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2.3AnglePropertiesinTriangles.notebook
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October 24, 2012
May 910:17 AM
Section 2.3Angle Properties in Triangles
Goal: Prove properties of angles in triangles, and use these properties to solve problems.
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Isosceles Triangle:A triangle that has two sides the same length and the two opposite angles arethe same measure.
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Equilateral Triangle:A triangle with all three sides the same length and all three angles the samemeasure.
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Scalene Triangle:A triangle with three different side lengths and angle measurements.
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Acute Triangle:A triangle where each interior angle has a measure less then 90 degrees.
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Right Triangle:A triangle that has one interior angle with a measure of 90 degrees.
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Obtuse Triangle:A triangle with one interior measure that is larger than 90 degrees.
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Exterior Angle of a Polygon:The angle that is formed by a side of a polygon and the extension of an adjacent side.
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Conjecture:The sum of the interior angles of a triangle must add up to 180 degrees.
Use a two column proof to verify the conjecture.
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1 2 3
4 5
Draw an acute triangle, ΔRED. Construct line PQ through vertex D, parallel to RE.
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Angles form a straight line.
Alternate Interior Angles
Alternate Interior Angles
Substitution
1 2 3
4 5
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What can we now say about the interior angle measures of the following triangles?
Equilateral Triangle:
Isosceles Triangle:
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Determine the measure of NMO, MNO, and QMO.Justify you answer.
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2.3 Assignment: Nelson Foundations of Mathematics 11, Sec 2.3, pg, 78‐82
Questions: 1‐ 5, 7, 9 ‐ 14
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Determine the measure of the missing angles. Justify you answer.
Textbook question page 92 #13
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Is FG HI ? How do you know?
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Prove SY AD
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