The perimeter of the rectangle whose length is 40 cm and a diagonal is 41 cm, is

1

(a)

42 cm

(b)

49 cm

(c)

89 cm

(d)

98 cm

In the following figure, BC = CA and \(\angle A=20,\ then \angle ACD\) is equal to

1

(a)

30°

(b)

40°

(c)

60°

(d)

80°

If the exterior angle of a triangle is 130° and its interior opposite angles are equal, then measure of each interior opposite angle is

1

(a)

55°

(b)

65°

(c)

50°

(d)

60°

In a \(\triangle ABC\) if \(\angle A=60^0\) and \(\angle B=30^0\) then the exterior angle formed by producing BC is equal to

1

(a)

180°

(b)

99°

(c)

90°

(d)

105°

Which of the following cannot be the sides of a right triangle?

1

(a)

2 cm, 2 cm, 4 cm

(b)

5 cm, 12 cm, 13 cm

(c)

6 cm, 8 cm, 10 cm

(d)

3 cm, 4 cm, 5 cm

The line segment joining a vertex of a triangle to the mid-point of its opposite side is called its____________.

1

(a)

median

In the following figure, value of x is___________.

1

(a)

90°

The sum of an exterior angle of a triangle and its adjacent angle is always____________.

1

(a)

180°

Median is also called___________in an equilateral triangle.

1

(a)

altitude

In an isosceles triangle, angles opposite to equal sides are______________.

1

(a)

equal

Sum of any two angles of triangle is always greater than the third angle.

1

(a) True

(b) False

Sum of the measures of three angles of a triangle is greater than 180°.

1

(a) True

(b) False

In the following figure, the value of x = 60°.

1

(a) False

(b) True

In the following figure, the value of y is equal to 90°.

1

(a) False

(b) True

In the following figure, the value of x is equal to 9cm.

1

(a) True

(b) False

Classify the following triangles according to their angles.

2

(a)

Draw rought sketches of \(\triangle PQR\),where QE is a median.

2

(a)

Does a median lie wholly in the interior of the triangle? (If you think that this is not true, draw a figure to show such a case).

2

(a)

How many altitudes can a triangle have?

2

(a)

In the given \(\triangle MNP\), a line from vertex M is drawn passing through the side NP at O, such that the measure of angles are given. What would be the other name for OM?

3

(a)

An exterior angle of a triangle is of measure 70°and one of its interior opposite angles is of measure 25°. Find the measure of the other interior opposite angle.

3

(a)

The two interior opposite angles of an exterior angle of a triangle are 60° and 80°. Find the measureof the exterior angle.

3

(a)

Find angle x in each figure.

3

(a)

Find the value of the unknown exterior angle x in the following diagrams.

5

(a)

The exterior \(\angle ACD\ of \triangle ABC\) 115⁰.If \(\angle B=50^0\).then find \(\angle A.\ is\angle ACD>\angle A?\)

5

(a)