50 POINTS! PLEASE HELP ME! ILL GIVE BRAINLIEST!
2. Please complete both Parts A, B, & C below.

a. These triangles are proportional. Identify the corresponding sides for all three sides.

b. Set up fractions with your corresponding sides to show proportionality. Make sure to show your work for all three side pairs demonstrating that the fractions are proportional.

c. Are the triangles similar? If so explain why. If not, explain why not. Your work from Part A & B may help with this.

3 PARTS! Answer all or get deleted

b. Set up fractions with your corresponding sides to show proportionality. Make sure to show your work for all three side pairs demonstrating that the fractions are proportional.

Fraction: 3/4

40 x3/4 = 30

50 x 3/4 = 37.5

60 x 3/4 = 45

c. Are the triangles similar? If so explain why. If not, explain why not. Your work from Part A & B may help with this.

The triangles are similar

The Side-Side-Side Similarity Theorem states: “If all three corresponding sides of two triangles are proportional, then the triangles are similar".

mschaefer24 mschaefer24 · Answer 2 · 2022-04-15T22:57:34+02:00

Answer:

A. Sides AB, BC, and CA are proportional to YZ, ZX, and XY, respectively.

B. 3/4(AB) = YZ, 3/4(BC) = ZX, 3/4(CA) = XY

3/4 x 40 = 30 3/4 x 60 = 45 3/4 x 50 = 37.5

C. Yes, by SSS

Step-by-step explanation:

a. and b. are self-explanatory, but I will explain c.

When testing if two triangles are similar, they have to have the same except for scaling and flipping or turning. You know triangles are the same if all three sides are equal (SSS), two angles are equal (AA), or if there are two equal sides with an equal angle between them (SAS).

Since similar tringles can be scaled, these rules turn into if all three sides are proportional (SSS), two angles are equal (AA), or if there are two proportional sides with an equal angle between them (SAS).

These two triangles have proportional sides, so SSS applies and they are similar.