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Vocabulary

Insert Lesson Title Here. Basic Geometry Part 1. Vocabulary. perpendicular lines right angle parallel lines acute angle skew lines obtuse angle vertical angles straight angle transversal complementary angles supplementary angles. Parallel vs. Perpendicular.

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Vocabulary

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  1. Insert Lesson Title Here Basic Geometry Part 1 Vocabulary perpendicular lines right angle parallel lines acute angle skew lines obtuse angle vertical angles straight angle transversal complementary angles supplementary angles

  2. Parallel vs. Perpendicular Angles formed by two intersecting lines are equal to 90°, the lines are perpendicular lines. Lines in the same plane that do not intersect at all are parallel lines. Skew lines do not intersect, and yet they are also not parallel.

  3. Vertical Angles Vertical angles are the opposite angles formed by two intersecting lines. When two lines intersect, two pairs of vertical angles are formed. Vertical angles have the same measure, so they are congruent.

  4. What is a Transversal? A transversalis a line that intersects two or more lines. Eight angles are formed when a transversal intersects two lines. When those two lines are parallel, all of the acute angles formed are congruent, and all of the obtuse angles formed are congruent. These obtuse and acute angles are supplementary. 1 2 3 4 5 6 7 8

  5. An angle’s measure determines the type of angle it is. A right angle is an angle that that measures exactly 90°. The symbol indicates a right angle An acute angle is an angle that measures less than 90° Anobtuse angle is an angle that measures more than 90° but less than180° A straightangle is an angle that measures 180°

  6. Complement vs. Supplement If the sum of the measures of two angles is 90°, then the angles are complementary angles. If the sum of the measures of two angles is 180°, then the angles are supplementary angles.

  7. Example 1: Line n line p. Find the measure of the angle. 2 = 130° 3 = 50° 4 = 130°

  8. Example to Try: Line x line y. Find the measure of the angle. 45° 4 5 6 3 = 2 3 135° 7 6 = x y 4 =

  9. Angles Tell whether each angle is acute, right, obtuse or straight and the degrees of each angle. A. B. C. obtuse angle Greater than 90 ° right angle 90° acute angle Less than 90 °

  10. Example 2: m QMP = 90° and m PMR = 30° + 60° = 90° m OMP = 30° and m OMR = 60° N Q 60° 90° P OMP and OMR are complementary. Since 90° + 90° = 180°, M 30° O 60° R QMP and PMR are supplementary. Use the figure to name the following. 1) one pair of complementary angles Since 30° + 60° = 90°, 2) one pair of supplementary angles

  11. N Q 45° 100° P M 35° O 55° R Example to Try: Use the figure to name the following. 1) one pair of complementary angles 2) one pair of supplementary angles

  12. Summary: What did we just cover and what is your confidence level with the material? Do you still have any questions?

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