ISEE Upper Level Quantitative : How to find the length of the side of a rectangle

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

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Example Questions

Example Question #299 : Plane Geometry

Parallelogram

Note: Figure NOT drawn to scale

The above figure shows Rhombus .

Which is the greater quantity?

(a) 

(b) 

Possible Answers:

It is impossible to determine which is greater from the information given

(b) is the greater quantity

(a) is the greater quantity

(a) and (b) are equal

Correct answer:

(a) and (b) are equal

Explanation:

The opposite sides of a parallelogram - a rhombus included - are congruent, so 

.

Also, Quadrilateral  form a rectangle; since  and , it follows that , and, similarly, . Therefore, , and

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