Free Printable Adv. Geometry Semester 1 Review

1.

Determine how to translate triangle ABC to triangle A'B'C'.

a)

(x-2, y+5)

b)

(x+2, y-9)

c)

(x-2, y+9)

d)

(x-9, y+2)

2.

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

a)

(6, 3)

b)

(-6, -3)

c)

(-3, 6)

d)

(3, -6)

3.

Identify the transformation from C to D.

a)

90^o Counter Clockwise Rotation

b)

180^o Rotation

c)

270^o Counter clockwise Rotation

d)

360^o Rotation

4.

If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?

a)

(-5, 5)

b)

(-3, 5)

c)

(-5, 3)

d)

(-3, 3)

5.

What is the sequence of transformations for the image given?

a)

Reflect over the x-axis, translate (x+8,y)

b)

Reflect over the x-axis then translate (x+6, y)

c)

Reflect over the y-axis then (x+1, y+1)

d)

Translate down 4 (y-4) and to the right 5 (x+5)

6.

Write a rule for the translation.

a)

(x -1, y + 2)

b)

(x -2, y + 1)

c)

(x +2, y - 1)

d)

(x +1, y - 2)

7.

Dilate a 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)

a)

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

b)

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

c)

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

d)

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

8.

Identify the angle of rotation that maps the image to itself.

a)

90°

b)

180°

c)

45°

d)

60°

9.

Are these two triangles congruent? If so, how?

a)

Yes, by SAS

b)

Yes, by AAS

c)

Yes, by ASA

d)

Yes, they look congruent.

e)

No they are not congruent

10.

Are these two triangles congruent? If so, how?

a)

Yes, by SAS

b)

Yes, by SSS

c)

Yes, by ASA

d)

Yes, they look congruent

e)

No they are not congruent

11.

Are these two triangles congruent? If so, how?

a)

Yes, by SAS

b)

Yes, by SSA

c)

Yes, by AAS

d)

Yes, they look congruent

e)

No, they are not congruent

12.

Are these two triangles congruent? If so, how?

a)

Yes, by ASA

b)

Yes, by AAA

c)

Yes, by AAS

d)

Yes they look congruent

e)

No they are not congruent

13.

If ∆LMK ≅ ∆LMT, then

∠K ≅ ____

a)

MT

b)

∠T

c)

∠M

d)

∠L

14.

Classify the triangle.

a)

Equilateral

b)

Scalene Acute

c)

Scalene Right

d)

Scalene Obtuse

15.

Classify the triangle.

a)

Equilateral

b)

Isosceles Acute

c)

Isosceles Right

d)

Isosceles Obtuse

16.

Classify the triangle.

a)

Equilateral

b)

Isosceles Acute

c)

Isosceles Right

d)

Isosceles Obtuse

17.

What is the measurement of the 3rd side of this isosceles triangle?

(a)

18.

What is the measurement of angle x for this isosceles triangle?

(a)

19.

What is the measurement of ED if EF = 16?

(a)

20.

Can the following 3 numbers be side measures of a triangle

7, 5, 4

a)

Yes

b)

No

21.

Can the following 3 numbers be side measures of a triangle

1, 13, 13

a)

Yes

b)

No

22.

Can the following 3 numbers be side measures of a triangle

3, 6, 2

a)

Yes

b)

No

23.

What is the measure of angle c?

a)

102

b)

26

c)

82

d)

108

24.

What is the value of x?

a)

143

b)

40

c)

77

d)

103

25.

a)

A

b)

B

c)

C

d)

D

26.

What is the measure of angle b?

a)

36^o

b)

56^o

c)

63^o

d)

117^o

27.

a = 2.1, b = 7.2,
c = 7.5
Is this a right triangle?

a)

yes

b)

no

28.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

29.

The lengths of a triangle are given below. Is the the triangle obtuse, acute, or right?
4, 5, 6

a)

right

b)

obtuse

c)

acute

30.

2, 12, 13

a)

acute

b)

right

c)

obtuse

d)

not a triangle

31.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

32.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Correpsonding

d)

Vertical Angles

33.

Name the angle relationship.

a)

Consecutive Interior

b)

Alternate Interior

c)

Corresponding

d)

Vertical Angles

34.

What angle corresponds to angle 6?

a)

angle 2

b)

angle 4

c)

angle 7

d)

angle 8

35.

If angle 6 is 25 degrees, how many degrees is angle 7?

a)

25 degrees

b)

50 degrees

c)

90 degrees

d)

155 degrees

36.

Find m ∠C.

a)

∠C=116°

b)

∠C=64°

c)

∠C=180°

d)

∠C=26°

37.

Solve for x.

a)

A

b)

B

c)

C

d)

D

38.

Solve for x.

a)

A

b)

B

c)

C

d)

D

39.

Solve for x.

a)

A

b)

B

c)

C

d)

D

40.

Solve for x.

a)

A

b)

B

c)

C

d)

D

41.

Solve for x.

a)

A

b)

B

c)

C

d)

D

42.

Find the measure of the angle indicated in bold.

a)

A

b)

B

c)

C

d)

D

43.

Find the center: $\left(x+4\right)^2+\left(y-2\right)^2\ =\ 25$

a)

(4, 2)

b)

(-4, -2)

c)

(-4, 2)

d)

(4, -2)

44.

Find the radius: $\left(x+4\right)^2+\left(y-2\right)^2\ =\ 25$

a)

2.5

b)

5

c)

25

d)

50

45.

Find the center: $\left(x-7\right)^2+y^2\ =\ 25$

a)

(7, 0)

b)

(-7, 0)

c)

(7, 1)

d)

(-7, -1)

46.

