Free Printable Unit 2 Review

Worksheets

Unit 2 Review

Total questions: 54

Worksheet time: 1hrs 5mins

Name

Class

Date

Which of the following describes the image of a figure translated by the function:

(x, y) → (x - 7, y)

The image is 7 units to the right of the pre-image.

The image is 7 units to the left of the pre-image.

The image is 7 units above of the pre-image.

The image is 7 units below of the pre-image.

Which of the following describes the image of a figure translated by the function:

(x, y) → (x + 1, y)

The image is 1 unit to the right of the pre-image.

The image is 1 unit to the left of the pre-image.

The image is 1 unit above of the pre-image.

The image is 1 unit below of the pre-image.

Which of the following describes the image of a figure translated by the function:

(x, y) → (x, y - 9)

The image is 9 units to the right of the pre-image.

The image is 9 units to the left of the pre-image.

The image is 9 units above of the pre-image.

The image is 9 units below of the pre-image.

Which of the following describes the image of a figure translated by the function:

(x, y) → (x, y + 4)

The image is 4 units to the right of the pre-image.

The image is 4 units to the left of the pre-image.

The image is 4 units above of the pre-image.

The image is 4 units below of the pre-image.

Identify the transformation from ABC to A'B'C'.

(x, y) → (x + 8, y + 4)

(x, y) → (x - 8, y - 4)

(x, y) → (x + 4, y + 8)

(x, y) → (x - 4, y - 8)

How is trapezoid ABCD translated to trapezoid A'B'C'D'?

(x, y) → (x + 5, y - 5)

(x, y) → (x + 1, y - 5)

(x, y) → (x + 5, y - 8)

(x, y) → (x + 4, y - 5)

In a figure, a rectangle in the coordinate plane undergoes a transformation: (x, y) → (2x, y).

If the coordinates of the rectangle are: A(1,2), B(1, 5), C(3, 2), D(3, 5), what are the coordinates of the image?

A'(2, 4), B'(2, 10), C'(6, 4), D'(6, 10)

A'(3, 2), B'(3, 5), C'(5, 2), D'(5, 5)

A'(1, 4), B'(1, 10), C'(3, 4), D'(3, 10)

A'(2, 2), B'(2, 5), C'(6, 2), D'(6, 5)

In a figure, a rectangle in the coordinate plane undergoes a transformation: (x, y) → (x, 2y).

If the coordinates of the rectangle are: A(1,2), B(1, 5), C(3, 2), D(3, 5), what are the coordinates of the image?

A'(2, 4), B'(2, 10), C'(6, 4), D'(6, 10)

A'(1, 4), B'(1, 7), C'(3, 4), D'(3, 7)

A'(1, 4), B'(1, 10), C'(3, 4), D'(3, 10)

A'(2, 2), B'(2, 5), C'(6, 2), D'(6, 5)

Which answer shows a reflection across the y-axis?

10.

Which answer shows a reflection across the x-axis?

11.

How many degrees was the figure rotated clockwise? (Type the number.)

(a)

12.

What is the angle of rotation for this counterclockwise rotation about the origin? (Type the number.)

(a)

13.

How many degrees counterclockwise was the figure rotated? (Type the number.)

(a)

14.

How many degrees was the figure rotated? (Type the number.)

(a)

15.

If the red triangle is rotated 180 degrees, then reflected over y=2 what is the final image?

Green Triangle

Blue Triangle

Orange Triangle

Red Triangle

16.

What is the sequence of transformations? Fill in the blanks. (Put a comma between both answers.)

Reflect over the ___-axis then reflect over the ___-axis

(a)

17.

Describe the transformations that map ABC onto A"B"C"

translate 5 up and 1 left then reflect over y

translate 5 down and 1 left, then reflect over y

reflect over y=x then translate left 8

reflect over x then rotate 90 clockwise

18.

What is the sequence of transformations from the blue triangle to the green triangle? Fill in the blanks. (Put a comma between both answers.)

Reflection across the line ______ then reflection across the line _______

(a)

19.

Find the measure of $\overline{GJ}.$

14 meters

None of these.

19 meters

16 meters

20.

Find the measure of $\angle DEF.$

$105\degree$

$180\degree$

$34\degree$

$41\degree$

21.

If m∠B = (3x - 1)° and m∠C = (2x + 3)°, what is the m∠A?

(a)

22.

Given the Triangle Sum Theorem proof, what is the missing statement?

m∠1 + m∠2 = m∠3

m∠4 + m∠1 + m∠5 = 180°

m∠4 + m∠5 = m∠1

m∠2 + m∠3 = 90°

23.

Given that ∠P ≅ ∠Q, what is the reason that △PRS ≅ △QRS?

SAS

ASA

SSS

AAS

24.

In the figure, AD ≅ AC and DB ≅ BC. Which congruence criteria can we use to prove the two triangles are congruent?

SSS

SAS

ASA

AAS

25.

In the figure, L is the midpoint of KM and JN. What congruence criteria can be used to prove that the two triangles are congruent?

ASA

SAS

AAS

SSS

26.

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.

45°

90°

180°

360°

27.

Solve for x THEN find the degrees for angle A.

