Question

The two triangles below are similar. What is the similarity ratio of ΔABC to ΔDEF? (5 points) Triangle ABC is shown with AC measuring 8 and BC measuring 12. Triangle DEF is shown with side DF measuring 4.

Answer 1

I think the answer is 2:1

Answer 2

Answer:

The similarity  ratio  of triangle ABC to triangle DEF is 2:1.

Step-by-step explanation:

We are given two triangles are similar.

We have to find the similarity ratio

We are given that in triangle ABC

Measure of side AC=8 units

Measure of BC=12 units

We are given that in triangle DEF

Measure of side DF=5 units

We know that when two triangles are similar then ratio of corresponding sides of two triangles are equal.

Therefore, triangle ABC and triangle DEF are similar

Then $\frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}$

By definition of similarity

Therefore, we have $\frac{AC}{DF}=\frac{8}{4}$

$\frac{AC}{DF}=2$

Therefore ,the ratio of corresponding sides of similar triangles ABC and DEF=2:1.

Hence, the similarity ratio of triangle ABC to triangle DEF is 2:1.