Based on the coordinates below, what transformation was most likely applied to figure XYZ in order to obtain the coordinates of X'Y'Z'?

Rotation 180° about the origin

Rotation 90° Clockwise about the origin

Which transformation most likely maps figure UVWXYZ onto figure U'V'W'X'Y'Z'?

Translation using (x, y) -> (x + 3, y)

Translation using (x, y) -> (x, y + 3)

Which transformation most likely maps figure ABCD onto figure A'B'C'D'?

Rotation 90° Clockwise about the origin

Rotation 90° Counter-Clockwise about the origin

Rotation 180° about the origin

Which transformation most likely maps figure CDE onto figure C'D'E'?

Rotation 180° about the origin

Which transformation most likely maps figure AZ onto figure A'Z'?

Translation 8 units right and 1 unit down

Translation 8 units left and 1 unit up

Rectangle ABCD has been rotated 90° clockwise and reflected across the x-axis to form rectangle A'B'C'D'. What is true about the rectangles?

Rectangle ABCD is congruent to rectangle A'B'C'D'.

Rectangle ABCD is similar but not congruent to rectangle A'B'C'D'.

Rectangle ABCD has the same angle measures as A'B'C'D' but different side lengths.

Rectangle ABCD has no relationship with rectangle A'B'C'D'.

Which sequence of transformations would produce two figures that are similar but NOT congruent to each other?

Translation down 10 units → Dilation using k = ½

Reflection across the Y-axis → Translation 5 units up

Rotation 180° about the origin → Reflection across the X-axis

Rotation 90° clockwise about the origin → Translation 1 unit right and 1 unit up

Which sequence of transformations was most likely applied to figure QRSTU to form Q'R'S'T'U' as shown below?

Reflection across the y-axis, translation 4 units down.

Reflection across the x-axis, translation 3 units left.

Reflection across the x-axis, translation 3 units right.

Reflection across the y-axis, translation 4 units up.

Which sequence of transformations could triangle XYZ have gone through to produce figure X'Y'Z' as shown below?

Rotation 90° clockwise about the origin, reflection across the y-axis

Rotation 90° clockwise about the origin, translation 4 units up and 3 units right.

Rotation 90° counterclockwise about the origin, translation 3 units up and 4 units right.

Rotation 90° counterclockwise about the origin, reflection across the y-axis.

Rectangle ABCD has been translated 5 units down and dilated by a scale factor (k) of ½ to form rectangle A'B'C'D'. What is true about the rectangles?

Rectangle ABCD is similar but not congruent to rectangle A'B'C'D'.

Rectangle ABCD is congruent to rectangle A'B'C'D'.

Rectangle ABCD has the same side lengths as A'B'C'D' but different angle measures.

Rectangle ABCD has no relationship with rectangle A'B'C'D'.

Which sequence of transformations was most likely applied to figure QRSTU to form Q'R'S'T'U' as shown below?

Rotation 90° clockwise, dilation using k = 1/2

Rotation 90° clockwise, dilation using k = 2

Rotation 180°, dilation using k = 1/2

Rotation 180°, dilation using k = 2

Which sequence of transformations would produce two figures that are congruent to each other?

Translation 2 units right, 1 unit down → Reflection across the Y-axis

Rotation 180° about the origin → Dilation using k = 2

Dilation using k = ½ → Reflection across the X-axis

Reflection across the line y = 3 → Dilation using k = 4

Which sequence of transformations could triangle XYZ have gone through to produce figure X'Y'Z' as shown below?

Reflection across the y-axis, dilation using k = 2

Reflection across the y-axis, dilation using k = ½

Reflection across the x-axis, dilation using k = 2

Reflection across the x-axis, dilation using k = ½

In the figure below, a sequence of transformations has been used to map Figure 1 → Figure 2 → Figure 3 → Figure 4. Which transformation was NOT used in the sequence?

Translation (x,y) → (x + 4, y + 5)

In the figure above, lines l and n are parallel and cut by transversal t. Which angle relationship statement is TRUE?

