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

Question 14 Marks
Draw any triangle on a paper. Name its vertices A, B, C. Measure the lengths of its three sides using a divider and scale and enter them in the table.
Length of sideSum of the lengths of two sidesLength of the third side
l (AB) = cml (AB) + l (BC) = cml (AC) = cm
l (BC) = cml (BC) + l (AC) = cml (AB) = cm
l (AC) = cml (AC) + l (AB) = cml (BC) = cm
Answer
Image
Length of sideSum of the lengths of two sidesLength of the third side
l (AB) = 2.7 cml (AB) + l (BC) = 6.6 cml (AC) = 5.6 cm
l (BC) = 2.9 cml (BC) + l (AC) = 9.5 cml (AB) = 2.7 cm
l (AC) = 5.6 cml (AC) + l (AB) = 8.3 cml (BC) = 3.9 cm
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Question 24 Marks
Properties of a triangle
Take a triangular piece of paper and make three different types of marks near the three angles. Take a point approximately at the center of the triangle. From this point, draw three lines that meet the three sides. Cut the paper along those lines. Place the three angles side by side as shown. See how the three angles of a triangle together form a straight angle, or, an angle that measures 180°.

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Answer
The three angles of the triangle form a straight angle.
Hence, the sum of the measures of the angles of a triangle is 180°.
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Question 34 Marks
Properties of a triangle.
Take a triangular piece of paper. Choose three different colors or signs to mark the three comers of the triangle on both sides of the paper. Fold the paper at the midpoints of two sides as observe?

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Answer
The three angles of the triangle form a straight angle.
∴ m∠A + m∠B + m∠C = 180°
Hence, the sum of the measures of the angles of a triangle is 180°.
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Question 44 Marks
Observe the set squares in your compass box. What kind of triangles are they?

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Answer
The first set square is a scalene triangle and also a right angled triangle.
The second set square is an isosceles triangle and also a right angled triangle.
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Question 54 Marks
Measure all the angles of the triangles given below. Enter them in the following table.Image
In ∆DEFIn ∆PQRIn ∆LMN
Measure of ∠D = m ∠D =___Measure of ∠P = m ∠P =___Measure of ∠L =__
Measure of ∠E = m ∠E =___Measure of ∠Q =___=___Measure of ∠M =___
Measure of ∠F = ___=___Measure of ∠R =___=___Measure of ∠N =___
Observation:All three angles are acute angles.Observation:One angle is right angle and two are acute angles.Observation:One angle is an obtuse angle and two are acute.
Answer
In ∆DEFIn ∆PQRIn ∆LMN
Measure of ∠D = m ∠D = 60ºMeasure of ∠P = m ∠P = 45ºMeasure of ∠L = 30º
Measure of ∠E = m ∠E = 68ºMeasure of ∠Q = m = 90ºMeasure of ∠M = 116º
Measure of ∠F = m = 52ºMeasure of ∠R = m ∠R = 45ºMeasure of ∠N = 34º
  1. ADEF is an acute angled triangle,
  2. APQR is a right angled triangle,
  3. ALMN is an obtuse angled triangle.
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Question 64 Marks
Measure the sides of the following triangles in centimeters, using a divider and ruler. Enter the lengths in the table below. What do you observe?
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In ∆ABCIn ∆PQRIn ∆XYZ
l (AB) = cml (QR) = cml (XY) = cm
l (BC) = cml (PQ) = cml (YZ) = cm
l (AC) = cml (PR) = cml (XZ) = cm
Answer
In ∆ABCIn ∆PQRIn ∆XYZ
l (AB) = 2.6 cml (QR) = 2.8 cml (XY) = 2.8 cm
l (BC) = 2.6 cml (PQ) = 3.8 cml (YZ) = 2.6 cm
l (AC) = 2.6 cml (PR) = 3.8 cml (XZ) = 4.3 cm

We observe that,

  1. ∆ABC is an equilateral triangle,
  2. ∆PQR is an isosceles triangle, and
  3. ∆XYZ is a scalene triangle.
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