DSQ: Calculating whether quadrilaterals are similar

Practice Questions

GMAT Quantitative Reasoning › DSQ: Calculating whether quadrilaterals are similar

Questions

9

1

What is the perimeter of Rhombus ?

Statement 1:

Statement 2:

2

True or false: Rhombus $ABCD \sim$ Rhombus .

Statement 1: $\angle A \cong \angle E$

Statement 2: $\frac{AC}{EG} = \frac{BD}{FH}$

3

Isosceles Trapezoid has bases $\overline{TR}$ and $\overline{AP}$ .

Isosceles Trapezoid has bases $\overline{US}$ and $\overline{BQ}$ .

True or false:

Trapezoid $TRAP \sim$ Trapezoid

Statement 1: $\angle T \cong \angle U$

Statement 2: $\angle A \cong \angle B$

4

Isosceles Trapezoid has bases $\overline{TR}$ and $\overline{AP}$ .

Isosceles Trapezoid has bases $\overline{US}$ and $\overline{BQ}$ .

True or false:

Trapezoid $TRAP \sim$ Trapezoid

Statement 1: $\angle T$ and $\angle S$ are both $120^{\circ}$ angles.

Statement 2: and

5

True or false: Rhombus $RHOM \sim$ Rhombus .

Statement 1: $\angle R$ and $\angle I$ are both $60^{\circ }$ angles.

Statement 2: The area of Rhombus is four times that of Rhombus .

6

True or false: Rhombus $RHOM \sim$ Rhombus .

Statement 1: $\angle R \cong \angle I$

Statement 2: $\angle R \cong \angle M$

7

Determine if rectangles and are similar.

I) has a perimeter of 16 units and side is 3 units long.

II) has area of 44 units and side is 6 units long.

8

Isosceles Trapezoid has bases $\overline{TR}$ and $\overline{AP}$ .

Isosceles Trapezoid has bases $\overline{US}$ and $\overline{BQ}$ .

True or false:

Trapezoid $TRAP \sim$ Trapezoid

Statement 1: $\overline{TP} \cong \overline{UQ}$

Statement 2: $\overline{RA} \cong \overline{SB}$

9

True or false: Rhombus $RHOM \sim$ Rhombus .

Statement 1: $OM \cdot 7 = PN$ and $HO \cdot 7 = IP$

Statement 2: The area of Rhombus is 49 times that of Rhombus .

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