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11 questions · self-marked practice — reveal the answer and mark yourself.

Question 12 Marks
How had you verified that light rays travel in a straight line? Recall an experiment in science which you have done in a previous standard.
Answer

Image
The flame of the candle can be seen only when the pin holes in all cardboards are in the same straight line. We can use the set up shown in the figure above to verify that light rays travels in a straight line.
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Question 22 Marks
Students are asked to stand in a line for mass drill. How will you check whether the students standing are in a line or not ?
Answer
If one stands in front of the line and observes only the first student standing in the line, then all the students standing in that line are collinear i.e., standing in the same line. We can use this property of collinearity to check whether the students are standing in the same line or not.
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Question 32 Marks
Write the antecedent (given part) and the consequent (part to be proved) in the following statements : The diagonals of a parallelogram bisect each other.
Answer
The diagonals of a parallelogram bisect each other.
Conditional statement: “If a quadrilateral is a parallelogram then its diagonals bisect each other.
Antecedent (Given): Quadrilateral is a parallelogram.
Consequent (To prove): Its diagonals bisect each other.
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Question 42 Marks
Write the antecedent (given part) and the consequent (part to be proved) in the following statements : If all sides of a triangle are congruent, then its all angles are congruent.
Answer
If all sides of a triangle are congruent, then its all angles are congruent.
Antecedent (Given): All the sides of the triangle are congruent.
Consequent (To prove): All the angles are congruent.
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Question 52 Marks
The co-ordinate of point A on a number line is 5. Find the co-ordinates of points on the same number line which are 13 units away from A.
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Question 62 Marks
U, V and A are three cities on a straight road. The distance between U and A is 215 km, between V and A is 140 km and between U and A is 75 km. Which of them is between the other two ?
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Question 72 Marks
On a number line, points A, B and C are such that d (A, B) = 5, d (B,C) = 11 and d (A, C) = 6. Which of the points is between the other two ?
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Question 92 Marks
If AB = 5 cm, BP = 2 cm and AP = 3.4 cm, compare the segments.
Answer
Given, l(AB) = 5 cm, l(BP) = 2 cm,
l(AP) = 3.4 cm … [Given]
r Since, 2 < 3.4 < 5
∴ l(BP) < l(AP) < l(AB)
i.e., seg BP < seg AP < seg AB
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Question 102 Marks
Point P is the midpoint of seg CD. If CP = 2.5, find l(CD).
Answer
Point P is the midpoint of seg CD and l(CP) = 2.5 …[Given]Image
$ l( CP )=\frac{1}{2} l( CD )$
$\ldots[\because P \text { is midpoint of seg } CD ]$
$\therefore \quad 2.5=\frac{1}{2} \times l( CD )$
∴ l(CD) = 2.5 x 2
∴ l(CD) = 5
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Question 112 Marks
Point M is the midpoint of seg AB. If AB = 8, then find the length of AM.
Answer
Point M is the midpoint of seg AB and l(AB) = 8. …[Given]Image
$ l( AM )=\frac{1}{2} l( AB )$
$\quad \ldots[\because M \text { is midpoint of seg } AB ]$
$\therefore \quad l( AM )=\frac{1}{2} \times 8=4$
$\therefore \quad l( AM )=4 .$
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