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If two intersecting lines form congruent adjacent angles, what can you conclude about the lines? find x: Page x of your INB Write down this problem on.

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Presentation on theme: "If two intersecting lines form congruent adjacent angles, what can you conclude about the lines? find x: Page x of your INB Write down this problem on."— Presentation transcript:

1 If two intersecting lines form congruent adjacent angles, what can you conclude about the lines? find x: Page x of your INB Write down this problem on your READY RECALL SHEET Be prepared to explain your answer if you are called on. x

2 ITEMS of BUSINESS Test Rework due TODAY Test Retakes until Tues/Wed (Feb 10/11) To Earn: Rework Complete Unit 7 Practice Test Complete Make an Appointment

3 Have your homework out on your desk.

4 Try this CHALLENGE question: If  1 and  2 are complementary and  1 is 4 times the measure of  2, what is the m  1 ? Hint:Assign  1 = x and  2 = y (Show your Work) x + y = 90 and x = 4y 4y + y = 90 5y = 90 Y = 18

5 LINE AND ANGLE RELATIONSHIPS 10.2 Interior and Exterior Angles

6 Page xx of your INB find x: Get into your Groups x Triangle Sum Theorem Exterior Angle Theorem

7 CUT OUT Your TRIANGLE CARDS

8 ? What is the above angle measure? Lets keep this in mind

9 TRIANGLE SUM ACTIVITY inb

10 Page xx of your INB find x: Get into your Groups x Triangle Sum Theorem Exterior Angle Theorem

11 TRIANGLE CARDS FILL IN THE INFORMATION The sum of the angles in a triangle is 180. a + b + c = 180

12 TRIANGLE UNKNOWNS ? XX X find x 180-90-45

13 EQUATION CARDS SET UP THE EQUATION AND SOLVE FOR X 2x + 3x + 4x = 180 9x = 180 9 9 x = 20

14 ? Triangle Angle Names Exterior Angle Remote Interior Angles FYI Another Name for Remote Interior Angles are: Non-adjacent Angles

15 EXTERIOR ANGLE THEOREM ACTIVITY inb

16 Page xx of your INB find x: Get into your Groups x Triangle Sum Theorem Exterior Angle Theorem

17 TRIANGLE CARDS FILL IN THE INFORMATION The sum of the Remote Interior Angles equal the measure of the Exterior Angle. a + b = d

18 TRIANGLE UNKNOWNS ? ? 45 + 90 = ? ? ? + 57 = 120 ? + 57 = 120 - 57 -57 ? = 63

19 EQUATION CARDS SET UP THE EQUATION AND SOLVE FOR X 2x + 3x = 105 5x = 105 5 5 x = 21

20 Day 1 – Integer operations, PEMDAS, evaluating 10.2 Interior and Exterior Angles find x: Number 13 on your Homework x x + 62 = 139

21 CHAPTER 10 VOCAB ORGANIZER Now fill out the next 2 blank lines. The sum of the angles in a triangle is 180. a + b + c = 180 The sum of the Remote Interior Angles equal the measure of the Exterior Angle. a + b = d

22 ? From our last Chapter… When figures get bigger, do the angles get bigger? SIMILARITY THEOREM A A’ Sides get bigger... If you had 2 triangles with the same angle measures, would the triangles be similar? 30 25 125 but ANGLES DON’T!

23 ? SIMILARITY THEOREM 25 125 SAME ANGLES SAME SHAPE! IF 2 angles are congruent ‘s are SIMILAR What’s the MINIMUM number of angles you need to know to determine if 2 triangles are similar???

24 Are These Triangles Similar?

25 CHAPTER 10 VOCAB ORGANIZER Now fill in the next blank line. ‘s are SIMILAR

26 SHOW YOUR WORK Worksheet 10.2 Interior and Exterior Angles in a Triangle


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