Similarity Statements and Scale Factors

Presentation

•

Mathematics

•

10th Grade

•

Hard

Joseph Anderson

FREE Resource

6 Slides • 10 Questions

Similarity

Some text here about the topic of discussion

Some text here about the topic of discussion.

Take a look at these 2 triangles

Open Ended

Which side corresponds to side CB?

Type response here

SCALE FACTOR

Scale factor: The amount each side of a figure is multiplied by when the figure is proportionally enlarged or reduced in size.

Some text here about the topic of discussion

Open Ended

What is the scale factor from the small "C" to the big "C"?

Type response here

Proportion

An equation of two equivalent fractions

You can solve them by cross multiplying.

Some text here about the topic of discussion

Multiple Choice

Which equation would be the correct proportion to set up?

$\frac{8}{x}=\frac{72}{6}$

$\frac{x}{6}=\frac{72}{8}$

$\frac{x}{8}=\frac{72}{6}$

$\frac{6}{72}=\frac{x}{8}$

Open Ended

Solve the proportion for this problem. Use cross multiplication. Write your answer as x=#

Type response here

Some text here about the topic of discussion.

Rochida drew ΔABC below and then dilated through point A to create ΔAB′C′.

These two triangles are difficult to compare, so Rochida redrew them separately.

Draw

Write a proportion (fraction = fraction)

Similarity Conditions

Angle Angle

Side-Angle-Side

Side-Side-Side

If you have 2 angles that are the same, triangles are similar.

If you have 2 sides that are proportional and the angle between them is congruent, triangles are similar.

If you have 3 sides that are proportional, triangles are similar.

Some text here about the topic of discussion

Multiple Choice

What is the similarity statement for the triangle pair?

ΔXYZ is similar to ΔNEW

ΔXZY is similar to ΔNWE

ΔZYX is similar to ΔENW

ΔYZX is similar to ΔNWE

Multiple Choice

Is Triangle ABC similar to Triangle DEF?

Yes, by SSS

Yes, by SAS

No, because the corresponding sides are not proportional.

No, because we don't know if the included angles are congruent.

Multiple Choice

Determine if Triangle VEZ is similar to Triangle MAG

No, because all of the angles are congruent.

Yes, by AA

No, because the sides are not proportional.

Yes, by SAS

Multiple Choice

State if the triangles in each pair are similar. If so, state how you know they are similar.

Yes, AA Similarity

Yes, SSS Similarity

Yes, SAS Similarity

Not Similar

Multiple Choice

State if the triangles in each pair are similar. If so, state how you know they are similar.

Yes, AA Similarity

Yes, SSS Similarity

Yes, SAS Similarity

Not Similar

Similarity

Some text here about the topic of discussion

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Similarity Statements and Scale Factors

​Similarity

SCALE FACTOR

Proportion

Similarity Conditions

​Similarity

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