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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.
Wiki User
∙ 15y ago
Wiki User
∙ 12y agoThey are interior angles that lie on opposite sides of the transversal (the line), they can't be adjacent though
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Which pair of angles are alternate interior angles?
_\_________ .a\b _c\d________ .....\ When a line crosses 2 lines, 8 angles are formed. Four are exterior angles - outside the 2 lines, and four are interior angles. These are labelled a, b, c, d in the diagram. a & d are alternate interior angles because they alternate from one side of the intersecting line to the other; b & c are also alternate interior angles. They are also known as "Z-angles" because the top parallel line, the transversal and the bottom parallel line which define the two angles for the letter Z (or a distorted version of it). If angle a = angle d (in which case angle b = angle c as well), the 2 lines drawn horizontally are parallel. If alternate interior angles are equal, the 2 lines are parallel. OR If you know the lines are parallel, then alternate interior angles must be equal. Not the greatest diagram; please ignore the ... but even a lousy diagram helps. And no, you don't use lower case letters for angles but there shouldn't be any confusion.
in the figure shown, KJ=?
converse of the angle bisector theorem
What is Lami's theorem?
According to Lami's theorem, if a particle under the simultaneous action of three forces is in equilibrium, then each force has a constant ratio with the sine of the angle between the other two forces.
What are exterior angles?
They equal the supplement of the interior angle it is adjacent to. (180-int. angle) E.g: the exterior angles of an equilateral triangle are each equal to 120 degrees.
What type of angle is a 120 degree angle?
A 120 degree angle is an obtuse angle. This means that the angle is between 90 and 180 degrees.
What is PAIC Theorem?
Pair of Alternate Interior angle are Congruent
Which of these is the alternate interior angle of angle hge?
GEF is the alternate interior angle of angle hge.
What angle is an alternate interior angle to angle 4?
4
Which theorem states that the measure of an exterior angle in a triangle is the sum of its remote interior angle measures?
exterior angle theorem
What is PAEC Theorem?
Pairs of Alternate Exterior Angle are Congruent
Why are alternate interior angles and alternate exterior angles both called alternate?
Both alternate interior and alternate exterior angle pairs lie on opposite sides of the transversal.
Which of the following angle pairs are alternate interior angles?
angle 3 and 5
What does alternate interior angle mean?
Alternate int angles are two interior angles which lie on different parallel lines and on opposite sides of a transversal
Which of these is the alternate interior angle of bac?
m<ACD ron duce was here
What is the Exterior Angle Theorem for a Triangle?
An exterior angle of a triangle is equal in measure to the sum of the other two interior angles.
What is the difference between alternate interior angles and interior angles?
An interior angle is an angle defined by two sides of a polygon and that is inside the polygon. Opposite interior angles are specific pairs of interior angles, those that are opposite each other in the polygon. Alternate or opposite interior angles are also angles that lie on opposte sides of the tranversal line that cuts through parallel lines.
How can you find the number of sides of a polygon when you know the interior angle?
360 divided (180-n) This uses the exterior angle theorem and linear pair theorem. This works on regular polygons. All the angles congruent.
