Tell whether the two figures are congruent or similar.

Similar, because their sides are proportional.

Congruent, because their sides are the same.

Congruent, because their sides are proportional.

Similar, because their sides are the same.

They are not congruent or similar.

Tell whether the two figures are congruent or similar.

Congruent, because their sides are the same.

Congruent, because their sides are proportional.

Similar, because their sides are the same.

Similar, because their sides are proportional.

They are neither congruent or similar.

Triangle PQR is the image of triangle JKL after a dilation. Is the dilation an enlargement or a reduction? Explain.

Enlargement, because the image is larger than the original figure.

Enlargement, because the image is smaller than the original figure.

Reduction, because the image is smaller than the original figure.

Reduction, because the image is larger than the original figure.

Triangle DEF is similar to triangle ABC. What is a sequence of transformations that maps triangle ABC to triangle DEF?

Rotation then dilation with scale factor of 2

Rotation then dilation with scale factor of 0.5

Triangle DEF is similar to triangle ABC. What is a sequence of transformations that maps triangle ABC to triangle DEF?

Rotation then dilation with scale factor of 2

Rotation then dilation with scale factor of 0.5

What sequence of transformations did Tristan use to produce triangle A'B'C'?

a dilation using a scale factor of $$\frac{1}{2}$$ and then a reflection across the y-axis

a rotation 90° counterclockwise about the origin and then a translation 2 units up

a rotation 270° counterclockwise about the origin and then a translation 2 units down

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

Which sequence of transformations will prove that triangle PQR is congruent to P'Q'R'?

a reflection across the x-axis followed by a 90° clockwise rotation about the origin

a rotation of 180°clockwise about the origin

a reflection across the x-axis and then across the y-axis

a reflection across the y-axis followed by a 90° clockwise rotation about the origin

Which sequence of transformations shows that Figure 1 is congruent to Figure 2?

Figure 2 is obtained by reflecting Figure 1 across the y - axis and then translating it 2 units left and 8 units down.

Figure 2 is obtained by reflecting Figure 1 across the x - axis and then translating it 2 units right and 8 units up.

Figure 2 is obtained by reflecting Figure 1 across the x - axis and then translating it 2 units left and 8 down.

Figure 2 is obtained by reflecting Figure 1 across the y - axis and then translating it 2 units right and 8 units up.

What is the sequence of transformations Jason used to produce $$\Delta X$$

Rotate △XYZ counterclockwise 90° about the origin; translate 10 units down.

Rotate △XYZ clockwise 90° about the origin; translate 10 units down.

Rotate △XYZ clockwise 180° about the origin; translate 1 units up.

Rotate △XYZ counterclockwise 180° about the origin; translate 1 units up.

Which is a true statement?

Figure 1 is similar to Figure 2.

Figure 1 is congruent to Figure 2.

Figure 1 is both similar and congruent to Figure 2.

Figure 1 is neither similar nor congruent to Figure 2.

Select correct sequence.

180° clockwise rotation about the origin, reflection across x-axis, dilation of .5

90° clockwise rotation about the origin, reflection across x-axis, translate 1 unit down

90° clockwise rotation about the origin, reflection across x-axis, dilation of .5

reflection across y-axis, 90° clockwise rotation about the origin, dilation of .5

Are these triangles similar? How do you know?

They are not similar. The sides are not proportional.

They are not similar. We need angles to prove that triangles are similar.

The triangles are similar by SAS Triangle Similarity Theorem

The triangles are similar by SSS Triangle Similarity Theorem

Are the triangles similar? If so, write a similarity statement. If not, explain why not.

The triangles are similar by AA Triangle Similarity Theorem

Δ A B C ∼ Δ D E F \Delta ABC\ \sim\ \Delta DEF Δ A B C ∼ Δ D E F

The triangles are similar by SAS Triangle Similarity Theorem

Δ A C B ∼ Δ D E F \Delta ACB\ \sim\ \Delta DEF Δ A C B ∼ Δ D E F

Which of these rectangles are similar?

Only rectangles 1 and 3 are similar.

None of these are similar. Rectangles cannot be similar

All rectangles are similar, so Rectangles 1, 2, and 3 are similar.

Only rectangles 1 and 2 are similar.

Only rectangles 2 and 3 are similar.

Grade 7 quiz

Quiz

•

Mathematics

•

7th Grade

•

Practice Problem

•

Hard

•

CCSS

8.G.A.3, HSG.SRT.A.2, 8.G.A.2

+7

Standards-aligned

SAMUEL ASIBAH

Used 1+ times

FREE Resource

50 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is Dilation?

Dilation means to enlarge or reduce a shape

Dilation means to flip over a line

Dilation means two figures that look alike

Dilation means to make a shape smaller

Tags

CCSS.8.G.A.3

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

A triangle has vertices with coordinates A(2,0), B(3, -1) and C(-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of C'?

(1,-2)

(-6,-15)

(-2/3,-5/3)

(-5,-8)

Tags

CCSS.8.G.A.3

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Are these two figures congruent, similar or neither?

Congruent

Neither

Similar

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

State the coordinate of the image of point B (-10,-6) after a dilation with a scale factor of 1/2.

(5,3)

(20,12)

(-20,-12)

(-5,-3)

Tags

CCSS.8.G.A.3

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Choose the correct scale factor:

2.5

1.5

3.5

4

Tags

CCSS.7.G.A.1

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

How does a dilation change the angles of a polygon?

It changes by the scale factor.

Dilations do not change the angles.

It is impossible to answer this question. The angles change unpredictably.

The angles all change to larger angles.

Tags

CCSS.8.G.A.3

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

If two figures are similar, the corresponding sides are ______________.

equal

congruent

proportional

none of these

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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50 questions

What is Dilation?

A triangle has vertices with coordinates A(2,0), B(3, -1) and C(-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of C'?

Are these two figures congruent, similar or neither?

State the coordinate of the image of point B (-10,-6) after a dilation with a scale factor of 1/2.

Choose the correct scale factor:

How does a dilation change the angles of a polygon?

If two figures are similar, the corresponding sides are ______________.

The two triangles are similar. Solve for X.

Tell whether the two figures are congruent or similar.

Tell whether the two figures are congruent or similar.

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