### All ISEE Upper Level Math Resources

## Example Questions

### Example Question #51 : Geometry

is a right angle; , .

Which is the greater quantity?

(a)

(b)

**Possible Answers:**

(b) is greater.

It is impossible to tell from the information given.

(a) and (b) are equal.

(a) is greater.

**Correct answer:**

(a) and (b) are equal.

Explanation:

. Corresponding angles of similar triangles are congruent, so since is a right angle, so is .

The hypotenuse of is twice as long as leg ; by the Theorem, . Again, by similiarity,

.

### All ISEE Upper Level Math Resources

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