The shorter side of a parallelogram is $4.8\ cm$ and the longer side is half as much again as the shorter side. Find the perimeter of the parallelogram.
View full solution →Question types
Understanding Shapes – II (Special Types of Quadrilaterals) question types
101 questions across 4 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.
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Sample Questions
Understanding Shapes – II (Special Types of Quadrilaterals) questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Can the following figures be parallelograms. Justify your answer.
The following figures are parallelograms. Find the degree values of the unknowns $x, y, z.$
View full solution →In the following figures $GUNS$ and $RUNS$ are parallelograms. Find $x$ and $y.$
View full solution →Given below is a parallelogram $\text{ABCD}$. Complete each statement along with the definition or property used.
$i. \text{AD}=$
$ii. \angle\text{DCB}=$
$iii. \text{OC}=$
$iv. \angle\text{DAB}+\angle\text{CDA}=$
View full solution →$i. \text{AD}=$
$ii. \angle\text{DCB}=$
$iii. \text{OC}=$
$iv. \angle\text{DAB}+\angle\text{CDA}=$
In a rectangle $ABCD,$ prove that $\triangle\text{ACB}=\triangle\text{CAD}$.
View full solution →In the figure, $ABCD$ and $AEFG$ are parallelograms. If $\angle\text{C}=55^\circ$, what is the measure of $\angle\text{F}$?
View full solution →$ABCD$ is a rhombus. If $\angle\text{ACB}=40^\circ$, find $\angle\text{ADB}$.
View full solution →Draw a square whose each side measures $4.8\ cm.$
View full solution →In a parallelogram $ABCD, \angle\text{D}=135^\circ$, determine the measure of $\angle\text{A}$ and $\angle\text{B}$.
View full solution →The diagonals of a quadrilateral are of lengths $6\ cm$ and $8\ cm$. If the diagonals bisect each other at right angles, what is the length of each side of the quadrilateral?
View full solution →Points $E$ and $F$ lie on diagonal $AC$ of a parallelogram $ABCD$ such that $AE = CF$. What type of quadrilateral is $BFDE$?
View full solution →Show that each diagonal of a rhombus bisects the angle through which it passes.
In the figure $\text{ABCD}$ is a parallelogram, $\text{CE}$ bisects $\angle\text{C}$ and $\text{AF}$ bisects $\angle\text{A}$. In each of the following, if the statement is true, give a reason for the same.
$i. \angle\text{A}=\angle\text{C}$
$ii. \angle\text{FAB}=\frac{1}{2}\angle\text{A}$
$iii.\angle\text{DCE}=\frac{1}{2}\angle\text{C}$
$iv. \angle\text{CEB}=\angle\text{FAB}$
$v. \text{CE}\parallel\text{AF}$
View full solution →$i. \angle\text{A}=\angle\text{C}$
$ii. \angle\text{FAB}=\frac{1}{2}\angle\text{A}$
$iii.\angle\text{DCE}=\frac{1}{2}\angle\text{C}$
$iv. \angle\text{CEB}=\angle\text{FAB}$
$v. \text{CE}\parallel\text{AF}$
$\text{ABCD}$ is a rhombus and its diagonals intersect at $O$.
$i.$ Is $\triangle\text{BOC}\cong\triangle\text{DOC}$? State the congruence condition used?
$ii.$ Also state, if $\angle\text{BCO}=\angle\text{DCO}$
View full solution →$i.$ Is $\triangle\text{BOC}\cong\triangle\text{DOC}$? State the congruence condition used?
$ii.$ Also state, if $\angle\text{BCO}=\angle\text{DCO}$
Which of the following statements are true for a rhombus? It has all its sides of equal lengths.
Which of the following statements are true for a rhombus? It has only two pairs of equal sides.
Explain how a square is: A rectangle.
Explain how a square is: A quadrilateral.
Which of the following statements are true for a rhombus?
It is a quadrilateral.
It is a quadrilateral.
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