What is the equation of the circle?

center: (5, 3), radius: 2

a)

$\left(x-5\right)^2+\left(y-3\right)^2=2$

b)

$\left(x-5\right)^2+\left(y-3\right)^2=4$

c)

$\left(x+5\right)^2+\left(y+3\right)^2=2$

d)

$\left(x+5\right)^2+\left(y+3\right)^2=4$

47.

Write the equation of the circle graphed above.

a)

(x-2)²+(y+2)²=9

b)

(x+2)²+(y-2)²=9

c)

(x-2)²+(y+2)²=3

d)

(x+2)²+(y-2)²=3

48.

Which graph corresponds to
(x)²+ (y-6)²=9

a)

A

b)

B

c)

C

d)

D

49.

Which two lines are parallel?

a)

$y=\frac{3}{7}x-25$

b)

$y=\frac{3}{7}x+2$

c)

$y=\frac{7}{3}x-25$

d)

$y=3x+13$

e)

$y=7x+9$

50.

Which line is parallel to the line: $5x+6y=12$

a)

$y=-\frac{5}{6}x-2$

b)

$y=\frac{5}{6}x+13$

c)

$y=5x+11$

d)

$y=-5x-100$

51.

Which lines are parallel to the line: $5x+8y=32$

a)

$y=\frac{5}{8}x-1$

b)

$y=-\frac{5}{8}x+13$

c)

$y-12=\frac{5}{8}\left(x+13\right)$

d)

$y-5=\frac{5}{8}\left(x+8\right)$

e)

$y-2=-\frac{5}{8}\left(x+3\right)$

52.

Which two lines are perpendicular?

a)

$y=\frac{3}{7}x-25$

b)

$y=-\frac{3}{7}x+2$

c)

$y=-\frac{7}{3}x-25$

d)

$y=3x+13$

e)

$y=7x+9$

53.

Which line(s) are perpendicular to the line: $8x+2y=22$

a)

$y=\frac{1}{4}x-1$

b)

$y=-\frac{1}{4}x+13$

c)

$y-12=-\frac{1}{4}\left(x+13\right)$

d)

$y-5=4\left(x+8\right)$

e)

$y-2=\frac{1}{4}\left(x+3\right)$

54.

Which line is perpendicular to the line: $5x+6y=12$

a)

$y=-\frac{5}{6}x-2$

b)

$y=\frac{5}{6}x+13$

c)

$y=\frac{6}{5}x+11$

d)

$y=-\frac{6}{5}x-100$

55.

What is the distance between the two points?

a)

2\sqrt{10}

b)

4

c)

$4\sqrt{10}$

d)

$10\sqrt{2}$

56.

What is the midpoint of the segment with endpoints (1, 9) and (-3, 5)?

a)

(-1, 7)

b)

(2, 7)

c)

(7, -1)

d)

(2, 2)

57.

Find the distance between the points (4, 3) and (0, 6).

a)

3

b)

4

c)

5

d)

7

58.

What is the midpoint between (3, -1) and (8, -6)

a)

(11, -7)

b)

(-5.5, -3.5)

c)

(5.5, -3.5)

d)

(2, -2)

59.

Which is the correct way to name ∠q?

a)

∠RPQ

b)

∠QPR

c)

∠PQR

60.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is the converse of this statement?

a)

If a polygon is not a quadrilateral, then it is not a trapezoid.

b)

If a polygon is not a trapezoid, then it is not a quadrilateral.

c)

If a polygon is a trapezoid, then it is a quadrilateral.

d)

A rectangle is also a quadrilateral.

61.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is the inverse of this statement?

a)

If the polygon is not a quadrilateral, then it is not a trapezoid.

b)

If the polygon is not a trapezoid, then it is not a quadrilateral.

c)

If the polygon is a trapezoid, then it is a quadrilateral.

d)

A rectangle is also a quadrilateral.

62.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is the contrapositive of this statement?

a)

If a polygon is a trapezoid, then it is a quadrilateral.

b)

If a polygon is not a quadrilateral, then it is not a trapezoid.

c)

If a polygon is not a trapezoid, then it is not a quadrilateral.

d)

A rectangle is also a quadrilateral.

63.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is a counterexample of this statement?

a)

If a polygon is a trapezoid, then it is a quadrilateral.

b)

If a polygon is not a quadrilateral, then it is not a trapezoid.

c)

If a polygon is not a trapezoid, then it is not a quadrilateral.

d)

A rectangle is also a quadrilateral.

64.

The statement "an angle is a right angle if and only if its measure is 90^o" is an example of what type of statement?

a)

Conditional

b)

Conjecture

c)

Biconditional

65.

Factor

k² -2k - 24

a)

(k+4)(k-6)

b)

(k+4)(k+6)

c)

(k+6)(k-1)

d)

(k-4)(k+6)

66.

Factor

k²+7x+10

a)

(k+2)(k+5)

b)

(k-2)(k-5)

c)

(k+10)(k+4)

d)

(k+2)(k-5)

67.

Factor
x²+ 12x + 36

a)

(x + 6)(x +6)

b)

(x + 9)(x - 4)

c)

(x - 12)(x + 3)

d)

(x - 6)(x - 6)

68.

Solve by elimination:

7x+y=-9

-3x-y=5

a)

No solution

b)

(1,8)

c)

(-1,-3)

d)

(-1,-2)

69.

Solve by elimination.

6x - y = 2

-3x - 6y = 12

a)

(2,0)

b)

no solution

c)

(0,-2)

d)

infinite solutions

70.

What is the solution to this system of equations?

4x + y = 6

x - 2y = 6

a)

(2,-2)

b)

(1,2)

c)

( 1/2 , 4 )

d)

(-2,2)

e)

(2, 4)

Adv. Geometry Semester 1 Review

Total questions: 70

Worksheet time: 2hrs 30mins

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