Use graph paper for this question. The point P (5, 3) was reflect… - Vidyadip

Question

Use graph paper for this question.
The point P (5, 3) was reflected in the origin to get the image P’.
(i) Write down the co-ordinates of P’.
(ii) If M is the foot of the perpendicular from of P to the X-axis, find the co-ordinates of M.
(iii) If N is the foot of the perpendicular from of P’ to the X-axis, find the co-ordinates of N.
(iv) Name the figure PMP’N.
(v) Find the area of die figure PMP’N.

✓

Answer

(i) P' (-5, -3).
(ii) M (5, 0).
(iii) N (-5, 0).
(iv) The figure PMP'N is a parallelogram.
(v) The area of figure PMP'N
$=\frac{1}{2} \times 10 \times 3+\frac{1}{2} \times 10 \times 3$
= 15 + 15
= 30 sq. units.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "[3 marks sum]" from Reflection→Reflection — all question types→Mathematics STD 10 question papers→ICSE Board STD 10 question papers→ICSE Board question paper generator→

Similar questions

A doorway is decorated as shown in the figure. There are four semi-circles. $BC,$ the diameter of the larger semi-circle is of length $84\ cm.$ Centres of the three equal semicircles lie on $BC. ABC$ is an isosceles triangle with $AB = AC.$ If $BO = OC,$ find the area of the shaded region. (Take $\left.\pi=\frac{22}{7}\right)$

Find the ratio in which the line segment joining $A (2, -3)$ and $B(S, 6) i\sim$ divided by the $x-$axis.

Distribution of height in cm of 100 people is given below:

Class interval (cm)	Frequency
145 - 155	3
155 - 165	35
165 - 175	25
175 - 185	15
185 - 195	20
195 - 205	2

Draw a histogram to represent the above data.

Prove.
$\frac{\operatorname{cosec} A-1}{\operatorname{cosec} A+1}=\left(\frac{\cos A}{1+\sin A}\right)^2$

If $A=\left[\begin{array}{ll}2 & x \\ 0 & 1\end{array}\right]$ and $B=\left[\begin{array}{cc}4 & 36 \\ 0 & 1\end{array}\right]$. Find the vlaue of $x$ given that $A^2=B$

Prove the following identity:
$
\frac{\tan \theta+\sin \theta}{\tan \theta-\sin \theta}=\frac{\sec \theta+1}{\sec \theta-1}
$

Find the mean of the following data:

Height (in cm)	More than10	More than 20	More than 30	More than 40
No. of plants	50	36	18	5

A woman reduces her weight in the ratio 7 : 5. What does her weight become if originally it was 91 kg.

Find the value of ' $x$ ' and ' $y$ ' if : $
2\left[\begin{array}{cc}
x & 7 \\
9 & y-5
\end{array}\right]+\left[\begin{array}{cc}
6 & -7 \\
4 & 5
\end{array}\right]=\left[\begin{array}{cc}
10 & 7 \\
22 & 15
\end{array}\right]
$

Draw histogram for the following distributions:

Class Interval	0-10	10-20	20-30	30-40	40-50	50-60
Frequancy	12	20	26	18	10	6