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AP Board 7th Class Maths Bits 5th Lesson Triangles
Multiple Choice Questions:
Question 1.
A. simple closed plane figure formed by three line segments is called ___________
(A) Angle
(B) Triangle
(C) Rectangle
(D) Square
Answer:
(B) Triangle
Question 2.
Triangle has ___________
(A) 3 sides
(B) 3 angles
(C) 3 vertices
(D) all of the above
Answer:
(D) all of the above
Question 3.
A triangle with two equal sides is called ___________ triangle.
(A) Isosceles
(B) Equilateral
(C) Scalene
(D) Obtuse angled
Answer:
(A) Isosceles
Question 4.
A triangle with no two sides are equal is called ___________ triangle.
(A) Isosceles
(B) Equilateral
(C) Scalene
(D) Obtuse angled
Answer:
(C) Scalene
Question 5.
A triangle with all acute angle is called ___________ triangle.
(A) Right angled
(B) Obtuse angled
(C) Acute angled
(D) Equilateral
Answer:
(C) Acute angled
Question 6.
Sum of the interior angles of a triangle is ___________
(A) Two right angles
(B) One straight angle
(C) A & B
(D) None
Answer:
(C) A & B
Question 7.
In a triangle sum of its any two interior angles is equal to ___________
(A) 90°
(B) 180°
(C) Interior angle
(D) Exterior angle
Answer:
(D) Exterior angle
Question 8.
The sum of the lengths of any two sides of a triangle is ___________ the length of the third side.
(A) greater than
(B) less than
(C) equal to
(D) all of the above
Answer:
(A) greater than
Question 9.
The difference of the lengths of any two sides of a triangle is ___________ the length of the third side.
(A) greater than
(B) less than
(C) equal to
(D) all of the above
Answer:
(B) less than
Question 10.
In ∆PQR, PQ – QR ….. PR
(A) >
(B) <
(C) =
(D) ≠
Answer:
(B) <
Question 11.
In any triangle the opposite side to the smallest angle is ___________ the other two sides.
(A) bigger than
(B) equal to
(C) smaller than
(D) None
Answer:
(C) smaller than
Question 12.
In a triangle the perpendicular line segment from any vertex to it’s opposite side is called ___________
(A) side
(B) diagonal
(C) altitude
(D) hypotenuse
Answer:
(C) altitude
Question 13.
A triangle can have atmost ___________ right angles.
(A) 1
(B) 2
(C) 3
(D) 0
Answer:
(A) 1
Question 14.
Altitude of an obtuse angled triangle lies ___________the triangle.
(A) inside
(B) outside
(C) on the triangle
(D) all of the above
Answer:
(B) outside
Question 15.
In ∆ADI, AD = AI and ∠D = 45°, then the triangle is ___________
(A) Isosceles and acute angled
(B) Isosceles and obtuse angled
(C) Equilateral
(D) Isosceles and right angled
Answer:
(D) Isosceles and right angled
Question 16.
One of the exterior angles of a triangle . is 120° and the interior opposite angles are in the ratio 2 : 3, then the angles are ___________
(A) 72°, 48°, 60°
(B) 70°, 50°, 60°
(C) 73°, 47°, 60°
(D) 75°, 40°,’ 65°
Answer:
(A) 72°, 48°, 60°
Question 17.
In the figure x°, y° are =___________
(A) greater than
(B) less than
(C) equal to
(D) all of the above
Answer:
(A) greater than
Question 18.
In the figure a° are = ___________
(A) 45°
(B) 55°
(C) 90°
(D) 35°
Answer:
(C) 90°
Question 19.
From the given figure ∠b = ___________
(A) 130°
(B) 60°
(C) 20°
(D) 120°
Answer:
(D) 120°
Question 20.
From the given figure ∠x – ∠y = ___________
(A) 70°
(B) 20°
(C) 40°
(D) 50°
Answer:
(C) 40°
Question 21.
In a right angled triangle one is 43°, then the third angle is ___________
(A) 45°
(B) 47°
(C) 57°
(D) 37°
Answer:
(B) 47°
Question 22.
In ∆PQR, PQ = PR, then ∠Q = ___________
(A) 45°
(B) 47°
(C) 57°
(D) 37°
Answer:
(A) 45°
Question 23.
Which of the following measurements form a triangle ?
(A) 4 cm, 4 cm, 8 cm
(B) 5 cm, 6 cm, 11 cm
(C) 7 cm, 11 cm, 4 cm
(D) 7 cm, 8 cm, 9 cm
Answer:
(D) 7 cm, 8 cm, 9 cm
Question 24.
Two angles of a triangle are 75° and 35°, then the measure of third angle is
(A) 35°
(B) 45°
(C) 70°
(D) 75°
Answer:
(C) 70°
Question 25.
