Transcript Slide 1
Pre-Algebra Enrichment Classifying Angles Acute angle- An angle that measures less than 90 degrees. Obtuse angle- An angle that measures more than 90 degrees and less that 180 degrees. Right Angle- An angle that measures 90 degrees. Question #1 If an angle is 180 degrees it is a(n)… Right Angle Straight Angle Obtuse Angle Acute Angle Sorry! Your answer was incorrect, please try again! Correct! Great job! It is a straight angle. Please continue. Classifying Triangles (based on sides) Equilateral Triangle- A triangle with three equal sides Isosceles Triangle- A triangle with at least two equal sides Scalene Triangle- A triangle with no equal sides Classifying Triangles (based on angles) 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 #1A If a triangle has three equal sides it is called… Equiangular Equilateral Isosceles Scalene OOPS! Sorry, that was incorrect, you better review your triangle information and then try again! Congratulations! You know your stuff! Continue on to further test your triangle knowledge. Question #2 A triangle with an angle greater than 90 degrees is called… An acute triangle An isosceles triangle An obtuse triangle A right triangle Sorry! Your answer was incorrect, please try again! Correct! Great job! It is an obtuse triangle. Please continue. Question #3 What kind of triangle is this: Right Triangle Scalene Triangle Neither Right or Scalene Both Right and Scalene Incorrect! Correct! General Triangle Properties Triangles are three-sided polygons. 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: 180 360 240 A triangle cannot have 4 sides. OOPS! Excellent! Question #5 What is the angle sum of: 360 degrees 180 degrees 270 degrees There is no way of knowing what the angle sum is. Sorry! Great Job! Angle Pairs: Complementary Angles- angles that have measures that add to 90 degrees. Supplementary Angles- angles that have measures that add to 180 degrees. Question #6 The following angles are considered… Complementary Supplementary Complementary and Supplementary None of the Above Incorrect Correct! Question #7 A 6 sided figure is called what and has a degree measure of what? Hexagon, 540 Hexagon, 720 Heptagon, 540 Heptagon, 720 OOPS! Excellent! Congruency 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? 1st- 30º, 2nd- 60º, and 3rd- 90º 1st- 20º, 2nd- 40º, and 3rd- 120º 1st- 20º, 2nd- 60º, and 3rd- 100º Sorry! Great Job Question #9 If two sides of a triangle are said to be congruent that means that they are different lengths. True or False. True False Incorrect Correct Transversals of Parallel Lines A transversal is a line that intersects any two or more other lines. 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. Question #10 What types of angles are 4 and 6? • Corresponding Angles QuickTime™ and a TIFF (Uncompressed) decompressor are needed to see this picture. Alternate Interior Angles Alternate Exterior Angles OOPS! Excellent! 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. QuickTime™ and a TIFF (Uncompressed) decompressor are needed to see this picture. Wrong Answer Correct Question #12 What types of angles are 1 and 7? • Vertical Angles • Corresponding Angles • Alternate Exterior Angles • Alternate Interior Angles QuickTime™ and a TIFF (Uncompressed) decompressor are needed to see this picture. OOPS! Great Job! Slope The slope of any line is: Vertical Change Horizontal Change Which is the same as: Rise Run Question #13 What is the slope of the top line? • 1 • -1 2 -2 QuickTime™ and a TIFF (Uncompressed) decompressor are needed to see this picture. Incorrect Correct Question #14 What is the slope of this line? 0 1 Not enough information. OOPS! Great Job Question # 15 What is the slope of this line? 1 0 Undefined -1 Not Enough Information Sorry Excellent The End!