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Quadrilaterals — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsQuadrilaterals4 Marks
Question
Read the Source/ Text given below and answer these questions:

There is a Diwali celebration in the $DPS$ school Janakpuri New Delhi. Girls are asked to prepare Rangoli in a triangular shape. They made a rangoli in the shape of $\triangle ABC.$ Dimensions of $\triangle\text{ABC}$ are $26\ cm, 28\ cm, 25\ cm.$

$i.$ In fig, $R$ is mid$-$point of $AB$ and $RQ \| BC$ then $AQ$ is equal to:
$a. BC$
$b. RB$
$c. QC$
$d. AD$
$ii.$ In fig $R$ and $Q$ are mid-points of $AB$ and $AC$ respectively. The length of $RQ$ is:
$a. 14$
$b. 13$
$c. 12.5$
$d.13.5$
$iii.$ If Garland is to be placed along the side of $\triangle\text{QPR}$ which is formed by joining midpoint, what is the length of garland:
$a. 79\ cm$
$b. 39.5\ cm$
$c. 35\ cm$
$d.79.5\ cm$
$iv.$ In the following figure $R, P$ and $Q$ are the mid-points of $AB, BC,$ and $AC$ respectively. Which of the following is the area of $\triangle\text{PQR}?$
$a. \frac12\text{ar (ABC)}$
$b. \frac{1}{3}\text{ar (ABC)}$
$c. \frac14\text{ar (ABC)}$
$d.\frac16\text{ar (ABC)}$
$v. R, P, Q$ are the mid-points of corresponding sides $AB, BC, CA$ in $\triangle\text{ABC}$ the figure so obtained $BPQR$ will be:
$a.$ Parallelogram.
$b.$ Trapezium.
$c.$ Quadrilateral.
$d.$ None of these.
✓

Answer

$(i)$
$(c)$
$QC$
$(ii)$
$(a)$
$14$
$(iii)$
$(b)$
$39.5\ cm$
$(iv)$
$(c)$
$\frac14\text{ar (ABC)}$
$(v)$
$(a)$
Parallelogram.

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