# ISEE Upper Level Quantitative : How to find if triangles are congruent

## Example Questions

### Example Question #1 : How To Find If Triangles Are Congruent

Given  and  with

Which is the greater quantity?

(a)

(b)

It is impossible to tell from the information given.

(b) is greater.

(a) and (b) are equal.

(a) is greater.

It is impossible to tell from the information given.

Explanation:

Examine the diagram below, in which two triangles matching the given descriptions have been superimposed.

Note that  and . The two question marks need to be replaced by  and . No matter how you place these two points, . However, with one replacement, ; with the other replacement, . Therefore, the information given is insufficient to answer the question.

### Example Question #2 : How To Find If Triangles Are Congruent

Consider  and  with .

Which is the greater quantity?

(a)

(b)

(a) is greater.

(a) and (b) are equal.

It is impossible to tell from the information given.

(b) is greater.