ISEE Upper Level Quantitative : How to find if two triangles are similar

Study concepts, example questions & explanations for ISEE Upper Level Quantitative

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Example Questions

Example Question #1 : How To Find If Two Triangles Are Similar

Which is the greater quantity?

(a) 

(b) 

Possible Answers:

It is impossible to tell from the information given

(a) and (b) are equal

(a) is greater

(b) is greater

Correct answer:

(a) and (b) are equal

Explanation:

, so by definition, the sides are in proportion.

(a) 

Substitute and solve for :

 

(b) 

Substitute and solve for :

 

The two are equal.

 

Example Question #2 : How To Find If Two Triangles Are Similar

Which is the greater quantity?

(a) 

(b) 

Possible Answers:

It is impossible to tell from the information given.

(a) is greater.

(b) is greater.

(a) and (b) are equal.

Correct answer:

(a) is greater.

Explanation:

, so by definition, the sides are in proportion. Therefore, 

.

Substitute:

, so (a) is greater.

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