In the adjacent figure, if ED ∥ AB, ∠A = 60° and ∠B = 80°, then ∠BCD = ___________
(A) 140°
(B) 80°
(C) 60°
(D) 20°
Answer:
(B) 80°
Fill in the blanks :
Question 1.
A triangle divides the plane into ___________ parts.
Answer:
3
Question 2.
Triangle has ___________ vertices.
Answer:
3
Question 3.
If all the sides of a triangle are equal, then it is called ___________
Answer:
Equilateral Triangle
Question 4.
A triangle with one right angle is called ___________
Answer:
Right angled triangle
Question 5.
A triangle with one obtuse angle is called a ___________
Answer:
Obtuse angled triangle
Question 6.
According to the measure of angles, triangles are classified into ___________
Answer:
3 types
Question 7.
Sum of the interior angles of a triangle is ___________
Answer:
180°
Question 8.
An exterior angle of a triangle is equal to the sum of its ___________
Answer:
Opposite interior angles
Question 9.
In ∆ABC, AB + BC ___________ AC.
Answer:
>
Question 10.
In any triangle the opposite side to the biggest angle is ___________ the other two sides.
Answer:
biggger than
Question 11.
The sides which are opposite to equal angles are ___________
Answer:
also equal
Question 12.
Exterior angle of an equilateral triangle is ___________
Answer:
120°
Question 13.
Altitude of a right angled triangle lies ___________ the triangle.
Answer:
inside
Question 14.
Sum of the exterior angles of triangle is ___________
Answer:
360°
Question 15.
If one acute angle of a right angled triangle is 20°, the other angle is ___________
Answer:
90°
Question 16.
From the given figure ∠a = ___________
Answer:
80°
Question 17.
If the measure of two angles of a triangle are 35°, 84°, then the third angle is ___________
Answer:
61°
Question 18.
Three angles of a triangle are (x + 30°), 2x, (3x – 30°), then x = ___________
Answer:
30°
Question 19.
A triangle can have ___________ right angles.
Answer:
1
Question 20.
A triangle can have ___________ obtuse angles.
Answer:
1
Question 21.
In an isosceles triangle the non-equal angle is 40°, then equal angles are ___________
Answer:
70°, 70°
Question 22.
The angles of triangle are in the ratio 2:3:4, then the largest angle is ___________
Answer:
80°
Question 23.
In ∆PQR, PQ = PR; ∠P – 50°, so, ∠Q = ___________
Answer:
65°
Question 24.
The angles of a triangle are x, 2x and 3x + 60°, then x = ___________
Answer:
20°
Question 25.
The side which is opposite to right . angle in the right angled triangle is called ___________
Answer:
Hypotenuse
Match the following:
Question 1.
| Group A | Group B |
| 1. Equilateral triangle | (A) all are acute angles |
| 2. Isosceles triangle | (B) one angle is 90° |
| 3. Scalene triangle | (C) all sides are equal |
| 4. Acute angled triangle | (D) one angle is obtuse |
| 5. Obtuse angled triangle | (E) two sides are equal |
| 6. Right-angled triangle | (F) sides are different in length |
Answer:
| Group A | Group B |
| 1. Equilateral triangle | (C) all sides are equal |
| 2. Isosceles triangle | (E) two sides are equal |
| 3. Scalene triangle | (F) sides are different in length |
| 4. Acute angled triangle | (A) all are acute angles |
| 5. Obtuse angled triangle | (D) one angle is obtuse |
| 6. Right-angled triangle | (B) one angle is 90° |
Question 2.
| Group A | Group B |
| 1. Ratio of the angles of triangle are 1 : 2 : 3, then angles are ___________ | (A) 36° |
| 2. In right triangle, one of the acute angle is 54°, then other is ___________ | (B) 180° |
| 3. In ∆KLM, KL = KM and ∠K = 80° then ∠L = ___________ | (C) 120° |
| 4. Each exterior angle of an equilateral triangle is ___________ | (D) 30°, 60°, 90° |
| 5. Sum of the interior angles of a triangle = ___________ | (E) 50° |
Answer:
| Group A | Group B |
| 1. Ratio of the angles of triangle are 1 : 2 : 3, then angles are ___________ | (D) 30°, 60°, 90° |
| 2. In right triangle, one of the acute angle is 54°, then other is ___________ | (A) 36° |
| 3. In ∆KLM, KL = KM and ∠K = 80° then ∠L = ___________ | (E) 50° |
| 4. Each exterior angle of an equilateral triangle is ___________ | (C) 120° |
| 5. Sum of the interior angles of a triangle = ___________ | (B) 180° |