Unit 3 by Avery Fernandez (Avery's animations) https://padlet.com/avery8871/kzs18in08pxo en-us 2016-11-29 21:13:32 UTC 2016-12-13 03:24:20 UTC hello@padlet.com Congruent avery8871 https://padlet.com/avery8871/kzs18in08pxo/wish/140669709 Identical in form
]]> 2016-11-29 21:20:40 UTC https://padlet.com/avery8871/kzs18in08pxo/wish/140669709 Vertical Angles avery8871 https://padlet.com/avery8871/kzs18in08pxo/wish/140670029 Each pairs of opposite angles form a vertical line
]]> 2016-11-29 21:22:03 UTC https://padlet.com/avery8871/kzs18in08pxo/wish/140670029 alternate interior angles avery8871 https://padlet.com/avery8871/kzs18in08pxo/wish/142722415 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.
]]> 2016-12-09 05:09:38 UTC https://padlet.com/avery8871/kzs18in08pxo/wish/142722415 corresponding angles avery8871 https://padlet.com/avery8871/kzs18in08pxo/wish/142722515 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.
]]> 2016-12-09 05:12:48 UTC https://padlet.com/avery8871/kzs18in08pxo/wish/142722515 alternate exterior angles avery8871 https://padlet.com/avery8871/kzs18in08pxo/wish/142722560 The pairs of angles on opposite sides of the transversal but outside the two lines are called Alternate Exterior Angles.
]]> 2016-12-09 05:14:07 UTC https://padlet.com/avery8871/kzs18in08pxo/wish/142722560 same side interior angles avery8871 https://padlet.com/avery8871/kzs18in08pxo/wish/142722662 two lines that are parallel are intersected by a transversal line, add up to 180 degrees
]]> 2016-12-09 05:16:31 UTC https://padlet.com/avery8871/kzs18in08pxo/wish/142722662 transversal avery8871 https://padlet.com/avery8871/kzs18in08pxo/wish/142722708 A line that cuts across two or more lines
]]> 2016-12-09 05:17:36 UTC https://padlet.com/avery8871/kzs18in08pxo/wish/142722708 skew lines avery8871 https://padlet.com/avery8871/kzs18in08pxo/wish/142722877 lines that are in different planes, are not parallel, and do not intersect.
]]> 2016-12-09 05:22:38 UTC https://padlet.com/avery8871/kzs18in08pxo/wish/142722877 supplementary angles avery8871 https://padlet.com/avery8871/kzs18in08pxo/wish/142723013 2 angles that add up to 180
]]> 2016-12-09 05:26:44 UTC https://padlet.com/avery8871/kzs18in08pxo/wish/142723013 complementary angles avery8871 https://padlet.com/avery8871/kzs18in08pxo/wish/142723042 2 angles that add up to 90
]]> 2016-12-09 05:27:42 UTC https://padlet.com/avery8871/kzs18in08pxo/wish/142723042 vertical angles therom avery8871 https://padlet.com/avery8871/kzs18in08pxo/wish/142723101 if two angles form a pair of vertical angles, then they are congruent]]> 2016-12-09 05:29:21 UTC https://padlet.com/avery8871/kzs18in08pxo/wish/142723101 congruent supplements theorm avery8871 https://padlet.com/avery8871/kzs18in08pxo/wish/142723124 if two angles are supplementary of congruent angles, then two angles are congruent.]]> 2016-12-09 05:29:54 UTC https://padlet.com/avery8871/kzs18in08pxo/wish/142723124 corresponding angles postulate avery8871 https://padlet.com/avery8871/kzs18in08pxo/wish/142723179 if two lines cut by a traversal are parrallel, then corresponding angles are congruent.]]> 2016-12-09 05:31:28 UTC https://padlet.com/avery8871/kzs18in08pxo/wish/142723179 alternate exterior angles theorm avery8871 https://padlet.com/avery8871/kzs18in08pxo/wish/142723222 if two lines cut by a transversal are parallel, then alternate exterior angles are congruent.]]