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Types of Angles
Pairs of Angles
- vertical angles: formed by two intersecting lines, are opposite (across) from each other, share a vertex, and all vertical angles are congruent.
- congruent angles: have the same measure
- adjacent angles: have a common vertex AND a common side
- complementary angles: when the sum of two angles is 90 degrees
- supplementary angles: when the sum of two angles is 180 degrees
- perpendicular lines: cross at 90 degrees
Angles & Parallel Lines
- transversal: line that intersects two lines
- corresponding angles: lie on the same plane of the transveral and in corresponding positions (angles 1 & 5, 2 & 6, 3 &7, and 4 & 8)
- interior angles: on the "inside" of the two parallel lines (angles 3, 4, 5, & 6)
- exterior angles: on the "outside" of the two parallel lines (angles 1, 2, 7, & 8)
- alternate interior angles: lie within a pair of lines and on opposite sides of the trasversal (angles 4 & 6 AND 3 & 5)
- alternate exterior angles: lie outside the pair of lines and on opposite sides of the transveral (angles 1 & 7 AND 2 & 8)
Congruent Figures
Congruent figures/polygons have the EXACT same size and shape. These figures may be flipped or rated, just as long as they can slide, flip, or turn to fit EXACTLY on top of the other one.
Similar Figures
Similar figures are the same EXACT shape but do not have to be the same size. If they are the same size, they are also congruent.
Similar polygons have congruent angles.
Similar polygons have congruent angles.