Similarity Review first

Presentation

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Mathematics

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8th - 11th Grade

•

Medium

•

CCSS

HSG.SRT.B.5, HSG.SRT.A.2, 6.RP.A.3B

Standards-aligned

Donna Cook-Lujano

Used 6+ times

FREE Resource

9 Slides • 15 Questions

Similarity Review first

Similar Figures

Figures are similar if:

Their corresponding angles are congruent

Their corresponding sides are proportional

AA~

Two pairs of corresponding angles are congruent.
If you don't have matching angles, they should add to 180.

Multiple Choice

Explain why the triangles are similar and solve for x.

SSS~, 5.3

AA~, 13.3

SAS~, 13.3

AA~5.3

SSS~

All three pairs of corresponding sides must have the same common ratio.

Multiple Choice

State the postulate used to show the triangles are similar.

AA~

SAS~

SSS~

none

Reading similarity statements

Stack the triangle names
Angles get 1 letter
Sides get 2 letters. Remember, they can be named backwards sometimes!!
Match the angles or sides vertically.

Writing Similarity statements given angles

Rank the angles of the first triangle smallest to largest.
Rank the angles of the second triangle smallest to largest.
Name in that order!

Writing similarity statements given sides

Rank the sides of each triangle from smallest to largest
Find the opposite angle of each side.
Name in that order!

Multiple Select

Which of the following is a correct similarity statement for the following triangles? Check all that apply.

$\Delta SRT\sim\Delta MLN$

$\Delta TSR\sim\Delta NML$

$\Delta TRS\sim\Delta LNM$

$\Delta RTS\sim\Delta NLM$

$\Delta STR\sim\Delta MNL$

Multiple Choice

In the figure, are the triangles similar? If so, what is the common ratio?

Not similar

Similar. Common ratio is 2.

Similar. Common ratio is 3.

Similar. Common ratio is 6.

SAS~

Two pairs of proportional sides
An INCLUDED congruent angle.
The angle must have both sides adjacent to it.

Multiple Select

In the figure shown, which TWO statements could prove that $\Delta ATL\sim\Delta BWI\$ by SAS~?

$\angle A\cong\angle B$

$\angle L\cong\angle I$

$\angle T\cong\angle L$

$\frac{AT}{BW}=\frac{WI}{TL}$

$\frac{AL}{BI}=\frac{TL}{WI}$

Multiple Choice

Are the two triangles similar? If so, what is the identity that proves it?

Yes. SAS~

Yes. AA~

Yes. SSS~

They are not similar.

Fill in the Blanks

In the following figure, $\Delta ORD\sim\Delta OKC$ . Determine the value of x.

Type answer...

Fill in the Blanks

Given that

\Delta PHF\ \sim\ \Delta RIC,\

m\angle P\ =\ 114\degree

m\angle C\ =\ 23\degree

Determine

m\angle H

Type answer...

Multiple Choice

Are these triangles similar?

State the reason

Yes, by AA~

Not similar

Yes by SAS~

Yes by SSS~

Multiple Choice

A flag stick on a golf course that is 6 1/2 feet tall casts a 9 3/4 foot shadow while a golfer nearby casts a 8 3/4 foot shadow. How tall is the golfer?

5 foot, 8 inches

5 foot, 9 inches

5 foot, 10 inches

5 foot, 11 inches

Multiple Choice

The Gateway Arch in Missouri casts a 120 foot shadow while a 16 foot pole casts a 4 foot shadow. How tall is the Arch?

30 feet

360 feet

480 feet

600 feet

Multiple Choice

Find the missing side in the similar figure above.

27.6

25.2

28.8

Multiple Choice

Which dimensions would produce a picture frame similar to the one shown above?

9 in by 12 in

4 in by 5 in

6 in by 8 in

12 in by 18 in

Multiple Choice

Based on the drawing, which of the following statements is true?

The triangles are similar because the lengths of the sides are congruent.

The triangles are not similar because the corresponding angles are not congruent.

The triangles are similar because the corresponding angles are congruent.

Can not determine if the triangles are similar because the scale factor is unknown.

Multiple Choice

State the postulate used to show the triangles are similar.

AA~

SAS~

SSS~

none

Similarity Review first

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