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.

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:

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