpendicular line passing through a point on the given line

49.

what does this picture represent?

a)

copy a line segment

b)

perpendicular bisector

c)

angle bisector

d)

perpendicular line passing through a point on the given line

50.

what does this picture represent?

a)

copy a line segment

b)

perpendicular bisector

c)

angle bisector

d)

perpendicular line passing through a point on the given line

51.

what does this picture represent?

a)

perpendicular line passing through a point NOT on the given line

b)

equilateral triangle.... parallel lines

c)

square inscribed in a circle

d)

hexagon inscribed in a circle

52.

what does this picture represent?

a)

perpendicular line passing through a point NOT on the given line

b)

equilateral triangle.... parallel lines

c)

square inscribed in a circle

d)

hexagon inscribed in a circle

53.

what does this picture represent?

a)

perpendicular line passing through a point NOT on the given line

b)

equilateral triangle.... parallel lines

c)

square inscribed in a circle

d)

hexagon inscribed in a circle

54.

what does this picture represent?

a)

perpendicular line passing through a point NOT on the given line

b)

equilateral triangle.... parallel lines

c)

square inscribed in a circle

d)

hexagon inscribed in a circle

55.

central angle equals what?

a)

angle = arc

b)

angle = 1/2 (arc)

c)

angle = 1/2 (arc1 + arc2)

d)

angle = 1/2 (far arc - near arc)

56.

inscribed angle equals what?

a)

angle = arc

b)

angle = 1/2 (arc)

c)

angle = 1/2 (arc1 + arc2)

d)

angle = 1/2 (far arc - near arc)

57.

inside angle equals what?

a)

angle = arc

b)

angle = 1/2 (arc)

c)

angle = 1/2 (arc1 + arc2)

d)

angle = 1/2 (far arc - near arc)

58.

vertex outside angle equals what?

a)

angle = arc

b)

angle = 1/2 (arc)

c)

angle = 1/2 (arc1 + arc2)

d)

angle = 1/2 (far arc - near arc)

59.

central angle equals?

a)

x°=y°x\degree=y\degree

b)

x=12yx=\frac{1}{2}y

c)

x=12(y°+z°)x=\frac{1}{2}\left(y\degree+z\degree\right)

d)

x=12(z°y°)x=\frac{1}{2}\left(z\degree-y\degree\right)

60.

inscribed angle equals?

a)

x°=y°x\degree=y\degree

b)

x=12yx=\frac{1}{2}y

c)

x=12(y°+z°)x=\frac{1}{2}\left(y\degree+z\degree\right)

d)

x=12(z°y°)x=\frac{1}{2}\left(z\degree-y\degree\right)

61.

inside angle equals?

a)

x°=y°x\degree=y\degree

b)

x=12yx=\frac{1}{2}y

c)

x=12(y°+z°)x=\frac{1}{2}\left(y\degree+z\degree\right)

d)

x=12(z°y°)x=\frac{1}{2}\left(z\degree-y\degree\right)

62.

vertex outside angle equals?

a)

x°=y°x\degree=y\degree

b)

x=12yx=\frac{1}{2}y

c)

x=12(y°+z°)x=\frac{1}{2}\left(y\degree+z\degree\right)

d)

x=12(z°y°)x=\frac{1}{2}\left(z\degree-y\degree\right)

63.

what formula matches the picture?

a)

xy = wz

b)

(x + y) x = (w + z) * w

c)

x^2 = (y + z) * y

d)

x = y

64.

what formula matches the picture?

a)

xy = wz

b)

(x + y) * x = (w + z) * w

c)

x^2 = (y + z) * y

d)

x = y

65.

what formula matches the picture?

a)

xy = wz

b)

(x + y) * x = (w + z) * w

c)

x^2 = (y + z) * y

d)

x = y

66.

what formula matches the picture?

a)

xy = wz

b)

(x + y) * x = (w + z) * w

c)

x^2 = (y + z) * y

d)

x = y

67.

what is the formula for the circle equation?

a)

(x - h)^2 + (y - k)^2 = r^2

b)

(h - x)^2 + (k - y)^2 = r^2

c)

(x + h)^2 - (y + k)^2 = r^2

68.

reflection equals what?

a)

flip

b)

turn

c)

shift/move

d)

enlarge/reduce

69.

rotation equals what?

a)

flip

b)

turn

c)

shift/move

d)

enlarge/reduce

70.

translation equals what?

a)

flip

b)

turn

c)

shift/move

d)

enlarge/reduce

71.

dilation equals what?

a)

flip

b)

turn

c)

shift/move

d)

enlarge/reduce

72.

if you reflect something on the y axis, you change the sign on the _ axis?

a)

x

b)

6

c)

y

d)

z

73.

if you reflect something on the x axis, you change the sign on the _ axis?

a)

x

b)

6

c)

y

d)

z

74.

what is the equation for a translation?

a)

(x,y) --> (x + a, y + b)

b)

(x,y) --> (x - a, y - b)

c)

(x,y) --> (x + a, y - b)

d)

(x,y) --> (x - a, y + b)

75.

what is the equation for dilation?

a)

(x,y) --> (k * x, k * y)

b)

(x,y) --> (k + x, k * y)

c)

(x,y) --> (k - x, k - y)

d)

(x,y) --> (k + x, k + y)

76.

what is the law of detachment equation?

a)

p --> q

p OVER

so q

b)

p --> q

q --> r OVER

so p --> r

c)

p --> q OVER p --> r

77.

what is the law of syllogism equation?

a)

p --> q

p OVER

so q

b)

p --> q

q --> r OVER

so p --> r

c)

p --> q OVER p --> r