Equilateral Triangle on a Given Line

Q. How many least number of distinct points determine a unique line?

Q. S1: Incentre of an acute-angled triangle and a right-angled triangle lies inside the triangle.
S2: Incentre of an obtuse-angled triangle lies outside the triangle.

1. 
   Both S1 and S2 are true.
2. Both S1 and S2 are false.
3. 
   S1 is true and S2 is false.
4. S2 is true and S1 is false.

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

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

Q.

A straight line may be drawn by joining one point to another point. True or False?

1. False

2. True

Q.

A proof is required for:

1. Axiom

2. Postulate

3. Definition

4. Theorem

Q. Equilateral triangle can be constructed on any given _________.

1. line segment
2. point
3. arc
4. infinite ray

Q. A/An ____ triangle can be constructed on any given line segment.

1. obtuse
2. scalene
3. acute
4. equilateral

Q. An/ a ___ triangle can be constructed on any given line segment.

1. Equilateral
2. Right
3. Isosceles
4. Obtuse

Q. Assertion: An infinite number of lines can be drawn to pass through a given point.
Reason: A line segment has two end-points.
(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.

Q.

A terminated line can be produced only on one side. True or False?

1. True

2. False

Q.

If any point on a perpendicular bisector is used to form a triangle along with the given line segment, what type of triangle is this triangle?__

Q. An equilateral triangle can be constructed using any line segment.

1. False
2. True

Q. Which of the following statements is correct ?

1. A line segment has definite length
2. Two lines drawn in a plane always intersect at a point.
3. One and only one line can be drawn passing through a given point and parallel to a given line.
4. Three lines are concurrent if and only if they have a common point.

Q. Equilateral triangle can be constructed on any given _________.

1. line segment
2. point
3. infinite ray
4. arc

Q.

Which of the following instruments is unnecessary to draw a right triangle with all 3 sides given?

1. Set Square

2. Ruler

3. Protractor

4. Options 2 or 3

Q. An equilateral triangle is constructed on a line segment which measures 6 cm. What is the perimeter of the triangle constructed?

1. 12 cm
2. 18 cm
3. 6 cm
4. 9 cm

Q. A/An ____ triangle can be constructed on any given line segment.

1. equilateral
2. acute
3. obtuse
4. scalene

Q. are results derived from axioms and postulates.

1. Statements
2. Rules
3. Theorems
4. Definitions

Q. Take any three non-collinear points A, B, V on a paper. How many lines in all can you draw through different pairs of the points? Name the lines.

Q.

What do you mean by the perimeter of an equilateral triangle?

Q. GIVEN TWO DISTINCT PERPENDICULAR LINES l AND m.IS THERE A POINT THAT LIES ON BOTH l AND m?IF YES, HOW MANY SUCH POINTS ARE THERE?

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

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

Q.

Match the following:

1. 1-a, 2-b, 3-c

2. 1-c, 2-b, 3-a

3. 1-b, 2-c, 3-a

4. 1-b, 2-a, 3-c

Q. Match the following:

1. Axiom
2. Two end points
3. Lines
4. Theorems

Q. An equilateral triangle can be constructed using any line segment.

1. False
2. True

Q. An equilateral triangle is constructed on a line segment which measures 6 cm. What is the perimeter of the triangle constructed?

1. 18 cm
2. 6 cm
3. 12 cm
4. 9 cm

Q. Perimeter of $∆$ABC is 14 cm, AB = 4.5 cm and $\angle$A = 80$°$ construct $∆$ABC.