In mathematics, a straight line is defined as a line followed by a point travelling in a constant direction with no curvature. Straight lines connect two points shortest distance.
Lines can be divided into many types, such as horizontal, perpendicular, vertical, and parallel.
Lines
Horizontal line
When a line moves from east to west, it is horizontal.
Perpendicular line
When any two lines meet each other at an angle of 90° is called a perpendicular line.
Vertical line
A straight line from up to down is called a vertical line.
Parallel line
When any two lines don't meet, touch, or intersect even at infinity, that line is called a parallel line.
Tangent
A straight line that touches the curve is called a tangent at any given point.
Angles
An angle is formed when two rays are united at a common point. An angle is usually measured in degrees, radians, or gradians.
- Acute angles are formed between 0° to 90°.
- An obtuse angle is formed between 90° to 180°.
- An angle equal to 180°>is called a straight angle.
- Reflex angles are greater than 180° and less than. 360°.
- And an entire rotation of an angle leads to 360°.
Lines and Angles Sample Questions for Class 11
Question 1
A polygon that is always convex.
A. Triangle
B. Quadrilateral
C. Circle
D. N-gon
Question 2
What is the reference angle for (7 pi) /4 ?
A. pi/4
B. pi/3
C. pi/6
D. (3pi)/4
Question 3
If two sides of a parallelogram are 4 inches and 8 inches in length, and have a 30^@ angle between them the area of the parallelogram is
A. 32 sq in.
B. 16sqrt3 in.
C. 16 sq in.
D. none of these.
Question 4
Beginning from the positive side of the x-axis, rotating around in the clockwise direction creates a positive angle.
A. True
B. False
Question 5
A square pyramid sculpture contains 50 \ "ft"^3 of granite and is 6 feet high. What is the area of the base of the sculpture?
A. 5 \ "ft"
B. 25 \ "ft"
C. 5 \ "ft"^2
D. 25 \ "ft"^2