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Question 13 Marks
Find the coordinates of points $A, B, C, D$ in Figure.
Answer


Draw perpendiculars $AP, BP, CQ$ and $DR$ from $A, B, C$ and $D$ on the $x-$axis. Also, draw perpendiculars $AW, BX, CY$ and $DZ$ on the y-axis.
From the figure,
we have:
$AW = 1$ unit and $AP= 1$ unit.
So, the coordinates of vertex $A$ are $(1, 1).$
Similarly, $BX=1$ unit and $BP= 4$ units
So, the coordinates of vertex $B$ are $(1, 4).$
$CY = 4$ units and $CQ= 6 $ units
So, the coordinates of vertex B are $(4, 6)$.
$DZ = 5$ units and $DR= 3$ units
So, the coordinates of vertex $B$ are $(5, 3).$
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Question 23 Marks
Decide which of the following statements is true and which is false. Give reasons for your answer. A point whose $x-$coordinate is zero, will lie on the y-axis.
Answer
The examples of points having $x-$coordinate as zero are $(0, 3), (0, 6), (0, 9).$ This can be represented in the following manner:
From the figure, it can be seen that these points lie on the $y-$axis. Hence, the statement is true.
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Question 33 Marks
Decide which of the following statements is true and which is false. Give reasons for your answer. A point whose y-coordinate is zero, will lie on $x-$axis.
Answer
The examples of points having $x-$coordinate as zero are $(0, 3), (0, 6), (0, 9).$ This can be represented in the following manner:

From the figure, it can be seen that these points lie on the $y-$axis. Hence, the statement is true.
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3 Marks Question - MATHS STD 8 Questions - Vidyadip