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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.
What angle relationships created when lines are cut by transversal?
1. Alternate Interior Angles 2. Alternate Exterior Angles 3. Corresponding Angles 4. Same-Side Interior Angles 5. Same-Side Exterior Angles
What angle is an alternate interior angle to angle 4?
4
If angles a and b are alternate angles what is the measure of angle b if angle a measures 105?
Alternate angles are equal and so angle b is also 105 degrees
Interior angle of a convex quadrilateral?
The following are angles in a convex quadrilateral: Angle A = 80 degrees Angle B = 98 degree Angle C = 70 degrees What is the measure of the missing angle?
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.
Alternate interior angle theorem?
The alternate interior angle theorem states that when two parallel lines are cut by a transversal, the alternate interior angles formed are congruent. In other words, if two parallel lines are crossed by a third line, then the pairs of alternate interior angles are equal in measure.
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
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.
What is true of the measure of alternate interior angles?
use a full circle protractor to draw and label the following angle: toe:48 degrease
What angle relationships created when lines are cut by transversal?
1. Alternate Interior Angles 2. Alternate Exterior Angles 3. Corresponding Angles 4. Same-Side Interior Angles 5. Same-Side Exterior Angles
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.
Which of these is the alternate interior angle of angle hge?
GEF is the alternate interior angle of angle hge.
Are alternate interior angles complementary?
Not NecessarilyAlternate interior angles are congruent, or equal. They have the same angle measure, while complementary means they add up to 90 degrees. Therefore, the only time alternate interior angles are complementary is when they are exactly 45 degrees.
What are Alternating Interior Angles?
Alternate interior angles are nonadjacent interior angles on opposite sides of the transversal.They are the equal alternate angles that lie on the transversal line that passes through parallel lines
What angle is an alternate interior angle to angle 4?
4
To prove that two lines cut by a transveral are parallel on must show that?
You can show that two lines cut by a transversal are parallel in a number of ways. (1) Show that the consecutive interior angles are supplementary. Let's say your lines are arranged like this (ignore the periods, they're just there so the spacing is right): ......................1 | 2 --------------------|----------------------- .......................8| 3 .........................| ......................7 | 4 --------------------|----------------------- ......................6 | 5 If the lines are parallel, the measures of all the consecutive interior angles should be supplementary. The following should be true: Angle 8 + Angle 3 = 180 degrees Angle 3 + Angle 4 = 180 degrees Angle 4 + Angle 7 = 180 degrees and Angle 7 + Angle 8 = 180 degrees (2) You can also prove that the lines are parallel by showing that the corresponding angles are congruent. Using the line arrangement above, prove any of the following to be true: Angle 1 = Angle 7 Angle 2 = Angle 4 Angle 3 = Angle 5 or Angle 8 = Angle 6 (3) Finally, you can use alternate angles (either interior or exterior). To use alternate interior angles, prove that: Angle 3 = Angle 7 or Angle 4 = Angle 8 To use alternate exterior angles, prove that: Angle 1 = Angle 5 or Angle 2 = Angle 6 Well, there you have it! Best of luck!
