1 / 28

Geometry CP Section 1-5 Angle Relationships Wednesday, Sept 5, 2012

Geometry CP Section 1-5 Angle Relationships Wednesday, Sept 5, 2012. Refer to the figure. Name the vertex of  3. A. A B. B C. C D. D. 5-Minute Check 1. Refer to the figure. Name a point in the interior of  ACB. A. G B. D C. B D. A. 5-Minute Check 2. A. DB B. AC C. BD D. BC.

destiny-weber
Download Presentation

Geometry CP Section 1-5 Angle Relationships Wednesday, Sept 5, 2012

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Geometry CP Section 1-5 Angle Relationships Wednesday, Sept 5, 2012

  2. Refer to the figure. Name the vertex of 3. A.A B.B C.C D.D 5-Minute Check 1

  3. Refer to the figure. Name a point in the interior of ACB. A.G B.D C.B D.A 5-Minute Check 2

  4. A.DB B.AC C.BD D.BC Refer to the figure. Which ray is a side of BAC? 5-Minute Check 3

  5. Refer to the figure. Name an angle with vertex B that appears to be acute. A. ABG B. ABC C. ADB D. BDC 5-Minute Check 4

  6. Refer to the figure. If bisects ABC, mABD = 2x + 3, andmDBC = 3x – 13, find mABD. A. 41 B. 35 C. 29 D. 23 5-Minute Check 5

  7. OP bisects MON and mMOP = 40°. Find the measure of MON. A. 20° B. 40° C. 60° D. 80° 5-Minute Check 6

  8. You measured and classified angles. • Identify and use special pairs of angles. • Identify perpendicular lines. Then/Now

  9. adjacent angles • linear pair • vertical angles • complementary angles • supplementary angles • perpendicular Vocabulary

  10. Concept

  11. Identify Angle Pairs A. ROADWAYS Name an angle pair that satisfies the condition two angles that form a linear pair. A linear pair is a pair of adjacent angles whose noncommon sides are opposite rays. Sample Answers:PIQ and QIS, PIT and TIS, QIU and UIT Example 1

  12. Identify Angle Pairs B. ROADWAYS Name an angle pair that satisfies the condition two acute vertical angles. Sample Answers:PIU and RIS, PIQ and TIS, QIR and TIU Example 1

  13. A. Name two adjacent angles whose sum is less than 90. A.CAD and DAE B.FAE and FAN C.CAB and NAB D.BAD and DAC Example 1a

  14. B. Name two acute vertical angles. A.BAN and EAD B.BAD and BAN C.BAC and CAE D.FAN and DAC Example 1b

  15. Concept

  16. Name two adjacent angles whose sum is supplementary

  17. Angle Measure ALGEBRA Find the measures of two supplementary angles if the measure of one angle is 6 less than five times the measure of the other angle. UnderstandThe problem relates the measures of two supplementary angles. You know that the sum of the measures of supplementary angles is 180. Plan Draw two figures to represent the angles. Example 2

  18. Angle Measure Solve 6x – 6 = 180 Simplify. 6x = 186 Add 6 to each side. x = 31 Divide each side by 6. Example 2

  19. Angle Measure Use the value of x to find each angle measure. mA = x mB = 5x – 6 = 31 = 5(31) – 6 or 149 Check Add the angle measures to verify that the angles are supplementary. mA + mB = 180 31 + 149 = 180 180 = 180  Answer:mA = 31, mB = 149 Example 2

  20. ALGEBRA Find the measures of two complementary angles if one angle measures six degrees less than five times the measure of the other. A. 1°, 1° B. 21°, 111° C. 16°, 74° D. 14°, 76° Example 2

  21. Concept

  22. A.x = 5 B.x = 10 C.x = 15 D.x = 20 Example 3

  23. Interpret Figures A. Determine whether the following statement can be justified from the figure below. Explain. mVYT = 90 Example 4

  24. Interpret Figures B. Determine whether the following statement can be justified from the figure below. Explain. TYW andTYU are supplementary. Answer: Yes, they form a linear pair of angles. Example 4

  25. Interpret Figures C. Determine whether the following statement can be justified from the figure below. Explain. VYW andTYS are adjacent angles. Answer: No, they do not share a common side. Example 4

  26. A. Determine whether the statement mXAY = 90 can be assumed from the figure. A. yes B. no Example 4a

  27. B. Determine whether the statement TAU iscomplementarytoUAY can be assumed from the figure. A. yes B. no Example 4b

  28. C. Determine whether the statement UAX isadjacenttoUXA can be assumed from the figure. A. yes B. no Example 4c

More Related