### Scholastic Aptitude Test - Mathematics - Quadrilaterals

#### Question - 1

The length of the diagonal BD of the parallelogram ABCD is 18 cm. If P and Q are the Centroid of the $\Delta$ABC and $\Delta$ADC repectively then the length of the line segment PQ is

• A 4 cm
• B 6cm
• C 9 cm
• D 12 cm

#### Question - 2

ABCD is a cyclic trapezium whose sides AD and BC are parallel to each other. If=72$\circ$ then the measure of the is

• A 162$\circ$
• B 18$\circ$
• C 108$\circ$
• D 72$\circ$

#### Question - 3

In a quadrilateral ABCD, with unequal sides, if the diagonals AC and BD intersect at right angles then

• A AB2+BC2=CD2+DA2
• B AB2+CD2=BC2+DA2
• D AB2+BC2=2(CD2+DA2)

#### Question - 4

Measure of each interior angle of a regular polygon can never be

• A 105o
• B 150o
• C 108o
• D 110o

#### Question - 5

A parallelogram ABCD has sides AB=24 cm; AD= 16cm. The distance between the sides AB and DC is 10cm. Find the distance between the sides AD and BC.

• A 16 cm
• B 18 cm
• C 15 cm
• D 26 cm

#### Question - 6

A square is of area 200 sq.m. Anew square is formed such a way that the length of its diagonal is $\sqrt 2$ times of the diagonal of the given square. Then the area of the new square formed is

• A 200$\sqrt 2$ sq.m
• B 400$\sqrt 2$ sq.m
• C 400 sq.m
• D 800 sq.m

#### Question - 7

If a square and a rhombus stand on the same base, then the ratio of the areas of the square and the rhombus is

• A equal to $\frac1 4$
• B equal to $\frac1 2$
• C equal to 1
• D greater than 1

#### Question - 8

The area of the shaded region is

• A 49$\left( 1-\frac { \pi }{ 4 } \right)$
• B 49$\left( \frac { \pi -1}{ 4 } \right)$
• C 49$(1-\pi)$
• D none of these

#### Question - 9

In the figure, ABCD and PQRS are rectangles, where Q is the mid-point of AC then

• A DP=PC
• B $\frac1 3$PR=$\frac3 2$DB
• C DP=PQ
• D DP=$\frac1 2$AC

#### Question - 10

A diagonal of a quadrilateral is a line segment that joins two-----vertices of the quadrilateral

• A equal
• B unequal
• C opposite
• D none of these