Define the following and give one example
Complementary angles
Supplementary angles
Adjacent angles
Linear Pair
Intersecting lines
Parallel lines
Transversal
Explain with an example: corresponding angle, alternate angles( Interior and Exterior)
State the properties that need to be checked to say the lines are parallel to eachother
Answers
I hope it helps you to understand........
Answer:
1) Two Angles are Complementary when they add up to 90 degrees (a Right Angle). They don't have to be next to each other, just so long as the total is 90 degrees. Examples: ... 5° and 85° are complementary angles.For example, when a rectangular piece of bread in divided in two pieces by cutting along the diagonal, we get to right triangles, each with a pair of complementary angles.
2) Supplementary angles are two angles with a sum of 18 0 ∘ 180 ^\circ 180∘ . A common case is when they lie on the same side of a straight line. For Example The cabinet in your room is flush with the wall, as is common. When you leave the shutter open for some reason, you have supplementary angles formed at the hinge of the shutter.
3) Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap. Angle ABC is adjacent to angle CBD. Because: they have a common side (line CB). For Example Hour, minute and second hand of the clock.
4) A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees. For Example A ladder placed against a building is a real life example of a linear pair.
5) Intersecting lines are two lines that share exactly one point. This shared point is called the point of intersection. Although we're dealing specifically with lines in this lesson, line segments also intersect where they share a common point. For Example Crossroads: Two roads (consider as straight lines) meeting at a common point make crossroads.
6) In geometry, parallel lines are lines in a plane which do not meet; that is, two straight lines in a plane that do not intersect at any point are said to be parallel. For Example Parallel line examples in real life are railroad tracks.
7) In geometry, a transversal is a line that passes through two lines in the same plane at two distinct points. Transversals play a role in establishing whether two other lines in the Euclidean plane are parallel. For Example Zebra crossing on the road.
8) Alternate interior angles are angles that are on the inside of the two lines, and on the opposite sides of the transversal. ... If lines are parallel then corresponding angles are congruent, alternate interior angles are congruent and alternate exterior angles are congruent.
9) (i) Interior and exterior alternate angles are equal.
(ii) Corresponding angles are equal.
(iii) Co-interior or allied angles are supplementary. the pair of corresponding angles is equal, then the two straight lines are parallel to each other.
Step-by-step explanation: