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Do Now Draw each figure. 1. line segment 2. line 3. ray 4. plane Course 2 8-3 EQ : How do I identify parallel, perpendicular, and angles formed by a transversal?

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Presentation on theme: "Do Now Draw each figure. 1. line segment 2. line 3. ray 4. plane Course 2 8-3 EQ : How do I identify parallel, perpendicular, and angles formed by a transversal?"— Presentation transcript:

1 Do Now Draw each figure. 1. line segment 2. line 3. ray 4. plane Course EQ : How do I identify parallel, perpendicular, and angles formed by a transversal? HWK: Wbk P 70

2 M7A2a Given a problem, define a variable, write an equation, solve the equation and interpret the solution.

3 Vocabulary Review Angle – Vertex - right angle - angle that that measures. The symbol Γ indicates a right angle. Insert Lesson Title Here Course 2 Angles

4 acute angle - is an angle that measures obtuse angle - an angle that measures straight angle - is an angle that measures complementary angles – the sum of the measures of two angles is ? 0 supplementary angles – the sum of the measures of two angles is ?°

5 New Vocabulary

6 perpendicular lines - angles formed by two intersecting lines are equal to 90° parallel lines - lines in the same plane do not intersect at all adjacent angles – angles that have a common vertex and a common side, but no common interior points.

7 vertical angles - opposite angles formed by two intersecting lines Transversal - a line that intersects two or more lines corresponding angles - are angles on the same side of the transversal and are both above or both below the parallel lines

8 An angle is formed by two rays with a common endpoint. The two rays are the sides of the angle. The common endpoint is the vertex. Angles are measured in degrees (°). A C B 1 Vertex Course Angles

9 An angles 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°. An obtuse angle is an angle that measures more than 90° but less than180°. A straight angle is an angle that measures 180°. Course Angles

10 Tell whether each angle is acute, right, obtuse or straight. Additional Example 1: Classifying Angles A. B. obtuse angle acute angle Course Angles

11 Check It Out: Example 1 Insert Lesson Title Here Tell whether each angle is acute, right, obtuse, or straight. A. B. straight angle acute angle Course Angles

12 Course Angles You can name this angle ABC,CBA, B, or 1. Reading Math A B C 1

13 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. Course Angles

14 Use the diagram to tell whether the angles are complementary, supplementary, or neither. Course Angles OMP and PMQ complementary. O N P Q R M

15 Course Angles If the angle you are measuring appears obtuse, then it measure is greater than 90°. If the angle is acute, its measure is less than 90°. Reading Math

16 Use the diagram to tell whether the angles are complementary, supplementary, or neither. Course Angles NMO and OMR O N P Q R M

17 Use the diagram to tell whether the angles are complementary, supplementary, or neither. Course Angles PMQ and QMR O N P Q R M

18 Use the diagram to tell whether the angles are complementary, supplementary, or neither. Course Angles BAC and CAF C B D E F A

19 Use the diagram to tell whether the angles are complementary, supplementary, or neither. Course Angles CAD and EAF C B D E F A

20 Use the diagram to tell whether the angles are complementary, supplementary, or neither. Course Angles BAC and EAF C B D E F A

21 Angles A and B are complementary. If mA is 56 °, what is the mB? What is the supplement of A? Course Angles

22 Angles P and Q are supplementary. If mP is 32 °, what is the mQ? What is the complement of P? Course Angles

23 The symbol means is parallel to. The symbol means is perpendicular to. Reading Math Course Angle Relationships

24 Tell whether the lines appear parallel or perpendicular. The lines appear to intersect to form right angles. UV and YV UV YV Course Angle Relationships

25 Tell whether the lines appear parallel or perpendicular. The lines are in the same plane and do not intersect. XY and WZ XY || WZ Course Angle Relationships

26 Tell whether the lines appear parallel or perpendicular. The lines appear to intersect to form right angles. WX and XU WX XU Course Angle Relationships

27 Tell whether the lines appear parallel or perpendicular. The lines are in the same plane and do not intersect. WX and ZY WX || ZY Course Angle Relationships

28 Course Angle Relationships Adjacent angles have a common vertex and a common side, but no common interior points. Angles 2 and 3 in the diagram are adjacent. Adjacent angles formed by two intersecting lines are supplementary

29 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.

30 Angles with the same number of tick marks are congruent. The tick marks are placed in the arcs drawn inside the angles. Course Angle Relationships

31 A transversal is a line that intersects two or more lines. Line t is a transversal. When the lines that are intersected are parallel, four pairs of corresponding angles are formed. Course Angle Relationships

32 Corresponding angles are on the same side of the transversal and are both above or both below the parallel lines. Angles 1 and 5 are corresponding angles. Corresponding angles are congruent.

33 Line n line p. Find the measure of the angles. Course Angle Relationships

34 Line n line p. Find the measure of the angles. 45° ° np Course Angle Relationships

35 Tell whether each angle is acute, right, obtuse, or straight. Insert Lesson Title Here 1. straight obtuse Course Angles TOTD 2.

36 Use the diagram to tell whether the angles are complementary, supplementary, or neither. Insert Lesson Title Here 3. AZB and BZC neither Course Angles TOTD 4. BZC and CZD complementary 5. Angles M and N are supplementary. If M is 117°, what is mN? 63°

37 Tell whether the lines appear parallel, perpendicular, or skew. 1. AB and CD 2. EF and FH perpendicular parallel Insert Lesson Title Here Course Angle Relationships TOTD


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