12 measuring and constructing segments 2AB.notebook February 05, 2014 When solving equations with variable on both sides 3 cases for solutions I. Solution ⇒ x = 3 II. No Solution ⇒ variables cancel out ex. 5 = 11 III. ALL Real #'s ⇒ reflexive property ex. 3x = 3x 1 12 measuring and constructing segments 2AB.notebook February 05, 2014 Math Humor Carpenter 1: Why did you leave your tape measure in the truck? Carpenter 2: Because we’re entering a construction zone. 2 12 measuring and constructing segments 2AB.notebook February 05, 2014 Objective: Use length and midpoints of segments construct midpoints and congruent segments Postulate l21 Ruler Postulate for every pt on a line there is one # associated with the point example ruler 0 1 2 3 4 5 0° 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 12 measuring and constructing segments 2AB.notebook February 05, 2014 Objective: Use length and midpoints of segments construct midpoints and congruent segments R E C A L L segment part of a line with 2 endpts and include all point between diagram A B notation Symbol words Segment AB 4 12 measuring and constructing segments 2AB.notebook February 05, 2014 Objective: Use length and midpoints of segments construct midpoints and congruent segments coordinate number associated with a point example A 6 B 5 4 3 2 1 0 1 2 coordinate of A is 5 and the coordinate of B is 1 distance (between pts on a segment) subtract coordinates and take absolute value *** notation REMINDER distance is ALWAYS POSITIVE just the letter of the points ⇒ AB (is a number) example: *** the distance from A to B is 6 units 5 12 measuring and constructing segments 2AB.notebook February 05, 2014 Objective: Use length and midpoints of segments construct midpoints and congruent segments length the distance from one point to another example: figure can't have a length 6 12 measuring and constructing segments 2AB.notebook February 05, 2014 Objective: Use length and midpoints of segments construct midpoints and congruent segments Congruent Same SHAPE and size notation example Shape REMINDER number can perform operations with AB and CD Congruent Segments Segments w/ same length 7 12 measuring and constructing segments 2AB.notebook February 05, 2014 Objective: Use length and midpoints of segments construct midpoints and congruent segments construct use geometric tools to reproduce a figure Construction figure created using geometric tools recognized ⇒ arcs on the figure straightedge any object that makes a straight line compass instrument for drawing circles and arcs and measuring distances between points has of two arms linked by a movable joint one arm ending in a point the other usually carrying a pencil or pen. arc portion of circle example 8 12 measuring and constructing segments 2AB.notebook February 05, 2014 Objective: Use length and midpoints of segments construct midpoints and congruent segments Construct Congruent Segments STEPS 1) Draw a line (LONGER THAN GIVEN SEGMENT) 2) Label a point on the line 3) Place pointed end of compass on one endpt of given segment 4) Extend compass so pencil is on 2nd endpt of given segment 5) DO NOT ADJUST compass Place pt of compass on pt on line 6) Make an arc on the line 7) Put a pt where arc intersect line 8) Label 2nd pt on the line **** Verify segments are congruent using ruler 9 12 measuring and constructing segments 2AB.notebook February 05, 2014 Objective: Use length and midpoints of segments construct midpoints and congruent segments Construct Congruent Segments B A line 41° 144 AB = CD = **** Verify segments are congruent by measuring them ruler 0 1 2 3 4 5 0° 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 study notes finish worksheet construct #'s 2 & 3 10
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