1 / 22

SECTION 2.4 Vertical Angles

SECTION 2.4 Vertical Angles. LEARNING TARGETS: 1. Students will be able to use and apply the Vertical Angles Theorem. 2. Students will be able to use and apply the Linear Pair Postulate. VOCABULARY Vertical Angles and Linear Pair. Question:

brosh
Download Presentation

SECTION 2.4 Vertical Angles

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. SECTION 2.4Vertical Angles LEARNING TARGETS: 1. Students will be able to use and apply the Vertical Angles Theorem. 2. Students will be able to use and apply the Linear Pair Postulate. VOCABULARY Vertical Angles and Linear Pair

  2. Question: • What is the relationship between the angles formed by two intersecting lines. • Materials: • Paper • Straightedge • Protractor Page 74

  3. STEP 1:

  4. STEP 2:

  5. STEP 3:

  6. THINK ABOUT IT

  7. VOCABULARY: Which of the above angles are vertical? • Vertical Angles: • Two angles that are not adjacent and whose sides are formed by two intersecting lines.

  8. VOCABULARY: Which of the above angles are linear pairs? • Linear Pair: • Two adjacent angles who non-common sides are on the same line.

  9. Example (Notes)

  10. Example (Textbook)

  11. Postulate 7: • Linear Pair Postulate • If two angles form a linear pair, then they are supplementary.

  12. Example (Notes) Find the measure of ∠RSU. Find the measures of ∠HJK and ∠KJN.

  13. Theorem 2.3: • Vertical Angles Theorem

  14. PROOF OF THEOREM:

  15. Example (Textbook)

  16. Example (Notes) Find m∠1, m∠2, and m∠3.

  17. Example (Notes) Find the value of x.

  18. Example (Notes) Find the value of x.

  19. Example (Notes) Find the value of x.

  20. DAILY PUZZLER: When two lines intersect, the measure of one of the angles they form is 20° less than three times the measure of one of the other angles formed. What are the measures of all four angles formed by the two lines?

  21. Cooperative Learning: • Vertical Angles Worksheet

  22. HOMEWORK: • Section 2.4 Assignment • Page 78 #10-50 EVEN, 51-56 ALL • Due Tuesday, 10/25

More Related