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Review – Chapter 1. Essentials of Geometry. Ms. Rinaldi Geometry. Points, Lines, and Planes. m. Point – Indicates a location •A Point A Line – A straight path that extends in opposite directions without end. Line m ,
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Review – Chapter 1 Essentials of Geometry Ms. Rinaldi Geometry
Points, Lines, and Planes m Point – Indicates a location •A Point A Line – A straight path that extends in opposite directions without end. Line m, Plane – A flat surface that extends without end and has no thickness. Name by three capital letters or bold letter in corner. Collinear Points – Points that lie on the same line. Coplanar Points – Points that lie on the same plane. Segment – A line that ends Ray – A line that goes in one direction Opposite Ray – Rays in opposite directions on the same line Midpoint – The point that divides the segment into two congruent segments. Segment Bisector – A point, ray, line, segment or plane that intersects the segment at its midpoint. (Cuts the segment in half) B A
Give 2 names for line m. Name 3 collinear points. Name a point not coplanar with V, S, and T. Name the plane containing the points V, S, and T. Name the intersection of line n and line m. Identify Points, Lines, and Planes
Opposite Rays and are opposite rays. Name another pair of opposite rays.
A A B B C C Segment Addition Postulate a) Find AC. b) Find AB if AC = 37. 13 7 11
Bisectors J is the midpoint of XY. Find XJ if XY = 220.
The Midpoint Formula The coordinates of the midpoint of a segment are the… Find the midpoint of the segment with endpoints (-1, 8) and (7, -4)
The Distance Formula Find the distance between the points (3, 9) and (-2, 5)
Given that EFGis a right angle, find mEFH andm HFG. Angle Addition
Given that 1 is a complement of 2 and m1 = 68°, • find m2. b. Given that 3 is a supplement of 4and m 4=56°, find m3.
Find the values of x and y. (8x + 30)° 2x° 5y°
Polygons Properties: -Plane figure (flat) -Closed -Straight sides -Doesn’t cross itself *A circle is not a polygon* Convex – All corners point out Concave – A corner “caves” in
Regular Polygons Equilateral – All sides equal Equiangular – All angles equal Regular – Both
a. b. c. Classify the polygon by the number of sides. Tell whether it is concave or convex. Then, tell whether the polygon is equilateral, equiangular, or regular. Explain your reasoning.
Regular Figures The figure is a regular hexagon. Find the length of one of the sides. 2x + 2 5x – 7