TYPES OF LINES IN MATH
On the webpage "Types of lines in math", we are going to see different forms of lines in math.
About "Types of Lines in math"
What is line?
- Line is a geometrical object that is straight,endless and thin.
- It is continuous and we can increase the length, straight or curved.
- It will not have thickness; the trace of proceeding points.
Parallel lines:
If two lines are always at the same distance apart and will not meet. This kinds of lines are known as parallel lines.
The length of two lines should not be same. The perpendicular distance between those two lines must be same anywhere.
Practical example: Railway track
The symbol || is use to represent parallel lines. In the above picture the first line is shorter than the second line but both the lines are in same direction.
The perpendicular distance between them are same and they should not meet anywhere.
Properties of parallel lines
If two lines are intersected by a transversal,pair of acute angles
are equal in measure, pairs of obtuse angles are also equal in
measure,and any acute angle is supplementary to any obtuse angle.
If line m is || to line n, then:
Alternate interior angles will be equal in measure.
Corresponding angles will be equal in measure.
The sum of degree measures of two interior angles on the same side of the transversal is 180.
Also, the sum of the degree measures by any acute angle and any obtuse angle will be 180.
Perpendicular lines:
Perpendicular line mean two lines it should intersect and form right angles are called perpendicular lines. Perpendicular line is denoted by the symbol of (⊥ )
Concurrent lines:
If two or more lines passing through the same point then the lines are called concurrent lines.
Horizontal line:
A line which is parallel to x-axis is called as horizontal line.
Vertical line:
A line which is perpendicular to x-axis is called as vertical line.
Skew lines:
When two non parallel lines are not intersecting in a space, they are called as skew lines.
Tranversal line:
Transversal line is a straight line that cuts 2 or more lines. The lines may or may not be parallel.
Coplanar lines
Coplanar lines are lines that lie on the same plane.
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WORD PROBLEMS
HCF and LCM word problems
Word problems on simple equations
Word problems on linear equations
Word problems on quadratic equations
Area and perimeter word problems
Word problems on direct variation and inverse variation
Word problems on comparing rates
Converting customary units word problems
Converting metric units word problems
Word problems on simple interest
Word problems on compound interest
Word problems on types of angles
Complementary and supplementary angles word problems
Markup and markdown word problems
Word problems on mixed fractrions
One step equation word problems
Linear inequalities word problems
Ratio and proportion word problems
Word problems on sets and venn diagrams
Pythagorean theorem word problems
Percent of a number word problems
Word problems on constant speed
Word problems on average speed
Word problems on sum of the angles of a triangle is 180 degree
OTHER TOPICS
Time, speed and distance shortcuts
Ratio and proportion shortcuts
Domain and range of rational functions
Domain and range of rational functions with holes
Graphing rational functions with holes
Converting repeating decimals in to fractions
Decimal representation of rational numbers
Finding square root using long division
L.C.M method to solve time and work problems
Translating the word problems in to algebraic expressions
Remainder when 2 power 256 is divided by 17
Remainder when 17 power 23 is divided by 16
Sum of all three digit numbers divisible by 6
Sum of all three digit numbers divisible by 7
Sum of all three digit numbers divisible by 8
Sum of all three digit numbers formed using 1, 3, 4
Sum of all three four digit numbers formed with non zero digits
