A triangle can be constructed by taking its sides as.

1

(a)

1.8 cm, 2.6 cm, 4.4 cm

(b)

2 cm, 3 cm, 4 cm

(c)

2.4 cm, 2.4 cm, 6.4 cm

(d)

3.2 cm, 2.3 cm, 5.5 cm

Which of the following sets of triangles could be the lengths of the sides of a right angled triangle?

1

(a)

3 cm, 4 cm, 6 cm

(b)

9 cm, 16 cm, 26 cm

(c)

1.5 cm, 3.6 cm, 3.9 cm

(d)

7 cm, 24 cm, 26 cm

In the given figure, AB = AC = BC, then the value of each angle is equal to 

1

(a)

40°

(b)

70°

(c)

90°

(d)

60°

Which of the following cannot be the side of a triangle?

1

(a)

8 cm,5 cm, 4 cm

(b)

10 cm, 10 cm, 4 cm

(c)

10 cm, 6 cm, 4 cm

(d)

9 cm, 8 cm, 7 cm.

We can construct a triangle only when the sum of any two sides is

1

(a)

less than the third side

(b)

greater than the third side

(c)

equal to the third side

(d)

equal to the perimeter of the triangle

The bisector of a line segment, divide the line segment in two___________parts.

1

(a)

equal

A triangle can be constructed only if the sum of its any two sides is_________than the third side.

1

(a)

greater

We can construct a right angled triangle, if the value of__________of the angle is given.

1

(a)

one

The angle made by perpendicular bisector of line is equal to__________.

1

(a)

90⁰

The side opposite to \(\angle\)Q is____________

1

(a)

\(\overline{PR}\)

The distance between the two parallel lines is the same everywhere.

1

(a) False

(b) True

In a right angled triangle, the square of hypotenuse is greater than the sum of square of base and perpendicular length.

1

(a) True

(b) False

A right angled triangle can be constructed, if the given angles are 90°, 60° and 70°.

1

(a) True

(b) False

Can we draw a mangle having two right angles?

1

(a)

No.

Can 45°, 60° and 40° be the angles of an acute angled mangle?

1

(a)

No

Write the angle measures of an isosceles right angled triangle.

1

(a)

45°,45°,90°.

What is the relation between the difference of any two sides and the third side?

1

(a)

less than the third side

Can 45°,60°, and 40° be angles of an acute angled triangle?

1

(a)

No, because sum of (45 + 60 + 40) < 180°.

Study the following problem. ΔABC, if AC = 7 cm, m ㄥA = 60⁰ and m ㄥB = 50°, can you draw the triangle?

2

(a)

The Measures of certain sides and angles ot triangles. Identity those which cannot be constructed and say why you cannot construct them? Construct rest ot the triangles.

Triangle	Given Measurements
ΔABC	mㄥA=850	mㄥB=1150	AB=5 cm

2

(a)

The Measures of certain sides and angles ot triangles. Identity those which cannot be constructed and say why you cannot construct them? Construct rest ot the triangles.

Triangle	Given Measurements
ΔABC	BC=2 cm	AB=4 cm	AC=2 cm

2

(a)

If a perpendicular bisector is drawn on a ray. Then, find the angle made by perpendicular bisector.

2

(a)

Construct an angle bisector of 90°.

2

(a)

Draw a triangle whose sides are of lengths 4 cm, 5 cm and 7 cm.

2

(a)

In the given construction, can you draw any other line through A that would be also parallel to the line l?

3

(a)

The Measures of certain sides and angles ot triangles. Identity those which cannot be constructed and say why you cannot construct them? Construct rest ot the triangles.

Triangle	Given Measurements
ΔABC	mㄥA=700	mㄥB=500	AC=3 cm

3

(a)

In the following constructed figure, find the value of \(\angle X.\)

3

(a)

Construct a triangle ABC when AB = 5.5 cm, BC = 4.5 cm and \(\angle\)B = 60°.

3

(a)

Construct the right angled ΔPQR, where mㄥQ = 90°, QR = 8 cm and PR = 10 cm.

4

(a)

Draw a line AB of length 5 cm and draw a line PQ parallel to AB at a distance of 3 cm from AB.

4

(a)