A sequence of transformations is applied to $$\triangle CDE$$ to create $$\triangle C$$ . Select all the sequences of transformations that could be applied to $$\triangle CDE$$ so that $$\triangle CDE \equiv \triangle C$$ . The first option is incorrect and not included in this problem.

a clockwise rotation of 90 degrees and then a reflection across the y-axis

a translation 5 units down and then a clockwise rotation of 90 degrees

a reflection across the y-axis and then a translation 5 units down

a dilation by a scale factor of 2 and then a reflection across the y-axis

a translation 5 units down and then a dilation by a scale factor of 2

Chloe performs two transformations on trapezoid ABCD to prove that it is congruent to trapezoid EFGH. Which of the following transformations could Chloe perform? Sequence of Transformations

reflection across a vertical line

clockwise rotation of 90 degrees

reflection across a horizontal line

reflection across a diagonal line

clockwise rotation of 180 degrees

A transformation is to be performed on a figure. Which transformation will not produce a congruent figure?

dilation with a scale factor of 2 centered at the origin

translation 2 units to the right

rotation of 180 degrees about the origin

A horizontal line m is shown with two similar triangles, ABC and DEF. How can triangle ABC be transformed to result in triangle DEF?

a dilation, then a translation to the right

a reflection across a vertical line

a 90-degree rotation about point C

a dilation, then a reflection across a vertical line

The coordinate plane is shown. Ted draws triangle MNO in Quadrant III of the coordinate plane. He then applies two transformations to the triangle. -First, the triangle is reflected across the x-axis. -Then, the triangle is dilated by a factor of 1/3 about point M' to create triangle PQR. Which statement is true about triangle PQR?

Triangle PQR is similar to triangle MNO and in Quadrant II.

Triangle PQR is congruent to triangle MNO and is in Quadrant IV.

Triangle PQR is congruent to triangle MNO and in Quadrant II.

Triangle PQR is similar to triangle MNO and in Quadrant IV.

The vertices of ΔEFG are at E(-3, 4), F(5, 2), and G(-6, 1). The vertices of ΔE'F'G' are at E'(4, 3), F'(2, -5), and G'(1, 6). Which transformation can map ΔEFG to ΔE'F'G'?

a 90° clockwise rotation about the origin

a 180° rotation about the origin

Triangle QRS is congruent to triangle TUV. Both triangles are shown on the coordinate plane. Which sequence of transformations will map triangle QRS onto congruent triangle TUV?

Translate down by 1 unit, then reflect across the x-axis.

Translate up by 1 unit, then reflect across the x-axis.

Translate up by 1 unit, then reflect across the y-axis.

Translate down by 1 unit, then reflect across the y-axis.

Similar parallelograms EFGH and PQRS are shown. Which sequence of transformations can be performed on EFGH to prove that the parallelograms are similar?

a) a reflection across the x-axis and then a dilation by a scale factor of 3 centered at the origin

b) a reflection across the x-axis and then a dilation by a scale factor of 1/3 centered at the origin

c) a 180° clockwise rotation about the origin and then a dilation by a scale factor of 3 centered at the origin

d) a 180° clockwise rotation about the origin and then a dilation by a scale factor of 1/3 centered at the origin

Quadrilaterals EFGH and E'F'G'H' are shown on the coordinate grid. Which sequence of transformations shows that the quadrilaterals are congruent?

D. rotate EFGH 90 degrees clockwise about the origin and then translate the image 5 units down.

A. reflect EFGH across the y-axis and then translate the image 5 units to the right.

B. reflect EFGH across the y-axis and then translate the image 5 units down.

C. rotate EFGH 90 degrees clockwise about the origin and then translate the image 5 units to the right.

Hannah applies a sequence of transformations to an image and produces a different image that is similar but not congruent to the original. Which sequence of transformations could Hannah have used?

C. a reflection across the x-axis and a dilation by a scale factor of 2 with the origin as the center of dilation

A. a translation 5 units to the left and a reflection across the y-axis

B. a rotation 90° clockwise about the origin and a translation 5 units down

D. a dilation by a scale factor of 1/2 and then a dilation by a scale factor of 2 with the origin as the center of dilation for both dilations

A triangle and its transformation are shown. Select ALL of the transformations that prove $$\Delta ABC$$ is congruent to $$\Delta A$$ .

The figure is rotated clockwise $$180\degree$$ around the origin.

The figure is reflected over the y-axis and then reflected over the x-axis.

The figure is translated 10 units to the right and then reflected over the x-axis.

The figure is rotated clockwise $$270\degree$$ around the origin and then reflected over the x-axis.

The figure is reflected over the line x=y and then rotated clockwise $$90\degree$$ around the point A'.

Chapter 2 Transformations OST Review (8th Grade)

Authored by Jill McClure

Mathematics

8th Grade

2016 #4 covered

Used 1+ times

Chapter 2 Transformations OST Review (8th Grade)

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MATH RESPONSE QUESTION

2 mins • 1 pt

A company created a logo using two hexagons as shown. Hexagon PQRSTU is a translation of hexagon ABCDEF.
What is the length of line segment TS?

