Which of the following statement is CORRECT when parallel lines are cut by a transversal? A. The angles in linear pair are supplementary B. The sum of the degree measure of complementary angles is 180 C. Corresponding angles are congruent D. The sum of the degree measure of corresponding angles is 180
Question
Which of the following statement is CORRECT when parallel lines are cut by a transversal?
A. The angles in linear pair are supplementary B. The sum of the degree measure of complementary angles is 180 C. Corresponding angles are congruent D. The sum of the degree measure of corresponding angles is 180
Solution
The correct statement when parallel lines are cut by a transversal is:
C. Corresponding angles are congruent
Here's why:
A. The angles in a linear pair are supplementary - This is a true statement, but it doesn't specifically apply to parallel lines cut by a transversal. A linear pair is a pair of adjacent angles formed when two lines intersect.
B. The sum of the degree measure of complementary angles is 180 - This is incorrect. Complementary angles are two angles whose measures add up to 90 degrees, not 180.
C. Corresponding angles are congruent - This is correct. When a transversal intersects parallel lines, corresponding angles (angles in the same relative position at each intersection) are congruent (equal in measure).
D. The sum of the degree measure of corresponding angles is 180 - This is incorrect. Corresponding angles are equal (congruent), not supplementary. The sum of the measures of supplementary angles is 180 degrees, not corresponding angles.
Similar Questions
Which one of the following statements regarding angles around two lines and a transversal are not true?Select one:a.When two lines are not parallel then the measures of two corresponding angles will not be equal.b.If the measures of two alternate interior angles are equal then the two lines must be parallel.c.Two interior angles on the same side of a transversal will be supplementary, whether the lines are parallel or not.d.Of two lines are parallel then the measures of any two alternate interior angles will be equal.
When two parallel lines are cut by a transversal, interior angles are supplementary.
If two lines are cut by a transversal so that a pair of alternate interior angles are congruent, then the lines are parallel.
What can you conclude about the interior angles formed when two parallel lines are cut by a transversal?Each pair of alternate interior angles is .Each pair of same-side interior angles is .
Which statements about angles are true? Check all that apply. Supplementary angles have angle measures that add up to 180°. There are three types of angles: acute, straight, and right. Angles that are a linear pair have measures that add up to 180°. Straight lines are also straight angles that measure 180°. Complementary angles have angle measures that add up to 90°.
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