# data[].attributes.headline
If a point is equidistant from the endpoints of a segment, then the point lies on the perpendicular bisector of the segment.

# data[].attributes.subject
If a point is equidistant from the endpoints of a segment, then the point lies on the perpendicular bisector of the segment.

# data[].attributes.headline
If a point lies on the perpendicular bisector of a segment, then the point is equidistant from the endpoints of the segment

# data[].attributes.subject
If a point lies on the perpendicular bisector of a segment, then the point is equidistant from the endpoints of the segment

# data[].attributes.body
If the hypotenuse and a leg of one right triangle are congruent to the corresponding parts of another right triangle, then the triangles are congruent

# data[].attributes.body
If two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent

# data[].attributes.headline
If two angles of a triangle are congruent, then the sides opposite those angles are congruent

# data[].attributes.subject
If two angles of a triangle are congruent, then the sides opposite those angles are congruent

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Corollary: An equiangular triangle is also equilateral

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If two sides of a triangle are congruent, then the angles opposite those sides are congruent.
Corollary 1:An equilateral triangle is also equiangular
Corollary 2:An equilateral triangle has three 60 degree angles
Corollary 3:The bisector of the vertex angle of an isosceles triangle is perpendicular to the base at its midpoint

# data[].attributes.body
If two parallel planes are cut by a third plane, then the lines of intersection are parallel

If two parallel lines are cut by a transversal, then alternate interior angles are congruent

If two parallel lines are cut by a transversal, then same-side interior angles are supplementary

If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other one also.

If two lines are cut by a transversal and alternate interior angles are congruent, then the lines are parallel

If two lines are cut by a transversal and same-side interior angles are supplementary, then the lines are parallel

In a plane two lines perpendicular to the same line are parallel

Through a point outside a line, there is exactly one line parallel to the given line

Through a point outside a line, there is exactly one line perpendicular to the given line.

Two lines parallel to a third line are parallel to each other

The sum of the measure of the angles of a triangle is 180
Corollary 1:If two angles of one triangle are congruent to two angles of another triangle, the the third angles are congruent
Corollary 2:Each angle of an equiangular triangle has measure 60
Corollary 3:In a triangle, there can be at most one right angle or obtuse angle
Corollary 4:The acute angles of a right triangle are complementary

The measure of an exterior angle of a triangle equals the sum of the measures of the two remote interior angles.

# data[].attributes.body
If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

# data[].attributes.body
If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

# data[].attributes.headline
If two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel.

# data[].attributes.subject
If two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel.

# data[].attributes.body
If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and corresponding angles of another right triangle, then the two triangles are congruent.

# data[].attributes.body
If two angles and a non included side of one triangle are congruent to the corresponding angles and non included side of another triangle, then the triangles are congruent

# data[].attributes.headline
Converse of the alternate exterior angles theorem

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Converse of the alternate exterior angles theorem

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If two lines are cut by a transversal in such a way that alternate exterior angles are congruent, the the two lines are parallel.

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Theorem: Converse of the Corresponding angles postulate

# data[].attributes.subject
Theorem: Converse of the Corresponding angles postulate

# data[].attributes.body
If two lines are cut by a transversal in such way that corresponding angles are congruent, then the two lines are parallel.

# data[].attributes.body
if two lines cut by a transversal are parallel, then alternate exterior angles are congruent.

# data[].attributes.body
if two lines cut by a traversal are parrallel, then corresponding angles are congruent.

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if two angles are supplementary of congruent angles, then two angles are congruent.

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if two angles form a pair of vertical angles, then they are congruent

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2 angles that add up to 90

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2 angles that add up to 180

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lines that are in different planes, are not parallel, and do not intersect.

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A line that cuts across two or more lines

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two lines that are parallel are intersected by a transversal line, add up to 180 degrees

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The pairs of angles on opposite sides of the transversal but outside the two lines are called Alternate Exterior Angles.

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the angles that occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.

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When two lines are crossed by another line. The pairs of angles on opposite sides of the transversal but inside the two lines are called Alternate Interior Angles.

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Each pairs of opposite angles form a vertical line

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Identical in form