44^o

96^o

-14^o

63^o

28.

△ABC has angle measures given by m∠A = 21x - 1, m∠B = 26x + 6, and m∠C = 11x + 1. What is the measure of ∠C?

34°

46°

62°

36°

29.

Which of the following angles are remote interior angles to

\angle d

$\angle a\ and\ \angle b$

$\angle a\ and\ \angle c$

$\angle b\ and\ \angle d$

$\angle a,\ \angle b,\ and\ \angle c$

30.

Given a triangle with two remote interior angles, an interior angle, and an exterior angle, what is the relationship between the interior and exterior angle?

congruent

complementary

supplementary

31.

Solve for x.

32.

Given that m∠1 = 3x - 5, m∠2 = 6x + 29, and the given angle is 102°, what is m∠3?

6°

13°

65°

115°

33.

△ABC is an isosceles triangle with vertex angle B, AB = 5x − 28, AC = x + 5, and BC = 2x + 11. What is the length of a leg?

34.

△ABC is an isosceles triangle with vertex angle B, AB = 5x − 28, AC = x + 5, and BC = 2x + 11. What is the length of the base?

35.

D and E are midpoints of the sides of this triangle. If AD = 20 in, EC = 23 in, and BC = 60 in, what is the length of AB? (Type the number.)

(a)

36.

D and E are midpoints of the sides of this triangle. If AD = 20 in, EC = 23 in, and BC = 60 in, what is the length of DE? (Type the number.)

(a)

37.

D and E are midpoints of the sides of this triangle. If AD = 20 in, EC = 23 in, and BC = 60 in, what is the length of EA? (Type the number.)

(a)

38.

LMNO is a rectangle with ∠MLO ≅ ∠NOL, ML ≅ NO, and LO ≅ LO. What is the congruence criteria to prove △MLO ≅△NOL?

SAS

ASA

SSS

AAS

39.

What is the reason for the following statement?

m∠1 + m∠2 + m∠3 = 180° and m∠4 + m∠5 + m∠6 = 180°

Complementary Angles Theorem

Supplementary Angles Theorem

Exterior Angle Theorem

Triangle Sum Theorem

40.

$105\degree$

$70\degree$

$145\degree$

$125\degree$

41.

Find the measurement indicated in each parallelogram.

$130\degree$

$74\degree$

$140\degree$

$40\degree$

42.

The figure shoes parallelogram WXYZ and its diagonals. The length of YX is twice the length of WZ and YS = 7. What is the length of WS?

(a)

43.

The figure shoes parallelogram WXYZ and its diagonals. The length of YX is twice the length of WZ and YS = 7. What is the length of XS?

(a)

44.

What are the properties for squares?

Diagonals are perpendicular.

Diagonals are parallel.

Diagonals bisect opposite angles.

Diagonals bisect opposite sides.

Diagonals are congruent.

45.

What are NOT properties for squares?

Diagonals are perpendicular.

Diagonals are parallel.

Diagonals bisect opposite angles.

Diagonals bisect opposite sides.

Diagonals are congruent.

46.

The diagonals of rhombus LMNO intersect at point P, forming 4 triangles. The measure of ∠PLM = 52°. What is the measure of ∠LMN?

(a)

47.

The diagonals of rhombus LMNO intersect at point P, forming 4 triangles. The measure of ∠PLM = 52°. What is the measure of ∠ONM?

(a)

48.

The diagonals of rhombus LMNO intersect at point P, forming 4 triangles. The measure of ∠PLM = 52°. What is the measure of ∠LPM?

(a)

49.

In quadrilateral SKIP, ∠P is a right angle, KI = SP, and SK = IP. What kind of quadrilateral is this?

trapezoid

rhombus

rectangle

square

50.

Point O is the intersection of the diagonals in parallelogram ABCD. What do the given facts that △AOB ≅ △COD and BO ≅ OC prove about ABCD?

The diagonals are perpendicular, which proves the figure is a rhombus.

The diagonals are congruent, which proves the figure is a rectangle.

The diagonals are perpendicular bisectors, which proves the figure is a square.

The diagonals bisect each other, which proves the figure is a trapezoid.

51.

Figure LOVE has vertices at:

L(-7, 2)

O(-2, -10)

V(5, 7)

E(10, -5)

Use the coordinates of the vertices of the quadrilateral to find the length of each of the sides.

(a)

52.

Figure LOVE has vertices at:

L(-7, 2)

O(-2, -10)

V(10, -5)

E(5, 7)

Use the coordinates of the vertices of the quadrilateral to find the slope of LO and VE.

(a)

53.

Figure LOVE has vertices at:

L(-7, 2)

O(-2, -10)

V(10, -5)

E(5, 7)

Use the coordinates of the vertices of the quadrilateral to find the slope of OV and LE.

(a)

54.

Figure LOVE has vertices at:

L(-7, 2)

O(-2, -10)

V(10, -5)

E(5, 7)

Which names describe LOVE? Choose all that apply.

Quadrilateral

Parallelogram

Rhombus

Rectangle

Square

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Unit 2 Review

Total questions: 54

Worksheet time: 1hrs 5mins

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