What is consecutive exterior angles converse?
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What is consecutive exterior angles converse?
Consecutive Exterior Angles : If two lines are cut by a transversal, the pair of angles on the same side of the transversal and outside the two lines are called consecutive exterior angles. In the figure above, ∠1 and ∠8 are consecutive exterior angles, and also ∠2 and ∠7 are consecutive angles.
What is the converse of the same side interior angles theorem?
The Same-Side Interior Angle Converse Conjecture states: “If two lines intersected by a transversal form supplementary same-side interior angles, then the lines are parallel.”
How do you prove the interior angle theorem?
Statement: The theorem states that “ if a transversal crosses the set of parallel lines, the alternate interior angles are congruent”. Proof: Suppose a and d are two parallel lines and l is the transversal that intersects a and d at points P and Q. See the figure given below. Hence, it is proved.
What is the converse of alternate interior angles?
The converse of alternate interior angles theorem states that if two lines are intersected by a transversal forming congruent alternate interior angles, then the lines are parallel.
What is converse alternate interior angles theorem?
If two lines are cut by a transversal so that the alternate interior angles are congruent, then the lines are parallel.
What is a consecutive interior angle?
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.
What is the consecutive interior angles theorem?
If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary.
What is the converse of the corresponding angles theorem?
Converse of the Corresponding Angles Theorem: If two lines and a transversal form corresponding angles that are congruent, then the lines are parallel.
What is converse angle?
If a transversal intersects two parallel lines, then alternate exterior angles are congruent. Converse of the Corresponding Angles Theorem: If two lines and a transversal form corresponding angles that are congruent, then the lines are parallel.
What is converse geometry?
The converse of a statement is formed by switching the hypothesis and the conclusion. The converse of “If two lines don’t intersect, then they are parallel” is “If two lines are parallel, then they don’t intersect.” The converse of “if p, then q” is “if q, then p.”
What is a converse theorem in geometry?
CONVERSE: If two angles of a triangle are congruent, then the sides opposite these angles are congruent.
What does consecutive interior angles look like?
The pairs of angles on one side of the transversal but inside the two lines are called Consecutive Interior Angles. In this example, these are Consecutive Interior Angles: d and f.
How do you write a converse statement?
To form the converse of the conditional statement, interchange the hypothesis and the conclusion. The converse of “If it rains, then they cancel school” is “If they cancel school, then it rains.”
What is converse in geometry?
