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Angles on opposite sides of the transversal and between the parallel lines
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What is the word for this definition Angles that are inside parallel lines that are cut by a transversal?
Alternate and interior angles are created between parallel lines when a transversal line cuts through them.
What does the word regular mean for a geometric shape?
It means that the sides are of equal lengths and that the interior angles are of equal sizes
What is the definition for the word Angle Sum?
An angle sum is the sum (in degrees) of the particular angles you are measuring.
How many interior angle does a haptagon have?
The term heptagon is derived from the latin "hepta" (which means seven) and "gon" (which means angle). Thus, a heptagon has seven interior angles (and seven exterior sides). Another term - septagon - means the same thing.
What is the word for the definition a triangle with all angles measuring less than 90 degrees?
The word would be acute. You could refer to the triangle as an acute triangle. This means all angles measure less than 90 degrees.
What is the word for this definition Angles that are inside parallel lines that are cut by a transversal?
Alternate and interior angles are created between parallel lines when a transversal line cuts through them.
What is the definition of the word irregular polygon?
An irregular polygon has not got all equal sides and all equal interior angles.
What is the definition for the word alternate?
A secondary answer to a similar question. for example: Question - Energy for humans Answer - oil, coal, alternative (derived from the word alternate) answer - solar power, wind
How many vertices does a stAR HAVE?
A star is not a specific shape: it is a generic word for a shape which has an even number of vertices. The interior angles at alternate vertices are usually reflex angles. A star can have six or more vertices.
Another definition for the word interior?
is inner;inland;privite;interior part;domestic affairs of a country in and out of a center
What word means an alternate word?
A word that means an alternate word, with the same definition is a synonym. Comment: Just for information, I live in England. We don't normally use the word "alternate" to mean "a possible choice between things". We use the word "alternative". When I joined "Answers" it took me a couple of minutes to figure out what "Edit alternates" meant.
Why do people say funny instead of weird sometimes?
It is an alternate definition of the word - weird as opposed to humorous.
What would be a word for the definition of merging two alternate perspectives or ideas into a higher one?
assimilation/amalgamation?
What does the word regular mean for a geometric shape?
It means that the sides are of equal lengths and that the interior angles are of equal sizes
What is the definition for the word Angle Sum?
An angle sum is the sum (in degrees) of the particular angles you are measuring.
What is alternate interior angles?
Let be a set of lines in the plane. A line k is transversal of if # , and # for all . Let be transversal to m and n at points A and B, respectively. We say that each of the angles of intersection of and m and of and n has a transversal side in and a non-transversal side not contained in . Definition:An angle of intersection of m and k and one of n and k are alternate interior angles if their transversal sides are opposite directed and intersecting, and if their non-transversal sides lie on opposite sides of . Two of these angles are corresponding angles if their transversal sides have like directions and their non-transversal sides lie on the same side of . Definition: If k and are lines so that , we shall call these lines non-intersecting. We want to reserve the word parallel for later. Theorem 9.1:[Alternate Interior Angle Theorem] If two lines cut by a transversal have a pair of congruent alternate interior angles, then the two lines are non-intersecting.Figure 10.1: Alternate interior anglesProof: Let m and n be two lines cut by the transversal . Let the points of intersection be B and B', respectively. Choose a point A on m on one side of , and choose on the same side of as A. Likewise, choose on the opposite side of from A. Choose on the same side of as C. Hence, it is on the opposite side of from A', by the Plane Separation Axiom. We are given that . Assume that the lines m and n are not non-intersecting; i.e., they have a nonempty intersection. Let us denote this point of intersection by D. D is on one side of , so by changing the labeling, if necessary, we may assume that D lies on the same side of as C and C'. By Congruence Axiom 1 there is a unique point so that . Since, (by Axiom C-2), we may apply the SAS Axiom to prove thatFrom the definition of congruent triangles, it follows that . Now, the supplement of is congruent to the supplement of , by Proposition 8.5. The supplement of is and . Therefore, is congruent to the supplement of . Since the angles share a side, they are themselves supplementary. Thus, and we have shown that or that is more that one point, contradicting Proposition 6.1. Thus, mand n must be non-intersecting. Corollary 1: If m and n are distinct lines both perpendicular to the line , then m and n are non-intersecting. Proof: is the transversal to m and n. The alternate interior angles are right angles. By Proposition 8.14 all right angles are congruent, so the Alternate Interior Angle Theorem applies. m and n are non-intersecting. Corollary 2: If P is a point not on , then the perpendicular dropped from P to is unique. Proof: Assume that m is a perpendicular to through P, intersecting at Q. If n is another perpendicular to through P intersecting at R, then m and n are two distinct lines perpendicular to . By the above corollary, they are non-intersecting, but each contains P. Thus, the second line cannot be distinct, and the perpendicular is unique. The point at which this perpendicular intersects the line , is called the foot of the perpendicular
Is alternate a compound word?
Alternate is not a compound word.
