Skills Practice Lessons 1 & 2

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Mathematics

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8th Grade

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Practice Problem

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Medium

Nicole Manning

Used 3+ times

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1 Slide • 35 Questions

Skills Practice Lessons 1&2

By Nicole Manning

Multiple Choice

The coordinates of the point P(8, 8) under dilation about the origin is P'(4, 4).

What is the scale factor of the dilation?

$\frac{1}{2}$

$\frac{1}{4}$

Multiple Choice

The △ABC is dilated to △A'B'C' as shown in the figure below.

What is the scale factor?

$\frac{1}{3}$

Multiple Choice

What is the scale factor when a dilation is performed on rectangle EFGH to create rectangle E'F'G'H' ?

$\frac{1}{2}$

$\frac{1}{3}$

Multiple Choice

Is the transformation shown below a dilation?

Yes

Multiple Choice

Which image shows a dilation of triangle ABC using a scale factor of $\frac{1}{2}$ ?

Multiple Choice

Identify which image can be created when triangle ABC is dilated by a scale factor of $\frac{1}{3}$ .

Multiple Choice

Identify if the dilation will enlarge or reduce.

Enlarge

Reduce

Multiple Choice

Identify if the dilation will enlarge or reduce.

Enlarge

Reduce

Multiple Choice

Identify if the dilation will enlarge or reduce.

Enlarge

Reduce

Multiple Choice

Identify if the dilation will enlarge or reduce.

Enlarge

Reduce

Multiple Choice

Identify if the dilation will enlarge or reduce.

Enlarge

Reduce

Multiple Choice

Identify if the dilation will enlarge or reduce.

Enlarge

Reduce

Multiple Choice

The triangles in each pair are similar. Identify the congruent corresponding angles of each triangle.

∠A ≅ ∠A'

∠A ≅ ∠B'

∠A ≅ ∠P

∠A ≅ ∠C'

∠A ≅ ∠ABC'

Multiple Choice

The triangles in each pair are similar. Identify the ratios to identify the proportional sides of each triangle.

$\frac{AB}{A'B'}=\frac{BC}{B'C'}=\frac{CA}{C'A'}$

$\frac{AB'}{A'B}=\frac{BC'}{B'C'}=\frac{CA'}{C'A'}$

$\frac{AC}{A'B'}=\frac{BA}{B'C'}=\frac{CA}{C'A'}$

Multiple Choice

The triangles in each pair are similar. Identify the congruent corresponding angles of each triangle.

∠E ≅ ∠F'

∠D ≅ ∠D'

∠F ≅ ∠P

∠F ≅ ∠E'

∠D ≅ ∠DEF'

Multiple Choice

The triangles in each pair are similar. Identify the ratios to identify the proportional sides of each triangle.

$\frac{D'E'}{E'F'}=\frac{F'D'}{EF}=\frac{FD}{DE'}$

$\frac{DE}{D'E'}=\frac{EF}{E'F'}=\frac{FD}{F'D'}$

$\frac{EF'}{D'F}=\frac{ED'}{E'D'}=\frac{EF'}{D'F'}$

Multiple Choice

The triangles in each pair are similar. Identify the congruent corresponding angles of each triangle.

∠A ≅ ∠E

∠C ≅ ∠E

∠A ≅ ∠P

∠B ≅ ∠E

∠B ≅ ∠DEF

Multiple Choice

The triangles in each pair are similar. Identify the ratios to identify the proportional sides of each triangle.

$\frac{AB}{EF}=\frac{BC}{EF}=\frac{CA}{DE}$

$\frac{AB}{DF}=\frac{BC}{EF}=\frac{CA}{FD}$

$\frac{FD}{BC}=\frac{AD}{CF}=\frac{FD}{EF}$

Multiple Select

The triangles in each pair are similar. Identify the congruent corresponding angles of each triangle.

(select three answers)

∠F ≅ ∠X

∠G ≅ ∠Y

∠H ≅ ∠Z

∠F ≅ ∠Z

∠G ≅ ∠Z

Multiple Select

The triangles in each pair are similar. Identify the ratios to identify the proportional sides of each triangle.

