Scale Factors with Polygons

Choose the correct scale factor:

• 2

• 3

• 1/3

• 1/2

Tags

CCSS.HSG.CO.A.2

If the scale factor is less than one, the new figure will be

• an enlargement

• a reduction

• a scale factor

• bigger

Tags

CCSS.8.G.A.3

If the scale factor is greater than one, the new figure will be

• reduction

• enlargement

• scale

• not proportional

Tags

CCSS.8.G.A.3

Are the two polygons similar? If not, explain why. (They are not drawn to scale, but you can assume all angles are 90°.)

• Yes

• No; Not enough information to tell

• No; 5 ⁄ 25 ≠ 6 ⁄ 10

• No; 5 ⁄ 25 ≠ 8 ⁄ 41

Tags

CCSS.HSG.SRT.B.5

• If a is greater than 1, the image of the polygon is congruent to the polygon.

• If a is between 0 and 1, the image of the polygon is congruent to the polygon.

• If a is greater than 1, the image of the polygon is smaller than the polygon.

• If a is between 0 and 1, the image of the polygon is smaller than the polygon.

Tags

CCSS.HSG.CO.A.2

• 
• 
• 
• 

Tags

CCSS.HSG.CO.A.2

If two polygons are SIMILAR, then the corresponding sides must be _____.

• Congruent

• Proportional

• Parallel

• similar

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Describe the similarity transformation that maps to (dilations have a center at the origin).

• a dilation with a scale factor of 2 followed by a translation 4 units right and 3 units down.

• a dilation with a scale factor of 1 / 2 followed by a translation 4 units left and 3 units up.

• Translation 4 units right and 3 units down followed by a dilation with a scale factor 2.

• Translation 4 units left and 3 units up followed by a dilation with a scale factor 1 / 2.

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

The two polygons are similar.

Find the value of x

Find the scale factor

Find the ratio of the perimeter.

Value of x: ____, Scale factor: ____, Ratio of perimeter: ____

How do you write the algebraic notation when the scale factor is 1/2?

• (x, y) −> (2x, 2y)

• (x, y) −> (1/2x, 1/2y)

• (x, y) −> (-2x, -2y)

• (x, y) −> (2x, 1/2y)

Tags

CCSS.8.G.A.3