B) ∠E has an alternate interior relationship to ∠F

A) ∠A has a vertical relationship to ∠D

C) ∠B has an alternate exterior relationship to ∠H

D) ∠B has a supplementary relationship to ∠D

Rachel says that the measure of x° in the figure below is 30°. For Rachel to be correct, what condition must be true about the figure?

A) For x° = 30°, line segments l and m must not be parallel.

B) For x° = 30°, line segments l and m must be the same length.

C) For x° = 30°, line segment m must be the same length as lm.

D) There is no condition under which x could equal 30°.

Consider the triangles below. Which statement is true?

B) The triangles are similar because of angle-angle criterion.

A) The triangles are congruent because of angle-angle criterion.

C) The triangles are neither similar nor congruent because angle-angle criterion has not been met.

D) There is not enough information to determine similarity or congruence.

In the figure below, EB is parallel to CD. What can be concluded about ∆ABE and ∆ACD?

B) The triangles are similar because of angle-angle criterion.

A) The triangles are congruent because of angle-angle criterion.

C) The triangles are neither similar nor congruent because angle-angle criterion has not been met.

D) There is not enough information to determine similarity or congruence.

End of Year Review

Authored by Emily Quintana

Mathematics

8th Grade

CCSS covered

Used 2+ times

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100 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Figure RST has been rotated 90° clockwise to form figure OPQ. Which of the following statements is true?

m∠R ≅ m∠Q

m∠S ≅ m∠P

RS ≅ PQ

ST ≅ OP

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Trapezoid ABCD has been translated down and to the right to form trapezoid RSTU. Given that AB || DC, which of the following statements is true concerning trapezoid RSTU?

AB ≅ DC

ST ≅ UT

AB || RS

RS || UT

Tags

CCSS.8.G.A.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Figure ABCD has been reflected across the y-axis to form figure WXYZ. Which of the following statements is true?

m∠A ≅ m∠Y

m∠D ≅ m∠X

AB ≅ WX

AB ≅ YZ

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If figure LMNO ≅ PQRS as shown below, which transformation was most likely applied to LMNO to produce PQRS?

Reflection

Rotation

Translation

Dilation

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Two figures, ABC and XYZ, are congruent. If m∠A = 50° and XZ = 3 cm, which statement below must be true?

m∠X = 50°, AC = 3 cm

m∠B = 50°, YZ = 3 cm

m∠X = 90°, AC = 6 cm

m∠B = 90°, AC = 6 cm

Tags

CCSS.8.G.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Given the figures below, EFGH and IJKL are congruent by a rotation of 180°, what is the length of JK?

JK = 5 cm

JK = 3 cm

JK = 9 cm

JK = 3.5 cm

Tags

CCSS.8.G.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Line segment RS is shown below with coordinates R(-8, -3) and S(3, -3). Which coordinate below would represent R' if point R was reflected across the x-axis?

(-8, 3)

(3, 3)

(8, -3)

(-3, -3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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End of Year Review

Figure RST has been rotated 90° clockwise to form figure OPQ. Which of the following statements is true?

Trapezoid ABCD has been translated down and to the right to form trapezoid RSTU. Given that AB || DC, which of the following statements is true concerning trapezoid RSTU?

Figure ABCD has been reflected across the y-axis to form figure WXYZ. Which of the following statements is true?

If figure LMNO ≅ PQRS as shown below, which transformation was most likely applied to LMNO to produce PQRS?

Two figures, ABC and XYZ, are congruent. If m∠A = 50° and XZ = 3 cm, which statement below must be true?

Given the figures below, EFGH and IJKL are congruent by a rotation of 180°, what is the length of JK?

Line segment RS is shown below with coordinates R(-8, -3) and S(3, -3). Which coordinate below would represent R' if point R was reflected across the x-axis?

If parallelogram ABCD is translated left 2 units and down 5 units, what is the resulting coordinate of B'?

If figure EFGH is rotated 270° counter-clockwise about the origin, what would be the resulting coordinate of point F?

Based on the coordinates below, what transformation was most likely applied to figure XYZ in order to obtain the coordinates of X'Y'Z'?

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