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Geometry Review A BASHAM Production. Classifying Triangles memorize the chart SidesAngles EquilateralAcute IsoscelesObtuse ScaleneRight 3 equal sides.

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Presentation on theme: "Geometry Review A BASHAM Production. Classifying Triangles memorize the chart SidesAngles EquilateralAcute IsoscelesObtuse ScaleneRight 3 equal sides."— Presentation transcript:

1 Geometry Review A BASHAM Production

2 Classifying Triangles memorize the chart SidesAngles EquilateralAcute IsoscelesObtuse ScaleneRight 3 equal sides 2 equal sides 0 equal sides < 90 degrees > 90 degrees = 90 degrees

3 What are adjacent angles? How can you tell when angles are adjacent? How can you tell when they are not?

4 Adjacent Angles A&B B&D D&C C&A Share a vertex and a side AB CD

5 Which are Adjacent Angles?

6 What are vertical angles? How can you tell when angles are vertical? What is special about being a vertical angle?

7 Vertical Angles A&D B&C Across from each other, share a vertex but NOT a side AB CD

8 Vertical Angles are CONGRUENT!!!!!! You can always set them equal to each other 2x 40 140 14y 100 80 40x 25y

9 Vertical Angles are CONGRUENT!!!!!! Write an equation for each variable 2x 50 130 13y 70 110 5r 35s

10 What does supplementary mean? What kind of angles do we know are supplementary?

11 Supplementary: any angles that add up to 180 degrees, straight lines are always supplementary A B C D F G H J W X

12 Supplementary: any angles that add up to 180 degrees, write an equation for each variable 98 B C D 87 G H J W 37

13 What does complementary mean? What kind of angles do we know are complementary?

14 Complementary: angles that add up to 90 degrees, right angles are always complementary 90˚ 60˚ 30˚

15 Write an equation for each variable for these complementary angles 76˚ 28˚ y˚ x˚

16 We can always write an equation for a triangle because we know all the angles add up to?????

17 180 degrees

18 Write an equation for each variable X7X 10Xy 72

19 We can locate the longest and shortest sides by looking at the angles & We can locate the smallest and biggest angles by looking at the side measures

20 X Y Z Order the sides from least to greatest 30 80 70

21 X Y Z Order the angles from least to greatest 15 ft20 ft 34 ft

22 How can we tell if 3 lengths will form a triangle???

23 Add the two smaller sides together and the sum needs to be GREATER/BIGGER than the longest side Side 1+ Side 2 > Side 3

24 Now lets apply our knowledge on some harder problems

25

26

27 In ΔABC, m<B = 44x and m<C = 8x. Write and solve an equation to find the measure of each angle.

28 Now lets apply our knowledge on some harder problems. In ∆XYZ, m ∠ X = (32x)° and m ∠ Z = (6.5x)° Write and solve an equation to find the measure of each angle.


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