Properties of Dilations

​THE CLASS WILL START IN...

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,​ 2024.

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Open Ended

What do you prefer: A BIG BRAIN or a A BIG HEART? Why is that so?

Challenge #1: Math Review
Challenge #2: Solving Math
Challenge #3: Do the GreatMinds!
Challenge #4: Make it to Top 10!

Today's challenge:

Multiple Choice

What is the second challenge for today?

• Solving Math

• Reading Math

• Math Review

• Greatminds

Multiple Choice

What is the first challenge for today?

• Solving Math

• Reading Math

• Math Review

• Greatminds

Challenge #1:
MATH REVIEW

Challenge #1:
MATH REVIEW

Open Ended

Differentiate similarity from congruence.

Multiple Choice

When two figures are congruent, you can...

• map them.

• dump them.

• kick them.

• multiply them.

Multiple Choice

It is used to make the figure smaller or larger by multiplying it to the original size.

• scale factor

• scale

• factor

• similar

Multiple Choice

If the scale factor is between 0 and 1, the image is smaller than the original figure, meaning the figure is _________.

• reduced

• enlarged

• doesn't change

• huh?

Multiple Choice

If the scale factor is greater than 1, the image is larger than the original figure, meaning the figure is _________.

• reduced

• enlarged

• doesn't change at all

• huh?

Multiple Choice

If the scale factor is 1, the figure stays the same size, which means it _______________.

• reduced

• enlarged

• doesn't change at all

• huh?

Multiple Choice

The scale factor is between 0 and 1.

Which expression represents this statement?

• r > 1

• 0 < r < 1

• r = 1

• r < 1

Multiple Choice

Segment OP is dilated from center O with scale factor r, resulting in segment OP′. If the scale factor is 0 < r < 1.

WHAT HAPPEN TO THE SEGMENT?

• Segment OP' is shorter than segment OP.

• Segment OP' is equal in length segment OP. to

• Segment OP' is longer than segment OP.

Multiple Choice

The scale factor is greater than 1.

Which expression represents this statement?

• r > 1

• 0 < r < 1

• r = 1

• r < 1

Multiple Choice

Segment OP is dilated from center O with scale factor r, resulting in segment OP′. If the scale factor is r > 1.

WHAT HAPPEN TO THE SEGMENT?

• Segment OP' is shorter than segment OP.

• Segment OP' is equal in length segment OP. to

• Segment OP' is longer than segment OP.

Multiple Choice

The scale factor is 1.

Which expression represents this statement?

• r > 1

• 0 < r < 1

• r = 1

• r < 1

Multiple Choice

Segment OP is dilated from center O with scale factor r, resulting in segment OP′. If the scale factor is r = 1.

WHAT HAPPEN TO THE SEGMENT?

• Segment OP' is shorter than segment OP.

• Segment OP' is equal in length segment OP. to

• Segment OP' is longer than segment OP.

Multiple Choice

Dilations map lines to lines.

• TRUE

• FALSE

• IT DEPENDS.

• MAYBE

Multiple Choice

Dilations map lines to rays

• TRUE

• FALSE

• IT DEPENDS.

• MAYBE

Multiple Choice

Dilations map rays to segments.

• TRUE

• FALSE

• IT DEPENDS.

• MAYBE

Multiple Choice

Dilations map rays to rays.

• TRUE

• FALSE

• IT DEPENDS.

• MAYBE

Multiple Choice

Dilations map segments to lines.

• TRUE

• FALSE

• IT DEPENDS.

• MAYBE

Multiple Choice

Dilations map segments to segments.

• TRUE

• FALSE

• IT DEPENDS.

• MAYBE

Multiple Choice

Dilations map angles to rays.

• TRUE

• FALSE

• IT DEPENDS.

• MAYBE

Multiple Choice

Dilations map angles to angles of the same measure.

• TRUE

• FALSE

• IT DEPENDS.

• MAYBE

Multiple Choice

Look at the given figure. Observe the pre-image and image. What kind of dilation is being shown?

