### All SAT Math Resources

## Example Questions

### Example Question #3 : Quadrilaterals

The above figure shows Square . is the midpoint of ; is the midpoint of ; is the midpoint of . Construct .

. Which of the following expresses the length of in terms of ?

**Possible Answers:**

**Correct answer:**

Explanation:

Construct as shown in the diagram below:

Quadrilateral is a rectangle, so opposite sides are congruent. Therefore, .

Since is the midpoint of ,

Since is the midpoint of ,

.

is a right triangle, so, by the Pythagorean Theorem,

Substituting:

Apply the Product of Radicals and Quotient of Radicals Rules:

### All SAT Math Resources

SAT Math Tutors in Top Cities:

Atlanta SAT Math Tutors, Austin SAT Math Tutors, Boston SAT Math Tutors, Chicago SAT Math Tutors, Dallas Fort Worth SAT Math Tutors, Denver SAT Math Tutors, Houston SAT Math Tutors, Kansas City SAT Math Tutors, Los Angeles SAT Math Tutors, Miami SAT Math Tutors, New York City SAT Math Tutors, Philadelphia SAT Math Tutors, Phoenix SAT Math Tutors, San Diego SAT Math Tutors, San Francisco-Bay Area SAT Math Tutors, Seattle SAT Math Tutors, St. Louis SAT Math Tutors, Tucson SAT Math Tutors, Washington DC SAT Math Tutors
Popular Courses & Classes

GMAT Courses & Classes in Atlanta, GRE Courses & Classes in Chicago, Spanish Courses & Classes in Phoenix, Spanish Courses & Classes in Philadelphia, LSAT Courses & Classes in Philadelphia, GMAT Courses & Classes in Washington DC, Spanish Courses & Classes in Seattle, LSAT Courses & Classes in Phoenix, Spanish Courses & Classes in Washington DC, MCAT Courses & Classes in San Diego
Popular Test Prep

GMAT Test Prep in Washington DC, MCAT Test Prep in Dallas Fort Worth, GRE Test Prep in San Francisco-Bay Area, GMAT Test Prep in Houston, GMAT Test Prep in Atlanta, ACT Test Prep in Seattle, SSAT Test Prep in Atlanta, SSAT Test Prep in Houston, ACT Test Prep in New York City, SAT Test Prep in Atlanta