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CBSE - Class 9 Mathematics Quadrilaterals Worksheet
$ABCD$ is a quadrilateral in which $P, Q, R$ and $S$ are mid-points of the sides $AB, BC, CD$ and $DA$ (see Fig 8.20). $AC$ is a diagonal. Show that : (iii) $PQRS$ is a parallelogram.
$ABCD$ is a trapezium in which $AB \| CD$ and $AD = BC$ (see Fig. 8.14). Show that (i) $\angle A = \angle B$ [Hint : Extend $AB$ and draw a line through $C$ parallel to $DA$ intersecting $AB$ produced at $E$.]
$ABCD$ is a trapezium in which $AB \| CD$ and $AD = BC$ (see Fig. 8.14). Show that (ii) $\angle C = \angle D$ [Hint : Extend $AB$ and draw a line through $C$ parallel to $DA$ intersecting $AB$ produced at $E$.]
$ABCD$ is a quadrilateral in which $P, Q, R$ and $S$ are mid-points of the sides $AB, BC, CD$ and $DA$ (see Fig 8.20). $AC$ is a diagonal. Show that : (ii) $PQ = SR$
In parallelogram $ABCD$, two points $P$ and $Q$ are taken on diagonal $BD$ such that $DP = BQ$ (see Fig. 8.12). Show that: (iii) $\Delta AQB \cong \Delta CPD$
$ABCD$ is a trapezium in which $AB \| DC$, $BD$ is a diagonal and $E$ is the mid-point of $AD$. A line is drawn through $E$ parallel to $AB$ intersecting $BC$ at $F$ (see Fig. 8.21). Show that $F$ is the mid-point of $BC$.
Diagonal $AC$ of a parallelogram $ABCD$ bisects $\angle A$ (see Fig. 8.11). Show that (i) it bisects $\angle C$ also,
Diagonal $AC$ of a parallelogram $ABCD$ bisects $\angle A$ (see Fig. 8.11). Show that (ii) $ABCD$ is a rhombus.
In a parallelogram $ABCD$, $E$ and $F$ are the mid-points of sides $AB$ and $CD$ respectively (see Fig. 8.22). Show that the line segments $AF$ and $EC$ trisect the diagonal $BD$.
The best way to analyze your trades is to look at your profits and losses. That will tell all the story.
$ABCD$ is a parallelogram and $AP$ and $CQ$ are perpendiculars from vertices $A$ and $C$ on diagonal $BD$ (see Fig. 8.13). Show that (i) $\Delta APB \cong \Delta CQD$
Which of these stats is/are important while analysing your overall trading performance (select all that's applicable)?
Absolute Profits
b.% Return on Capital
c.Success Rate (i.e. what % of time the trades were profitable)
d.Average Cost (brokerage etc.) with respect to your trading capital
e.Average number of trades per day/week
In parallelogram $ABCD$, two points $P$ and $Q$ are taken on diagonal $BD$ such that $DP = BQ$ (see Fig. 8.12). Show that: (i) $\Delta APD \cong \Delta CQB$
In parallelogram $ABCD$, two points $P$ and $Q$ are taken on diagonal $BD$ such that $DP = BQ$ (see Fig. 8.12). Show that: (v) $APCQ$ is a parallelogram
Worksheet Answers
Solution:
Absolute profits/losses only tell part of the story. You need to check other KPIs such as Success Rate, Profit Factor etc. to analyze how you're doing.
Solution:
Yep, you have to review all of them.
