give me theorm of lines and angels...
plz fast guy's...
Answers
Answer:
Axiom 1 If a ray stands on a line, then the sum of two adjacentangles so formed is 180º. Conversely if the sum of two adjacent angles is 180º, then a ray stands on a line (i.e., the non-common arms form a line). ...Theorem 1: If two lines intersect each other, then the vertically opposite angles are equal.
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Answer:
Step-by-step explanation:
Line and Angle Theorems
Consider two parallel lines that are intersected by a third line. (Remember that tick marks
can be used to indicate that two lines are parallel.)
This third line is called a transversal. Note that four angles are created where the transversal intersects each line. Each angle created by the transversal and the top line has a corresponding angle with an angle create by the transversal and the bottom line. These corresponding angle pairs are shown color-coded below. How do you think these corresponding angles are related?
Your intuition and knowledge of translations might suggest that these angles are congruent. Imagine translating one of the angles along the transversal until it meets the second parallel line. It will match its corresponding angle exactly. This is known as the corresponding angle postulate:
If two parallel lines are cut by a transversal, then the corresponding angles are congruent.
Remember that a postulate is a statement that is accepted as true without proof. Your knowledge of translations should convince you that this postulate is true.