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Math 8 – Benchmark Review Q3 '20–21

Total câu hỏi: 16

Worksheet time: 4hrs 0mins

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1.

Which of the following is TRUE about the figures on the graph?

a)

The figures are not congruent because one can be created by reflecting the other across the y–axis.

b)

The figures are congruent because one can be created by reflecting the other across the y–axis.

c)

The figures are not congruent because one can be created by reflecting the other across the x–axis.

d)

The figures are congruent because one can be created by reflecting the other across the x–axis.

2.

Which of the following statements are TRUE about transformations? Select ALL that apply.

a)

During a translation, the size and shape remain the same.

b)

During a reflection, the size and location remain the same.

c)

During a rotation, the orientation and location change.

d)

During a dilation, the size and location change.

3.

If line segment AB is drawn in Quadrant III and then translated down and rotated 90 degrees clockwise, which of the following statements is TRUE about line segment A'B'?

a)

Line segment A'B' is longer than line segment AB.

b)

Line segment AB is longer than line segment A'B'.

c)

Line segment A'B' is the same length as line segment AB.

d)

Line segment A'B' is shorter than line segment AB.

4.

On a coordinate plane, if a figure has an angle measuring 69 degrees, which of the following statements are correct? Select THREE that apply.

a)

If the figure is rotated 90 degrees about the origin, the angle will still measure 69 degrees.

b)

If the figure is reflected across the line y = x, the angle will still measure 69 degrees.

c)

If the figure is rotated 180 degrees about the origin, the angle will no longer measure 69 degrees.

d)

If the figure is translated 15 units up, the angle will still measure 69 degrees.

5.

A pre–image is translated 7 units left and then reflected across the x–axis. Which of the following statements is TRUE about the image?

a)

The image will be congruent to the pre–image.

b)

The image will be larger than the pre–image.

c)

The image will be a different shape than the pre–image.

d)

The image will be smaller than the pre–image.

6.

Line m and line n are 8 units apart on a graph. If both lines are reflected across the x–axis, how many units apart will line m' and n' be?

a)

2

b)

4

c)

8

d)

12

7.

If quadrilateral KLMN is translated down 11 units and then reflected across the y–axis, what will the vertices of N' be?

a)

(6, –9)

b)

(6, 9)

c)

(–9, –6)

d)

(–6, –9)

8.

Which sequence of transformations can be used to transform figure A to figure B and then figure B to figure C?

a)

A rotation 90 degrees counterclockwise and then a translation down

b)

A rotation 90 degrees clockwise and then a reflection across the y–axis

c)

A reflection across the y–axis and then a translation down

d)

A translation left and then a reflection across the x–axis

9.

Which sequence of transformations can be used to transform the pre–image to the image?

a)

A reflection across the y–axis and then a translation down

b)

A translation left and then a reflection across the x–axis

c)

A translation left and then a translation down

d)

A rotation 90 degrees counterclockwise and then a translation down

10.

Which set of transformations could be used to prove the quadrilaterals are congruent?

a)

Reflect quadrilateral ABCD across the x–axis and then reflect it across the y–axis.

b)

Reflect quadrilateral ABCD across the y–axis and then translate it down 4 units.

c)

Reflect quadrilateral ABCD across the y–axis and then rotate it 90 degrees counter clockwise.

d)

Reflect quadrilateral ABCD across the x–axis and then rotate it 90 degrees counter clockwise.

11.

Which of the following statements are CORRECT about triangle AJV and triangle A'J'V' on the graph? Select TWO that apply.

a)

This dilation has a scale factor of 4, and the triangles are similar.

b)

This is a reduction with a scale factor of 14\frac{1}{4} .

c)

This is an enlargement, and all of the angles remain congruent.

d)

This is an enlargement, and all of the sides remain congruent.

12.

Quadrilateral A is rotated 90 degrees clockwise and then dilated with a scale factor of 5 to create quadrilateral B. Which of the following statements is TRUE?

a)

The two quadrilaterals are similar and congruent.

b)

The two quadrilaterals are not similar or congruent.

c)

The two quadrilaterals are congruent, but not similar.

d)

The two quadrilaterals are similar, but not congruent.

13.

Which transformation proves that the triangles on the graph are similar?

a)

A translation of triangle ABC 8 units right and 8 units down

b)

A dilation of triangle ABC with a scale factor of 13\frac{1}{3} .

c)

A dilation of triangle ABC with a scale factor of 3.

d)

A translation of triangle ABC 4 units up and 8 units left

14.

What sequence of transformations could triangle ABC go through to result in triangle DEC?

a)

A dilation with a scale factor of 2 and a reflection across the y–axis

b)

A dilation with a scale factor of 12\frac{1}{2} and a reflection across the x–axis

c)

A dilation with a scale factor of \frac{1}{2} and a reflection across the y–axis

d)

A dilation with a scale factor of 2 and a reflection across the x–axis

15.

Which of the following sequence of transformations will result in a figure that is similar to the original figure but has a SMALLER area than the original figure? Select ALL that apply.

a)

A rotation 180 degrees about the origin followed by a dilation by a scale factor of 94\frac{9}{4}

b)

A dilation about the origin by a scale factor of \frac{1}{3} followed by a translation down and a rotation 90 degrees clockwise

c)

A dilation about the origin by a scale factor of 34\frac{3}{4} followed by a reflection across the x–axis and another dilation by a scale factor of 23\frac{2}{3}

d)

A reflection across the y–axis followed by a dilation by a scale factor of 3 and then a translation 6 units up

16.

Which of the following sequence of transformations will result in a figure that is similar to the original figure but has a LARGER area than the original figure? Select ALL that apply.

a)

A translation 8 units right and 3 units down followed by a dilation about the origin by a scale factor of 5

b)

A dilation about the origin by a scale factor of 12\frac{1}{2} followed by a rotation 90 degrees counterclockwise and a translation left

c)

A dilation about the origin by a scale factor of 45\frac{4}{5} followed by a translation 12 units down and then another dilation about the origin by a scale factor of 110\frac{1}{10}

d)

A reflection across the x–axis followed by a dilation about the origin by a scale factor of 4 and then a rotation 180 degrees