Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

i \can\ → similarity △abc ~ △def with a proportion ratio of 1:3. what i…

Question

i \can\ → similarity
△abc ~ △def with a proportion ratio of 1:3. what is the ratio of their perimeters?
a 1:3 c 1:6
b 1:9 d 2:9
38
© one stop teacher shop & © boom feeny math resources

Explanation:

Step1: Recall the property of similar triangles

For similar triangles, the ratio of their perimeters is equal to the ratio of their corresponding side lengths (proportion ratio).

Step2: Apply the property

Given the proportion ratio of \(\triangle ABC\) and \(\triangle DEF\) is \(1:3\). By the property of similar triangles, the ratio of their perimeters is also \(1:3\).

Answer:

A. \(1:3\)