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Do Now 3/15/13 In your notebook, list as many words as you can that can be associated with “geometry.” For each word draw the matching symbol or figure. Puzzler… Remove 4 of the segments to leave 5 equal squares. Objective identify and describe geometric figures Section 8.1 “Building Blocks of Geometry” Point an exact location, represented as a dot. A L D Z K Plane a flat surface that extends on forever in all directions. How many planes on this figure? Line segment part of a line with 2 endpoints and all the points in between. D EF FE E C CD DC F Line a straight path extending without end in opposite directions. R S ST T RT RS Ray Part of a line that begins at a point and extends in one direction without ending. B A A K AB J K JK Identifying Points, Lines, and Planes Identify the figures in the diagram. G I H F A. four points H, G, I, and F B. two lines IH, HF C. a plane plane IGF Choose any two points on a line to name the line. Choose any three points, not on the same line, in any order. Identifying Line Segments and Rays Identify the figures in the diagram. M N O A. three rays MN, NM, MO Name the endpoint of a ray first. B. two line segments Use the endpoints in any order to name a segment. MN, MO “Similar Figures” Similar Figures Two figures are SIMILAR FIGURES if they have the same shape but not necessarily the same size. The symbol ~ indicates two figures are similar. Properties of similar figures: 1). Corresponding angles are congruent 2). Corresponding sides are proportional (equal ratios) Corresponding angles – matched angles of two figures ABC ~ DEF A D C F When 2 angles have the same measure, they are marked with the same symbol. A D F B E E C B Corresponding sides – matched sides of two figures D A F E C B Congruent Two line segments are congruent when they are the same length. C 3 CD EF EF 3 D E F You can use tick marks to indicate congruent line segments. Congruent Figures Two figures are CONGRUENT FIGURES if they have the same shape AND the same size. Properties of congruent figures: 1). Corresponding angles are congruent 2). Corresponding sides are congruent Identifying Congruent Line Segments Identify the line segments that are congruent in the figure. AB CD One tick mark AC BD Two tick marks BF DF EC AE Three tick marks Reading Math The symbol means “is congruent to.” Given ABC XYZ, find the indicated measure. Z A X 15 45 20 Y 35° C B YX CB 45 15 mZ 90° mY 35° mA 55° Puzzler… Remove 4 of the segments to leave 5 equal squares.