Sections 1.5 & 1.6. Notecard 16 Notecard 17 Definitions: Angles Classified by measure : An acute angle has a measure between 0 o and 90 o A right angle.

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Presentation transcript:

Sections 1.5 & 1.6

Notecard 16

Notecard 17 Definitions: Angles Classified by measure : An acute angle has a measure between 0 o and 90 o A right angle has a measure of exactly 90 o An obtuse angle has a measure between 90 o and 180 o A straight angle has a measure of 180 o

Notecard 18 Definition: Congruent Angles Two angle are congruent angles if they have the same measure. To show that two angles in a diagram are congruent, we put a matching arc inside each angle.

Notecard 19 Definition: Angle Bisector : An angle bisector is a ray that divides an angle into two congruent angles.

Notecard 20 Definitions: Complementary and Supplementary Angles Two angles are complementary angles if the sum of their measures is 90 o. Two angles are supplementary angles if the sum of their measures is 180 o.

Notecard 21 Definition: Adjacent angles two angles that share a common vertex and side, but have no common interior points.

Notecard 22 Definition: Linear Pair: Two adjacent angles whose sides form a straight line. The angles in a linear pair are always supplementary.

Notecard 23 Definition: Vertical Angle Pairs: Vertical angles are formed when two lines intersect. The angle pairs only touch at the vertex. There are two pairs of vertical angles formed whenever two lines intersect.

Notecard 24

Notecard 25

Notecard 26 A polygon is a closed two-dimensional shape with straight (not curved) sides.

Notecard 27 A polygon is convex if no line that contains a side of the polygon contains a point in the interior of the polygon. A polygon that is not convex is called concave.

Notecard 28 Definitions: Equilateral polygon - all sides are congruent. Equiangular polygon - all interior angles in the polygon are congruent. Regular polygon - a convex polygon that is both equilateral and equiangular.

Notecard 29 Polygon Names 3 sidesTriangle 4 sidesQuadrilateral 5 sidesPentagon 6 sidesHexagon 7 sidesHeptagon 8 sidesOctagon 9 sidesNonagon 10 sidesDecagon 11 sidesUndecagon 12 sidesDodecagon n sidesn-gon