> 2016-12-09 05:32:53 UTC https://padlet.com/avery8871/kzs18in08pxo/wish/142723222 Theorem: Converse of the Corresponding angles postulate avery8871 https://padlet.com/avery8871/kzs18in08pxo/wish/142723263 If two lines are cut by a transversal in such way that corresponding angles are congruent, then the two lines are parallel.]]> 2016-12-09 05:34:34 UTC https://padlet.com/avery8871/kzs18in08pxo/wish/142723263 Converse of the alternate exterior angles theorem avery8871 https://padlet.com/avery8871/kzs18in08pxo/wish/142723304 If two lines are cut by a transversal in such a way that alternate exterior angles are congruent, the the two lines are parallel.]]> 2016-12-09 05:36:18 UTC https://padlet.com/avery8871/kzs18in08pxo/wish/142723304 AAS congruence theorem avery8871 https://padlet.com/avery8871/kzs18in08pxo/wish/142723403 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]]> 2016-12-09 05:39:22 UTC https://padlet.com/avery8871/kzs18in08pxo/wish/142723403 HL congruence theorem avery8871 https://padlet.com/avery8871/kzs18in08pxo/wish/142723459 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.]]> 2016-12-09 05:40:46 UTC https://padlet.com/avery8871/kzs18in08pxo/wish/142723459 If two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel. avery8871 https://padlet.com/avery8871/kzs18in08pxo/wish/143271810 2016-12-13 02:56:38 UTC https://padlet.com/avery8871/kzs18in08pxo/wish/143271810 SSS Post avery8871 https://padlet.com/avery8871/kzs18in08pxo/wish/143271823 If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.]]> 2016-12-13 02:56:52 UTC https://padlet.com/avery8871/kzs18in08pxo/wish/143271823 SAS Post avery8871 https://padlet.com/avery8871/kzs18in08pxo/wish/143271923 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.]]> 2016-12-13 02:58:41 UTC https://padlet.com/avery8871/kzs18in08pxo/wish/143271923 Theorems avery8871 https://padlet.com/avery8871/kzs18in08pxo/wish/143272038 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.]]> 2016-12-13 03:00:40 UTC https://padlet.com/avery8871/kzs18in08pxo/wish/143272038 Isosceles Triangle Theorem avery8871 https://padlet.com/avery8871/kzs18in08pxo/wish/143272941 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]]> 2016-12-13 03:17:42 UTC https://padlet.com/avery8871/kzs18in08pxo/wish/143272941 If two angles of a triangle are congruent, then the sides opposite those angles are congruent avery8871 https://padlet.com/avery8871/kzs18in08pxo/wish/143273110 Corollary: An equiangular triangle is also equilateral]]> 2016-12-13 03:20:08 UTC https://padlet.com/avery8871/kzs18in08pxo/wish/143273110 AAS Theorem avery8871 https://padlet.com/avery8871/kzs18in08pxo/wish/143273198 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]]> 2016-12-13 03:20:53 UTC https://padlet.com/avery8871/kzs18in08pxo/wish/143273198 HL Theorem avery8871 https://padlet.com/avery8871/kzs18in08pxo/wish/143273240 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]]> 2016-12-13 03:21:42 UTC https://padlet.com/avery8871/kzs18in08pxo/wish/143273240 If a point lies on the perpendicular bisector of a segment, then the point is equidistant from the endpoints of the segment avery8871 https://padlet.com/avery8871/kzs18in08pxo/wish/143273300 2016-12-13 03:22:48 UTC https://padlet.com/avery8871/kzs18in08pxo/wish/143273300 If a point is equidistant from the endpoints of a segment, then the point lies on the perpendicular bisector of the segment. avery8871 https://padlet.com/avery8871/kzs18in08pxo/wish/143273334 2016-12-13 03:23:19 UTC https://padlet.com/avery8871/kzs18in08pxo/wish/143273334