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Taylor thinks these two triangles are similar. Is he right? Explain your answer. find x: Page xx of your INB Write down this problem on your READY RECALL.

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Presentation on theme: "Taylor thinks these two triangles are similar. Is he right? Explain your answer. find x: Page xx of your INB Write down this problem on your READY RECALL."— Presentation transcript:

1 Taylor thinks these two triangles are similar. Is he right? Explain your answer. find x: Page xx of your INB Write down this problem on your READY RECALL SHEET Be prepared to explain your answer if you are called on. Taylor is right!

2 ITEMS of BUSINESS Test Retakes Today and Wednesday 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:

5 LINE AND ANGLE RELATIONSHIPS 10.3 Parallel Lines and a Transversal

6 Page xx of your INB find x: Get into your Groups FOLD and glue in your INB

7 CUT OUT Your ANGLE CARDS

8 CHAPTER 10 VOCAB ORGANIZER

9 ? Transversal PARALLEL LINES & A TRANSVERSAL n m If n is parallel to m A line that intersects two or more lines. HOT LAVA Think of the space between the two parallel lines as a river of Hot Lava and the Transversal as a bridge to cross safely to the other side. We have Angle Pairs with specific names. There are 8 angles made with this Transversal. Corresponding Angles Corresponding Angles Corresponding Angles Corresponding Angles Corresponding Angles Corresponding Angles Corresponding Angles Corresponding Angles Corresponding Angles are in the same spot when you slide up/down the Transversal. Alternate Interior Angles Alternate Interior Angles Alternate Interior Angles Alternate Interior Angles Alternate Interior Angles are between the parallel lines and on Opposite Sides of the Transversal Alternate Exterior Angles are outside the Parallel lines and on Opposite Sides of the Transversal Alternate Exterior Angles Alternate Exterior Angles Alternate Exterior Angles Alternate Exterior Angles Same-Side Interior Angles Same-Side Interior Angles Same-Side Interior Angles Same-Side Interior Angles Same-Side Interior Angles are between the parallel lines and on the SAME SIDE of the Transversal Same-Side Exterior Angles are outside the Parallel lines and on the SAME SIDE of the Transversal Same-Side Exterior Angles Same-Side Exterior Angles Same-Side Exterior Angles Same-Side Exterior Angles Interior Exterior

10 ? transversal PARALLEL LINES & A TRANSVERSAL p s IF... p is parallel to s And a crosses p & s is inside the lines 120 ? ? ? ? ? ? ?

11 ? transversal PARALLEL LINES & A TRANSVERSAL p s IF... p is parallel to s And a crosses p & s is inside the lines 120 ? ? ? ? ? ? ? 60

12 ? PARALLEL LINES & A TRANSVERSAL Vertical & Congruent Linear Pair & Supplementary or

13 INB NOTEBOOK ACTIVITY Color all the congruent angles the same color. You will need 2 colors.

14 Congruent/Supplementary Alternate Exterior Angles Corresponding Angles Same-Side Exterior Angles Corresponding Angles Same-Side Interior Angles Alternate Exterior Angles Corresponding Angles Alternate Interior Angles Alternate Interior Angles Alternate Interior Angles Alternate Exterior Angles Same-Side Interior Angles add to 180 Same-Side Interior Angles Same-Side Exterior Angles add to 180 Same-Side Exterior Angles

15 CHAPTER 10 VOCAB ORGANIZER Let’s Review what we found. A line that intersects two or more lines. -Between the parallel lines -Same side Supplementary (+180) -Outside the parallel lines -Same side Supplementary (+180)

16 INB NOTEBOOK ACTIVITY

17 ANGLE PAIR CARDS FILL IN THE INFORMATION a = b a + b = 180 Angles sum is 180 ° (Supplementary) a = b a + b = 180 Angles sum is 180 ° (Supplementary)

18 LETS TRY SOME PROBLEMS 2 ANSWERS EACH. Identify each pair of angles as corresponding, alternate interior, alternate exterior, same-side interior. ADD TELL IF THEY ARE CONGRUENT OR SUPPLEMENTARY.

19 LETS TRY SOME PROBLEMS 3 ANSWERS EACH. Name the angle relationship, indicate if they are congruent or supplementary AND then find the measure of each angle indicated.

20 Day 1 – Integer operations, PEMDAS, evaluating 10.3 Parallel Lines and a Transversal find x: Number 21 on your Homework

21 10x + 20 = 12x -10x 20 = 2x 2 2 10 = x EQUATION CARDS SET UP THE EQUATION AND SOLVE FOR X 5x + 25 = 135 -25 -25 5x = 110 5 5 x = 22 5x + 25 = 135 5(22) + 25 = 135 3x + 10 = 85 -10 -10 3x = 75 3 3 x = 25 110 + 5x = 180 -110 5x = 70 5 5 x = 14 3(45) + 10 = 145 5(14) + 25 = 95 10(10) + 20 = 120 3(25) + 10 = 85 10x + 20 = 12x 12(10) = 120 85 + 5x + 25 = 180 35 + 3x + 10 = 180 45 + 3x = 180 -45 3x = 135 3 3 x = 45

22 SHOW YOUR WORK Worksheet 10.3 Parallel Lines and a Transversal


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