PreAlgebra Enrichment Classifying Angles Acute angle An angle

Pre-Algebra Enrichment

Classifying Angles Acute angle- An angle that measures less than 90 degrees. n Obtuse angle- An angle that measures more than 90 degrees and less that 180 degrees. n Right Angle- An angle that measures 90 degrees. n

Question #1 If an angle is 180 degrees it is a(n)… n Right Angle n Straight Angle n Obtuse Angle n Acute Angle

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Correct! Great job! It is a straight angle. Please continue.

Classifying Triangles (based on sides) Equilateral Triangle- A triangle with three equal sides n Isosceles Triangle- A triangle with at least two equal sides n Scalene Triangle- A triangle with no equal sides n

Classifying Triangles (based on angles) n n Right Triangle- A triangle containing a right angle Acute Triangle- A triangle that has three acute angles Obtuse Triangle- A triangle that has one obtuse angle and two acute angles Equiangular Triangle- A triangle that has three equal angles

Question #1 A If a triangle has three equal sides it is called… n Equiangular n Equilateral n Isosceles n Scalene

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Question #2 A triangle with an angle greater than 90 degrees is called… n An acute triangle n An isosceles triangle n An obtuse triangle n A right triangle

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Question #3 What kind of triangle is this: ¨ Right Triangle ¨ Scalene Triangle ¨ Neither Right or Scalene ¨ Both Right and Scalene

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General Triangle Properties n Triangles are three-sided polygons. n All triangles have an angle sum of 180 degrees based on the Triangle Sum Theorem.

Question #4 A triangle with 4 sides must have an angle sum of: n 180 n 360 n 240 n A triangle cannot have 4 sides.

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Question #5 What is the angle sum of: n 360 degrees n 180 degrees n 270 degrees n There is no way of knowing what the angle sum is.

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Angle Pairs: n Complementary Angles- angles that have measures that add to 90 degrees. n Supplementary Angles- angles that have measures that add to 180 degrees.

Question #6 The following angles are considered… n Complementary n Supplementary n Complementary and Supplementary n None of the Above

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Question #7 A 6 sided figure is called what and has a degree measure of what? n Hexagon, 540 n Hexagon, 720 n Heptagon, 540 n Heptagon, 720

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Congruency n Congruent is another word for equal.

Question #8 The second angle of a triangle is two times the measure of the first angle. The third angle is 3 times the measure of the second angle what is the measure of each angle? n 1 st- 30º, 2 nd- 60º, and 3 rd- 90º n 1 st- 20º, 2 nd- 40º, and 3 rd- 120º n 1 st- 20º, 2 nd- 60º, and 3 rd- 100º

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Question #9 If two sides of a triangle are said to be congruent that means that they are different lengths. True or False. n n True False

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Transversals of Parallel Lines A transversal is a line that intersects any two or more other lines. n When a transversal intersects parallel lines the angles formed have the following properties: 1. All acute angles formed are congruent. 2. All obtuse angles formed are congruent. 3. Any acute angle is supplementary to any obtuse angle formed. n

Question #10 What types of angles are 4 and 6? • Corresponding Angles Alternate Interior Angles Alternate Exterior Angles

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Question #11 What types of angles are 2 and 6? • The angles are alternate interior. • The angles are corresponding. • The angles are vertical. • Not enough information.