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- Angles can be equal or congruent; you can replace the word "equal" in both theorems with "congruent" without affecting the theorem. So if ∠B and ∠L are equal (or congruent), the lines are parallel. You could also only check ∠C and ∠K; if they are congruent, the lines are parallel.
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Explain that the alternate interior angles are represented by two angle pairs 3 and 6, as well as 4 and 5 with separate colors respectively. So if ∠ 3 is congruent to ∠ 6, and if ∠ 3 is congruent to ∠ 5, then the two lines are parallel.
Lines are parallel if they are always the same distance apart (called "equidistant"), and will never meet. Just remember: Always the same distance apart and never touching. The red line is parallel to the blue line in each of these examples: Parallel lines also point in the same direction. Parallel lines have so much in common.
Jan 9, 2019 · Suppose two lines $\ell$ and $m$ are not parallel but form congruent alternate interior angles with a third line $n$. Since $\ell$ and $m$ are not parallel, we can thus form a triangle whose sides are segments of $\ell$ , $m$ , and $n$ .
If two lines have a transversal which forms corresponding angles that are congruent, then the two lines are parallel. An exterior angle of a transversal is not congruent to either opposite interior angle.
If two lines are cut by a transversal and the alternate exterior angles are congruent, the lines are parallel. To show that congruent exterior angles will also prove the lines parallel, we will establish a connection between the exterior angles and angles 1 and 2, which are inside the triangles.
Sep 5, 2021 · If two lines are parallel then the interior angles on the same side of the transversal are supplementary (they add uP to \(180^{\circ}\)). If the interior angles of two lines on the same side of the transversal are supplementary then the lines must be parallel.
If two parallel lines are cut by a transversal, the corresponding angles are congruent. If two parallel lines are cut by a transversal, the interior angles on the same side of the transversal are supplementary.
