Are alternate interior angles congruent?
Alternate Interior Angle Theorem The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .
What are interior alternate angles?
If two parallel lines are transected by a third line, the angles which are inside the parallel lines and on alternate sides of the third line are called alternate interior angles. the angles which are inside the parallel lines and on the same side of the third line are called opposite interior angles. …
Are alternate exterior angles supplementary?
The alternate exterior angles that lie outside the lines are intercepted by the transversal. These angles are supplementary to the adjacent angles.
Can consecutive interior angles prove parallel lines?
Consecutive Interior Angles Converse If two lines are cut by a transversal so the consecutive interior angles are supplementary, then the lines are parallel.
Which angles would the consecutive interior angles theorem state are supplementary?
The Theorem The Consecutive Interior Angles Theorem states that the two interior angles formed by a transversal line intersecting two parallel lines are supplementary (i.e: they sum up to 180°).
How do you identify consecutive interior angles?
When two lines are cut by a transversal, the pair of angles on one side of the transversal and inside the two lines are called the consecutive interior angles. In the figure, the angles 3 and 5 are consecutive interior angles.
What angles are alternate interior angles with angle 3?
Since lines m and n are parallel, ∠3=120°. Since ∠1 and 120° form a straight angle, ∠1=180°-120°=60°. Similarly, ∠3 and ∠4 form a straight angle so, ∠4=60°. Alternate interior angles can be used to show similarity for two triangles….Alternate interior angles.
|∠A≅∠E, ∠B≅∠D||congruent alternate interior angles|
|△ABC~△EDC||AA similarity postulate|