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Drill (Day 11) 3) 30, 26, 21, 15, ___, ___, ___ 1) A B C
If AB is 15 and AC is 80 find BC. 2) Is this a good definition? Explain An apple is a fruit that is not an orange. 3) 30, 26, 21, 15, ___, ___, ___
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3) 30, 26, 21, 15, 8, 0, -9 A B C If AB is 15 and AC is 80 find BC.
80 – 15 = 65 therefore BC = 65 An apple is a fruit that is not an orange. No, b/c of the word NOT being used. 3) 30, 26, 21, 15, 8, 0, -9
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Day 11 1.6 Basic Constructions
Objective: The students will be able to construct perpendicular bisectors and angle bisectors, as well as understand their properties.
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Tools For Constructions
Compass Straightedge Patty Paper Geometer’s Sketchpad
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Perpendicular Bisector
Is a line that is perpendicular to a segment and passes through the midpoint. Steps for Construction/Patty Paper Trace the segment on the patty paper. Label Endpoints Fold paper so that the two endpoints match up and unfold. Trace the fold to create your perpendicular bisector
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Fold M B A
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Steps for Construction/Patty Paper
Angle Bisector Is a ray that cuts an angle into two congruent angles. Steps for Construction/Patty Paper Trace the angle on the patty paper Label Points Pinch the vertex and fold the paper so that the two rays that create the angle match up and unfold Trace the fold to create your angle bisector
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C Fold E D B A
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Summary Constructed Perpendicular and Angle Bisectors
Found measures using both types of bisectors Creating angle bisectors will lead us into vertical angles as well as linear angles.
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Drill 1) A B C If AB is 3x and BC is 2x + 10, find BC if AC equals 80 feet. 2) Does the ceiling and your desktop represent parallel planes? (WHY) 3) How many and what type of points do we need to name a plane?
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1.7 Using Deductive Reasoning
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Types of Angles Vertical Angles
Vertical Angles are angles that are opposite each other where two lines intersect. Ex : 1 & 3 as well as 2 & 4
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Types of Angles Adjacent Angles
Adjacent Angles are angles that share a common endpoint and share a common ray. Ex : Angles A and B
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Types of Angles Complementary Angles Two angles that have a sum of 90 degrees.
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Types of Angles Supplementary Angles Two angles that have a sum of 180 degrees.
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Guided Practice
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Guided Practice
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Guided Practice
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1.8 The Coordinate Plane
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Formulas The Distance Formula
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Midpoint Formula
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