Mathematical Equivalence

Tags

2016 #4

MATH RESPONSE QUESTION

2 mins • 1 pt

Quadrilateral MNOP is reflected over a line and translated up, as shown.
What is the value of x, in degrees?

Mathematical Equivalence

Tags

2016 #8

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Parallelograms ABCD and WXYZ are shown.
What transformation is used to show that the parallelograms are similar?

dilation

reflection

rotation

translation

Tags

2016 #9

MATH RESPONSE QUESTION

2 mins • 1 pt

Two quadrilaterals are shown, where quadrilateral EFGH is created by reflecting quadrilateral ABCD across a line and then rotating it.
What is the value of x, in units?

Mathematical Equivalence

Tags

2017 #1

MATH RESPONSE QUESTION

2 mins • 1 pt

Quadrilateral ABCD is shown.
ABCD is translated to create quadrilateral EFGH. What is the length, in units, of side EH?

Mathematical Equivalence

Tags

2017 #7

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Two triangles, △JKL and △MNO, are shown.
Which transformation can be applied to △JKL to create △MNO?

a clockwise rotation of 180° about the origin

a clockwise rotation of 90° about the origin

a reflection across the line y = x

a reflection across the x-axis

Tags

2017 #11

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What transformations can be used to show that ΔLMN is similar to ΔPQR?

dilation, reflection

reflection, translation

rotation, dilation

translation, rotation

Tags

2017 #20

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Chapter 2 Transformations OST Review (8th Grade)

A company created a logo using two hexagons as shown. Hexagon PQRSTU is a translation of hexagon ABCDEF.
What is the length of line segment TS?

Quadrilateral MNOP is reflected over a line and translated up, as shown.
What is the value of x, in degrees?

Parallelograms ABCD and WXYZ are shown.
What transformation is used to show that the parallelograms are similar?

Two quadrilaterals are shown, where quadrilateral EFGH is created by reflecting quadrilateral ABCD across a line and then rotating it.
What is the value of x, in units?

Quadrilateral ABCD is shown.
ABCD is translated to create quadrilateral EFGH. What is the length, in units, of side EH?

Two triangles, △JKL and △MNO, are shown.
Which transformation can be applied to △JKL to create △MNO?

What transformations can be used to show that ΔLMN is similar to ΔPQR?

Pentagon A is rotated 180° about its center and then translated to create pentagon B.
What is the value of x?

Triangle QRS is located on the coordinate plane, where vertex Q is located at the point (a, b).
The triangle is reflected across the x-axis and then translated 2 units to the right to create triangle TUV.
What is the expression for the x-coordinate of T?

An architect designs floor plans for two houses. The floor plans for the houses are shown.
House B is a reflection of House A.
What is the value of x?

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Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Chapter 2 Transformations OST Review (8th Grade)

A company created a logo using two hexagons as shown. Hexagon PQRSTU is a translation of hexagon ABCDEF. What is the length of line segment TS?

Quadrilateral MNOP is reflected over a line and translated up, as shown. What is the value of x, in degrees?

Parallelograms ABCD and WXYZ are shown. What transformation is used to show that the parallelograms are similar?

Two quadrilaterals are shown, where quadrilateral EFGH is created by reflecting quadrilateral ABCD across a line and then rotating it.What is the value of x, in units?

Quadrilateral ABCD is shown. ABCD is translated to create quadrilateral EFGH. What is the length, in units, of side EH?

Two triangles, △JKL and △MNO, are shown. Which transformation can be applied to △JKL to create △MNO?

What transformations can be used to show that ΔLMN is similar to ΔPQR?

Pentagon A is rotated 180° about its center and then translated to create pentagon B. What is the value of x?

Triangle QRS is located on the coordinate plane, where vertex Q is located at the point (a, b). The triangle is reflected across the x-axis and then translated 2 units to the right to create triangle TUV. What is the expression for the x-coordinate of T?

An architect designs floor plans for two houses. The floor plans for the houses are shown. House B is a reflection of House A. What is the value of x?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

A company created a logo using two hexagons as shown. Hexagon PQRSTU is a translation of hexagon ABCDEF.
What is the length of line segment TS?

Quadrilateral MNOP is reflected over a line and translated up, as shown.
What is the value of x, in degrees?

Parallelograms ABCD and WXYZ are shown.
What transformation is used to show that the parallelograms are similar?

Two quadrilaterals are shown, where quadrilateral EFGH is created by reflecting quadrilateral ABCD across a line and then rotating it.
What is the value of x, in units?

Quadrilateral ABCD is shown.
ABCD is translated to create quadrilateral EFGH. What is the length, in units, of side EH?

Two triangles, △JKL and △MNO, are shown.
Which transformation can be applied to △JKL to create △MNO?

Pentagon A is rotated 180° about its center and then translated to create pentagon B.
What is the value of x?

Triangle QRS is located on the coordinate plane, where vertex Q is located at the point (a, b).
The triangle is reflected across the x-axis and then translated 2 units to the right to create triangle TUV.
What is the expression for the x-coordinate of T?

An architect designs floor plans for two houses. The floor plans for the houses are shown.
House B is a reflection of House A.
What is the value of x?