​Skills Practice Lessons 1 & 2

​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?

• 4

• 2

• $$\frac{1}{2}$$

• $$\frac{1}{4}$$

Multiple Choice

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

What is the scale factor?

• 4

• 3

• $$\frac{1}{3}$$

Multiple Choice

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

• 2

• 3

• $$\frac{1}{2}$$

• $$\frac{1}{3}$$

Multiple Choice

Is the transformation shown below a dilation?

• Yes

• No

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

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 B' of the dilated figure?

• B' (5, 3)

• B' (5, 9)

• B' (15, 3)

• B' (45, 27)

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.

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

• Congruent

• Similar

Open Ended

How does dilating a figure affect it's perimeter?

Open Ended

How does dilating a figure affect it's area?

Multiple Choice

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

• Yes

• No

Multiple Choice

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

• Yes

• No