Match the justifications for each step in order to prove the Alternate Interior Angles Theorem Note that lines and n are parallel points) angle6 cong-4; angle4 cong angle2; l||n; angle2 cong angle6 #corresponding angles#given Transitive Propertyvertical angles

angle6 cong angle2;

angle4 cong angle4;
l||n;
Transitive Property

Is <6 cong <4 is it corresponding angles ,given, or transitive property, or vertical angles

The statement <6 cong <4 is justified by the property of corresponding angles.

Is <4 cong<2 is it corresponding angles ,given, or transitive property, or vertical angles

The statement <4 cong<2 is justified by the given information.

<2 cong <6 is it corresponding angles ,given, or transitive property, or vertical angles

The statement <2 cong <6 is justified by the transitive property.

<4 Cong <1 is it alternate Interior Angles converse or given, or transitive property, or vertical angles

The statement <4 cong <1 is justified by the Alternate Interior Angles Converse.

<1 Cong <5 is it alternate Interior Angles converse or given, or transitive property, or vertical angles