(select three answers)

$\frac{FG}{XY}$

$\frac{GH}{YZ}$

$\frac{HF}{ZX}$

$\frac{FH}{ZY}$

$\frac{GY}{HX}$

Multiple Select

The triangles in each pair are similar. Identify the congruent corresponding angles of each triangle.

∆ABC ∼ ∆MNP

(select three answers)

∠A ≅ ∠M

∠B ≅ ∠N

∠C ≅ ∠P

∠B ≅ ∠P

∠A ≅ ∠B

Multiple Select

The triangles in each pair are similar. Identify the ratios to identify the proportional sides of each triangle.

∆ABC ∼ ∆MNP

(select three answers)

$\frac{AB}{MN}$

$\frac{BC}{NP}$

$\frac{CA}{PM}$

$\frac{AN}{PM}$

$\frac{MN}{BC}$

Multiple Select

These quadrilaterals are similar. Identify the congruent corresponding angles.

Quadrilateral RSTU ∼ Quadrilateral WXYZ

(select all correct answers)

∠R ≅ ∠Z

∠S ≅ ∠X

∠T ≅ ∠Y

∠U ≅ ∠Z

∠R ≅ ∠W

Multiple Select

These quadrilaterals are similar. Identify the ratios to identify the proportional sides.

Quadrilateral RSTU ∼ Quadrilateral WXYZ

(select all correct answers)

$\frac{RS}{WX}$

$\frac{ST}{XY}$

$\frac{RT}{WZ}$

$\frac{TU}{YZ}$

$\frac{UR}{ZW}$

Multiple Select

The triangles in each pair are similar. Identify the congruent corresponding angles of each triangle.

∆XYZ ∼ ∆GHJ

(select all correct answers)

∠X ≅ ∠G

∠Y ≅ ∠H

∠X ≅ ∠H

∠Z ≅ ∠J

∠X ≅ ∠J

Multiple Select

The triangles in each pair are similar. Identify the ratios to identify the proportional sides of each triangle.

∆XYZ ∼ ∆GHJ

(select all correct answers)

$\frac{XY}{GH}$

$\frac{YZ}{HJ}$

$\frac{ZX}{JG}$

$\frac{XY}{GJ}$

$\frac{XZ}{JH}$

Multiple Select

These pentagons are similar. Identify the congruent corresponding angles.

(select all correct answers)

∠K ≅ ∠R

∠L ≅ ∠S

∠M ≅ ∠T

∠O ≅ ∠U

∠N ≅ ∠V

Multiple Select

These pentagons are similar. Identify the ratios to identify the proportional sides.

(select all correct answers)

$\frac{OK}{TU}$

$\frac{LM}{ST}$

$\frac{MN}{TU}$

$\frac{NO}{UV}$

$\frac{OK}{RS}$

Multiple Choice

A flag is represented by the coordinates A(3, 9), B ( 15, 9 ) , C ( 15, 3 ) , and D ( 3, 3 ) . Suppose you were to dilate the figure by a scale factor of   $\frac{1}{3}$ using the origin as the center of dilation.

What are the coordinates for angle A' of the dilated figure?

A' (1, 3)

A' (1, 9)

A' (3, 3)

A' (9, 27)

Multiple Choice

What are the coordinates for angle B' of the dilated figure?

B' (5, 3)

B' (5, 9)

B' (15, 3)

B' (45, 27)

Multiple Choice

Is the image congruent or similar to the pre-image?

Congruent

Similar

Open Ended

How does dilating a figure affect it's perimeter?

Type response here

Open Ended

How does dilating a figure affect it's area?

Type response here

Multiple Choice

Does dilating an image create an image congruent to the pre-image?

Yes

Multiple Choice

Does dilating an image create an image similar to the pre-image?

Yes

Skills Practice Lessons 1&2

By Nicole Manning

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Skills Practice Lessons 1 & 2