Review for Quiz in Integrated II (Dilations and Similarity)

Review for Quiz in Integrated II (Dilations and Similarity)

by Dawn Hatch

Multiple Choice

What do you know about the sides of these triangles?

• The sides are congruent

• The sides are proportional with a scale factor of 2

• The sides are proportional with a scale factor of 4

• We don't know anything about the sides

​When triangles are similar, their sides are always in proportion and the scale factor is 8/4 or 2

Multiple Choice

What do you know about the angles in these triangles?

• The angles are proportional with a scale factor of 2

• The corresponding angles are congruent

• The angles are 30, 60 and 90

• We don't know anything about the angles

​Corresponding angles in similar triangles must match exactly, so they are congruent

Multiple Choice

Is Triangle SPQ ~ to Triangle SRT?

• yes by SAS~

• No

• Yes by AA~

• Yes by SSS~

​Yes, by SAS~: Angle S is equal in both triangles and the sides are in proportion

Multiple Choice

Are these triangles similar?

• No

• Yes by AA~

• Yes by SAS~

• Yes by SSS~

​AA~: The vertical angles at Y are congruent so with the 59 degree angles, we have two angles congruent

Multiple Choice

Are these triangles similar?

• No

• Yes by SSS~

• Yes by SAS~

• Yes by AA~

Multiple Choice

What is the coordinate of the image of C if you use the dilation, D_-2?

{scale of graph is by 1's}

• C'(-2,-1)

• C'(-4,-2)

• C'(4,2)

• C'(2,4)

Pre-image is C(-2,-1). If it is dilated by -2, multiply both numbers by -2.

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Image is C'(4,2

Multiple Choice

What is the image of C if it is dilated by

D_1/2?

• C'(-2,-1)

• C'(-1,-0.5)

• C'(1,0.5)

• C'(-4,-2)

​C(-2,-1) ------dilated by 1/2 ------C'(-1, -0.5)

Multiple Choice

Draw two right triangles, one larger than the other. Label the larger one as ABC with C as the right angle. Label the smaller one to match the statement

ABC ~ DEF

If Angle E is 22 degrees, then what is the measure of Angle A?

• 22 degrees

• 90 degrees

• 68 degrees

• This is not solvable

Multiple Choice

If these triangles are similar, solve for x

• x = 21

• x = 35

• x = 43.6

• x = 16.7

​13 = 21 13*x = 27*21.....etc

​27 X

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Multiple Choice

Redraw these similar triangles as two separate triangles side by side

How long is the bottom of the larger triangle?

• 7

• 5

• 12

​The bottom would be 12 (7+5)

Multiple Choice

Use a proportion to solve for X

• x = 5.7

• x = 3.6

• x = 3.3

• x =

​You now have an open-note quiz in Moodle.....You Got This!

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​There isn't any homework over the Thanksgiving Break but if you have Red Things, you should do them.