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In the Exercises below, find the scale factor. Then list all pairs of congruent angles and write the ratios of the corresponding side lengths in a statement of proportionality.

In the Exercises below find the scale factor Then list all pairs of congruent angles and write the ratios of the corresponding side lengths in a statement of pr class=

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Answer:

8) scale factor: 3

angles Q & L, S & N, r & M

sides 10 x 3 = 30, 6 x 3 = 18, 13 x 3 = 39

9) scale factor: 0.4

angles B & F, C & G, D & H, A & E

sides 9 x 0.4 = 3.6, 7.5 x 0.4 = 3, 10 x 0.4 = 4, 12 x 0.4 = 4.8

The scale factor for part (8) is 3, angles Q & L, S & N, R & M, for part (9) is 0.4 and angles of pair are congruent B & F, C & G, D & H, A & E

What is a scale factor?

The ratio among comparable dimensions of an object and a model with that object, known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.

8)

Scale factor for the triangle LMN:

Let's suppose the scale factor is x

3x= 30 ⇒ x = 3

6x= 18  ⇒ x = 3

13x=39  ⇒ x = 3

So the scale factor is 3

Angles Q & L, S & N, R & M

39/13 = 30/10 = 18/6 = 3

9)

Scale factor for the triangle LMN:

Let's suppose the scale factor is y

12y= 4.8 ⇒ x = 0.4

9x= 3.6  ⇒ x = 0.4

10x=4  ⇒ x = 0.4

So the scale factor is 0.4

Angles  B & F, C & G, D & H, A & E

4.8/12 = 3.6/9 = 4/10 = 0.4

Thus, the scale factor for part (8) is 3, angles Q & L, S & N, R & M, for part (9) is 0.4 and angles of pair are congruent B & F, C & G, D & H, A & E

Learn more about the scale factor here:

brainly.com/question/22312172

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