Mastering Geometry: Vertical, Corresponding, Alternate Interior, And Alternate Exterior Angles

vertical, corresponding, alt interior, alt exterior,

Name the angle pairs that are congruent

Vertical angles are a pair of opposite angles that are formed when two lines intersect. The angles are equal in measure, which means that they have the same degree of opening. For example, if angle A is 60 degrees, then its vertical angle, angle B, will also be 60 degrees.

Corresponding angles are formed when a transversal intersects two parallel lines. Corresponding angles are the angles that are on the same side of the transversal and in matching positions with respect to the parallel lines. Corresponding angles are congruent, which means they have the same measure. For example, if angle A is 70 degrees, then its corresponding angle, angle B, will also be 70 degrees.

Alternate interior angles are formed when a transversal intersects two parallel lines. Alternate interior angles are the angles that are on opposite sides of the transversal and inside the parallel lines. Alternate interior angles are congruent, which means they have the same measure. For example, if angle A is 100 degrees, then its alternate interior angle, angle B, will also be 100 degrees.

Alternate exterior angles are formed when a transversal intersects two parallel lines. Alternate exterior angles are the angles that are on opposite sides of the transversal and outside the parallel lines. Alternate exterior angles are congruent, which means they have the same measure. For example, if angle A is 110 degrees, then its alternate exterior angle, angle B, will also be 110 degrees.

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