Introduction to Triangles

Q.

In $△$ ABC, BA is produced to E and AD = BD = AC; ∠CAE = 75^o and ∠ACD = x^o. Then, the value of x is

1. 45°

2. 50°

3. 60°

4. 37.5^o

Q. In the given figure ΔBAC = ΔQRP by SAS criterion of congruence. Find the value of x and y.

Q. The minimum number of line segments required to make a closed figure is .

1. one
2. two
3. three
4. four

Q. $\text{Which angle is opposite to side BC in a}\Delta ABC?$

1. B
2. A
3. C
4. Both A and C

Q. If two angles of a triangle having measures 65° and 35°, find the measure of the third angle.

Q. $\text{In a}\Delta ABC\text{with right angle at vertex B,}\text{what is the side opposite to the right}\text{angle?}$

1. BA
2. None of the above
3. AC
4. CB

Q. A closed figure which has three sides is called a .

1. triangle
2. quadrilateral
3. pentagon

Q. Which of the following can represent a vertex?

1. A
2. a
3. $\angle$A
4. None of the above

Q. A triangle consists of ___ line segments.

1. True

2. False

3. less than 3
4. less than 4

Q.

Three collinear points can be used to construct a triangle, with the points acting as vertices.

1. True
2. False

Q.

A triangle having sides measuring 5 cm, 11 cm and 13 cm is _______ triangle.

1. scalene

2. equilateral

3. isosceles

4. right angled

Q. How many triangles are there in a rectangle with two diagonals?

1. 2
2. 4
3. 6
4. 8

Q. Identify the interior angles of the triangle $△PQR.$

1. $\angle APQ,\angle CQP$
2. $\angle QPR,\angle PQR$
3. $\angle APQ,\angle RPB$
4. $\angle QRP$

Q.

All equilateral triangle are isosceles, but not all isosceles are equilateral. why ?

Q.

What is the minimum number of lines required to make a closed figure?

1. 1

2. 3

3. 4

4. 2

Q. A triangle is a closed figure drawn on a plane with three straight sides.

1. True
2. False

Q.

Can ${90}^{\circ }$, ${90}^{\circ }$ and ${20}^{\circ }$ form a triangle?

1. Yes

2. Sometimes

3. Can't say

4. No

Q. To make a triangle using three points, the points must be -

1. collinear
2. coplanar
3. both collinear and coplanar.

Q.

Each angle in an equilateral triangle measures ___.

1. 60°

2. 75°

3. 90°

4. 45°

Q. What is the name of the closed figure that three straights lines on a single plane can make?

Q.

In the given figure , find the number of triangles and name them .

Q. Two trees 7 m and 4 m high stand upright on a ground. If their bases (roots) are 4 m apart, then the distance between their tops is

Q.

The vertical angle of the given isosceles triangle is angle

1. A

2. B

3. C

4. None of the above

Q.

In a triangle ABC, base angles B and C are equal. If the vertical angle is ${30}^{\circ }$ less than B, then find angle A.

1. 30°

2. 40°

3. 50°

4. 60°

Q.

The six elements of a triangle are its ‘a’ sides and ‘b’ angles. Find the value of $a\times b$.

___

Q. State whether the following statement is True or False.
In an Isosceles triangle, only two sides of a triangle are equal.

1. True
2. False

Q. The perimeter of the given triangle is $11.1$ centimeters. Find the length of side $YZ.$

1. $3.4cm$
2. $5.4cm$
3. $4.8cm$
4. $6.8cm$

Q. A traingle has vertices, while a square has vertices.

1. $3$
2. $4$
3. $2$
4. $5$

Q. $\text{In a}\Delta ABC\text{with right angle at vertex B,}\text{what is the side opposite to the right}\text{angle?}$

1. BA
2. AC
3. CB
4. None of the above

Q.

Name the type of triangle

$△ABC$ with $m\angle B=90°$