Calculating whether quadrilaterals are similar

Practice Questions

GMAT Quantitative Reasoning › Calculating whether quadrilaterals are similar

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Trapezoid

Refer to the above Trapezoid . There exists Trapezoid such that

Trapezoid $ABCD \sim$ Trapezoid , and $\overline{EH}$ has length 60.

Give the length of $\overline{EF}$ .

Which of the following dimensions would a rectangle need to have in order to be similar to one with a length of and a width of ?

Trapezoid

Refer to the above Trapezoid . There exists Trapezoid such that

Trapezoid $ABCD \sim$ Trapezoid , and $\overline{EF}$ has length 66.

To the nearest whole, give the area of Trapezoid .

Rhombus $RHOM \sim$ Rhombus . Rhombus has perimeter 80; Rhombus has perimeter 180; .

Find the length of diagonal $\overline{SP}$ .

In Quadrilateral , $\overline{KI} \cong \overline{KE}$ , $\overline{TI} \cong \overline{TE}$ , $m \angle K = 60^{\circ }$ , and $\angle T$ is a right angle; .

There exists Quadrilateral such that Quadrilateral $KITE \sim$ Quadrilateral , and .

Give the length of $\overline{LF}$ .

Rhombus $RHOM \sim$ Rhombus . ; Rhombus has area 90; Rhombus has area 360. What is the length of diagonal $\overline{IN}$ ?

Rhombus $RHOM \sim$ Rhombus . $m \angle R = 60^{\circ }$ ; ; .

Give the ratio of the area of Rhombus to that of Rhombus .

In Quadrilateral , $\overline{KI} \cong \overline{KE}$ , $\overline{TI} \cong \overline{TE}$ , $m \angle K = 60^{\circ }$ , $\angle T$ is a right angle.

There exists Quadrilateral such that Quadrilateral $KITE \sim$ Quadrilateral , and .

Which of the following is true about the areas of the two quadrilaterals?

In Quadrilateral , $\overline{KI} \cong \overline{KE}$ , $\overline{TI} \cong \overline{TE}$ , $m \angle K = 60^{\circ }$ , $\angle T$ is a right angle, and diagonal $\overline{I E}$ has length 24.