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When are alternate interior angles congruent?

When two parallel lines are both intersected by a tranversal which is a nonvertical line, otherwise all angles formed by that intersection are right angles.


What is the sum of a corresponding angle?

The sum of corresponding angles, when two parallel lines are intersected by a transversal, is equal to 180 degrees. Corresponding angles are formed on the same side of the transversal and in matching corners. If the lines are parallel, the pairs of corresponding angles are congruent, meaning they are equal in measure. If the lines are not parallel, the corresponding angles do not have a specific sum.


If two parallel line are intersected by a transversal line what patters can you expect to find in the measures of angles formed?

If the transversal is at right angles, then all the angles will be right angles. If not, there will be only two different measures between the eight angles formed. These will alternate.


A pair of angles formed by two lines intersected by a third?

There are at least 28 different pairs of angles: 66 if the first two lines are not parallel. Your question needs to be more specific as to which angles you mean.


What are three biconditionals about parallel lines and transversals?

Three biconditionals regarding parallel lines and transversals are: If two lines are parallel, then corresponding angles formed by a transversal are congruent. If a transversal intersects two lines such that alternate interior angles are congruent, then the lines are parallel. If two lines are cut by a transversal and the same-side interior angles are supplementary, then the lines are parallel.

Related Questions

Corresponding angles formed when parallel lines are intersected by a transversal are congruent?

true


When are alternate interior angles congruent?

When two parallel lines are both intersected by a tranversal which is a nonvertical line, otherwise all angles formed by that intersection are right angles.


What is the sum of a corresponding angle?

The sum of corresponding angles, when two parallel lines are intersected by a transversal, is equal to 180 degrees. Corresponding angles are formed on the same side of the transversal and in matching corners. If the lines are parallel, the pairs of corresponding angles are congruent, meaning they are equal in measure. If the lines are not parallel, the corresponding angles do not have a specific sum.


If two parallel line are intersected by a transversal line what patters can you expect to find in the measures of angles formed?

If the transversal is at right angles, then all the angles will be right angles. If not, there will be only two different measures between the eight angles formed. These will alternate.


A pair of angles formed by two lines intersected by a third?

There are at least 28 different pairs of angles: 66 if the first two lines are not parallel. Your question needs to be more specific as to which angles you mean.


What are three biconditionals about parallel lines and transversals?

Three biconditionals regarding parallel lines and transversals are: If two lines are parallel, then corresponding angles formed by a transversal are congruent. If a transversal intersects two lines such that alternate interior angles are congruent, then the lines are parallel. If two lines are cut by a transversal and the same-side interior angles are supplementary, then the lines are parallel.


How many pairs of alternate interior angles are formed by two lines that are intersected by a transversal?

Providing that the lines are parallel that the transversal passes through then it will have two equal alternate angles that are on opposite sides of the transversal.


Can all alternate interior and corresponding angles formed by two parallel lines and a transversal be congruent?

Sure. Just as long as the transversal is perpendicular to the parallel lines.


What are the different types of congruent angles?

Congruent angles are angles that have the same measure, regardless of their orientation or position. The different types of congruent angles include complementary angles (two angles that sum to 90 degrees), supplementary angles (two angles that sum to 180 degrees), and vertical angles (angles opposite each other when two lines intersect). Additionally, corresponding angles formed by a transversal cutting through parallel lines are also congruent.


What kind of angles are pairs of opposite and congruent angles formed by intersecting lines?

Angles that are pairs of opposite and congruent lines formed by intersecting lines are intersections


Which types of angles are always congruent?

vertical angles are always congruent...they are two nonadjacent angles formed by intersecting lines. Vertical angles are congruent..or equal in measure


What are necessary when proving that the opposite sides of a parallelogram are congruent?

A. Corresponding parts of similar triangles are similar.B. Alternate interior angles are supplementary.C. Alternate interior angles are congruent.D. Corresponding parts of congruent triangles are congruent