• Reduction/Shrinking

• Enlargement/Magnify

• I can't tell.

• It is not a dilation.

Multiple Choice

Look at the given figure. Observe the pre-image and image. What kind of dilation is being shown?

• Reduction/Shrinking

• Enlargement/Magnify

• I can't tell.

• It is not a dilation.

Challenge #2:
SOLVING MATH

Multiple Choice

Which one is the symbol for greater than?

• $$>$$

• $$<$$

• $$\ge$$

• $$\le$$

Multiple Choice

Which one is the symbol for less than?

• $$>$$

• $$<$$

• $$\ge$$

• $$\le$$

Multiple Select

Choose all the numbers that are greater than 1.

• 1.5

• $$\frac{7}{4}$$

• 0.7

• $$\frac{3}{5}$$

• 3.4

Multiple Choice

$$3.2<1$$

• True

• False

• Huh?

• Maybe

Multiple Select

Choose all the numbers that are less than 1.

• $$\frac{1}{2}$$

• $$\frac{9}{4}$$

• $$\frac{2}{7}$$

• $$\frac{8}{5}$$

• $$\frac{3}{9}$$

Multiple Choice

Given that segment OP is 7 inches.

If segment OP is dilated by a scale factor r = 3, what is the length of segment OP'

• |OP'| = 21

  because we need to multiply 7 and 3.

• |OP'| = 10

  because we need to multiply 7 and 3.

• |OP'| = 10

  because we need to add 7 and 3.

• |OP'| = 21

  because we need to add 7 and 3.

Multiple Choice

Which is true about the scale factor when a figure is enlarged?

• The scale factor is zero.

• The scale factor is 1.

• The scale factor is larger than 1.

• The scale factor is smaller than 1.

Multiple Choice

Triangle ABC is dilated to produce triangle A'B'C' with scale factor $$\frac{3}{4}$$ .

Which describes the relationship between the two triangles?

• Triangle A'B'C' is an enlargement of triangle ABC

• Triangle A'B'C' is a reduction of triangle ABC

• Triangle A'B'C' is a mirror image of triangle ABC

Multiple Select

Which scale factors would enlarge an image?

• $$\frac{3}{2}$$

• $$\frac{1}{2}$$

• $$3.5$$

• $$\frac{2}{1}$$

• 5

Multiple Select

Which scale factors shrink an image?

• $$0.5$$

• $$\frac{3}{4}$$

• $$1$$

• $$\frac{2}{1}$$

• $$\frac{3}{2}$$

Multiple Choice

Under a dilation, which scale factor will result in a congruent image?

• -2

• 0

• 1

• ¹/₂

Multiple Choice

What is the scale factor from the small shape to the big shape?

• 1/2
• 7/3
• 2
• 10/3

Multiple Choice

What is the scale factor from the small shape to the big shape?

• 1

• 3

• 1/3

• 8

Multiple Choice

What is the scale factor from the big shape to the small shape?

• 1

• 2

• 1/2

• -2

Multiple Choice

What is the scale factor from ΔDEF to ΔABC?

• 2
• 3/2
• 2/3
• 1/2

Multiple Choice

What is the scale factor from ΔABC to ΔDEF?

• 2
• 3/2
• 2/3
• 1/2

Multiple Choice

Did the image enlarge, reduce or none of the above?

• Enlarge

• Reduce

• None of the above

Multiple Choice

A dilation produces a congruent figure.

• True
• False
• Really?

Multiple Choice

The __________ is the ratio of the length of the new figure to the corresponding length on the old figure.

• reduction

• enlargement

• scale factor

• center of dilation

Multiple Choice

A dilation is which of the following: 

• An enlargement
• A reduction
• Either an enlargement or a reduction
• Neither an enlargement or a reduction

Open Ended

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Write them down here.

Poll

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Challenge #3: Go to GreatMinds!

You can go to your GREATMINDS and finish the posted Pre-Assessment on green!