FC: Geometry Exam Philip Smith 11/20/12 2nd Period
1: Pages 2, 3 - 1.1-1.5 Pages 4, 5 - Angles and their Measures Pages 6 , 7 - Angle and Segment Bisector Pages 8, 9 - Complementary, Supplementary and Vertical Angles Pages 10, 11 - Parallel Lines, angles formed by transversal Pages 12, 13 - Perpendicular Lines Pages 14, 15 - Triangles, Angle Measures Pages 16, 17 - Pythagorean Theorem and Distance Formula Pages 18, 19 - Congruent Triangles Pages 20 , 21 - Polygons
2: Key Words Pattern - A repeated decorative or design Coordinate - The real number that corresponds to a point on a line Intersect - Divide something by passing or laying across it
3: Real World Examples Pattern - Coordinate - Intersect -
4: Angles and Their Measures Angles - Acute - from 1 degree to 89 degrees Right - strictly 90 degrees only Obtuse - from 91 degrees to 179 degrees Straight - strictly 180 degrees only
5: Real World Examples Acute - Right Obtuse - Straight -
6: Segment Bisectors - A segment, ray, line, or plane that intersects a segment at its midpoint. Angle Bisector - Is a ray that divides an angle into two angles that are congruent.
7: Real Life Examples - Segment Bisectors - Angle Bisector -
8: Complementary Angles - Two angles whose measure have a sum of 90 degrees. Supplementary Angles - Two angles whose measure have a sum of 180 degrees. Vertical Angles - Two angles that are not adjacent and whose sides are formed by two intersecting lines.
9: Real World Examples Complementary Angles - Supplementary Angles - Vertical Angles -
10: Parallel Lines - Two planes that do not intersect. Corresponding Angles - Two angles that occupy corresponding positions. Alternate Interior Angles - Two angles that lie between the two lines on the opposite sides of the transversal. Alternate Exterior Angles - Two that lie outside the two lines on the opposite sides of the transversal. Same - Side Interior Angles - Two angles are that lie between the two lines on the same side of the transversal.
11: Pictures - Parallel Lines - Corresponding Angles - Alternate Interior Angles - Alternate Exterior Angles - Same - Side Interior Angles -
12: Perpendicular Lines - Two lines that lie on the same plane and intersect to form a right angle.
13: Perpendicular Lines in Real Life - Windows
14: Triangles and Their Measures - Isosceles Triangle - At least 2 congruent sides Equilateral Triangle - 3 congruent sides Scalene Triangle - No congruent sides Equiangular Triangle - 3 congruent angles Acute Triangle - 3 acute angles Right Triangle - 1 right angle Obtuse Triangle - 1 obtuse angle
15: Isosceles Triangle - Equilateral Triangle - Scalene Triangle - Equiangular Triangle - Acute Triangle - Right Triangle - Obtuse Triangle -
16: Pythagorean Theorem - The theorem that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the lengths of the legs. Distance Formula - AB=the square root of (x2-x1)squared + (y2-y1)squared.
17: Real Life Pythagorean Theorem - Distance Formula -
18: Congruent Triangles - Side-side-side Congruence Postulate (SSS) - If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent. Side-Angle-Side Congruence Postulate (SAS) - If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle,then the two triangles are congruent. Angle-Side-Angle Congruence Postulate (ASA) - If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent. Angle-Angle-Side Congruence Postulate (AAS) - If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent. Hypotenuse Leg Congruence Postulate (HL) - If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of a second right triangle, they are congruent.
19: Real World Examples - SSS - SAS - ASA - AAS - HL -
20: Polygons - A plane figure that is formed by 3 or more segments called sides. Rectangle - A parallelogram with 4 right angles. Parallelogram - A quadrilateral with both pairs of opposite sides parallel. Rhombus - A parallelogram with 4 congruent sides. Square - A parallelogram with 4 congruent sides and 4 right angles.
21: Real Life - Polygons - Rectangle - Parallelogram - Rhombus - Square -
22: Extra Credit - Point - Has no dimension, represented by a small dot. Line - Has one dimension, It extends without end in two directions, represented by a line with two arrowheads. Plane - Has two dimensions, It is represented by a shape that looks like a floor or wall, Segment - Part of a line that consists of two points, called endpoints, and all points on the line that are between the endpoints. Ray - A point which is connected with a line and an arrowhead.
23: Pictures - Point - Line - Plane - Segment - Ray -