Proportions with Similar Shapes

You can decide if two figures are similar by doing what?

• Adding all the sides

• Making proportions

• Looking closely

• Checking with a friend

Triangle HJK is similar to triangle LMN. Which proportion can be used to calculate the length of LM in centimeters?

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Triangle ABC is similar to triangle DEF. Which proportion can be used to find the length of DE in centimeters?

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Figure JKLM is similar to figure PQRS. Which proportion must be true for these figures?

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Quadrilateral PQMN is similar to quadrilateral WXYZ. Match the congruent angles M, N, Q and the angle measures of X, and Y

• 65 degrees

• Measure of <Y

• 115 degrees

• Measure of <X

• <Y

• Angle congruent to < M

• <X

• Angle congruent to < Q

• <Z

• Angle congruent to < N

Quadrilateral PQRT is similar to UVWX. Which statement about this quadrilaterals must be true?

• Angle PQR is congruent with angle UVW

• Angle TPQ is congruent with angle VWX

Are these shapes similar figures?

• Yes

• No

Write a proportion and then solve for x.

• x = 16.6

• x = 7.6

• x = 10.6

• x = 15

The pair of figures is similar. Find the missing side.

• 49

• 56

• 63

• 108

What happens when the original and new figure are switched? The SCALE FACTOR...

• becomes the opposite sign (-/+).

• becomes bigger.

• becomes the reciprocal (flips).

• becomes smaller.