Apply Pythagorean Theorem Find the distance between two points Homework: Study for Unit 3 Test Friday *Missing work due 12/14 (Monday) Learning Targets: Apply Volume Formula Apply Pythagorean Theorem Find the distance between two points W.A.M 7-8

1. Rotate R (2, -7), 180 degrees To rotate point R, 180 degrees, I will change both coordinates to their opposites.

2. Rotate R (2, -7), 90 degrees counterclockwise To rotate 90 degrees counterclockwise, I will change the y coordinate to its opposite and switch the x and y.

3. Rotate R (2, -7), 90 degrees clockwise To rotate 90 degrees clockwise, I will change the x coordinate to its opposite and switch the x and y.

4. Reflect R (2, -7), across the origin To reflect point R, across the origin, I will change both coordinates to their opposites.

5. Reflect R (2, -7), across the x- axis To reflect point R, across the x-axis, I will change the y coordinate to its opposites.

6. Reflect R (2, -7), across the y- axis To reflect point R, across the y-axis, I will change the x coordinate to its opposites.

7. The exterior theorem states that the outside angle equals the sum of the opposite interior angles. So, to find angle 1, you will add 33 + 83.

8. The exterior theorem states that the outside angle equals the sum of the opposite interior angles. So, to find angle n, you will add 46 + 67.

9. To find the value of x. You have to first know the relationship between the angles. Since the angles are supplementary , they add up to equal 180 degrees. 5x+35+45 =180, then solve for x, by combining like terms and inverse operations.

10. (2.2 x 105) (6.4 x 106) = When multiplying in scientific notation, multiply your coefficients and add your exponents. 2.2 x 6.4 5+6

11. (2.2 x 105) ÷ (6.4 x 106) = When dividing in scientific notation, divide your coefficients and subtract your exponents. 2.2÷6.4 5-6

12. (2.2 x 105) + (6.4 x 106) = When adding in scientific notation, make sure your exponents are the same. If not, add 1 to your lowest exponent and move your decimal 1 place to the left in your coefficient. Then add your coefficients and keep your base and exponent the same.

13. (2.2 x 105) - (6.4 x 106) = When subtract in scientific notation, make sure your exponents are the same. If not, add 1 to your lowest exponent and move your decimal 1 place to the left in your coefficient. Then subtract your coefficients and keep your base and exponent the same. .22 -6.4 =

14. 14-6 ÷ 149 When dividing powers you keep your base and subtract your exponents -6 – 9 =

14. 14-6 x 149 When multiplying powers you keep your base and add your exponents -6 +9 =

16. (3d3ef2)4 When applying the power of powers rule, you raise everything to the 4th power. 3(1x4)d(3x4) e(1x4) f (2x4)

17. (4xy2z3)2 When applying the power of powers rule, you raise everything to the 2nd power. 4(1x2)x(1x2) y(2x2) z (3x2)

18. -6p + 4 = -2(3p - 2) First you will apply the distributive property. Then you will get all your variables to one side and all your constants on one side by performing inverse operations and combining like terms. Then you will solve for p. If you end up with a false statement, the answer is no solution. If you end up with a true statement, the answer is infinitely many solutions.

19. u – 4 = -7u + 5 First you will get all your variables to one side and all your constants on one side by performing inverse operations and combining like terms. Then you will solve for u. If you end up with a false statement, the answer is no solution. If you end up with a true statement, the answer is infinitely many solutions.

20. Which are dimension of a right triangle? A. 4 cm, 7cm, 10cm B. 6cm, 8cm, 10cm C. 8cm, 15cm, 40cm D. 9cm, 40cm, 41cm To prove that a triangle is a right triangle the sum of the legs’ area has to equal the area of the hypotenuse.

21. To find the hypotenuse you square the lengths, add them together, then take the square root.

22. To find the missing leg, you square the lengths, subtract them together, then take the square root.

23. First you make a right triangle, count the length of the legs 23. First you make a right triangle, count the length of the legs. Then, square the lengths, add them together, then take the square root.

24. First you make a right triangle, count the length of the legs 24. First you make a right triangle, count the length of the legs. Then, square the lengths, add them together, then take the square root.

25. To find the volume of the sphere, you use the formula, 4 x 3 25. To find the volume of the sphere, you use the formula, 4 x 3.14 x 11 x 11 x 11 then divide by 3.

26. To find the volume of the cone, you use the formula, 1 x 3 26. To find the volume of the cone, you use the formula, 1 x 3.14 x 3x 3 x 7 then divide by 3.

27. To find the volume of a cylinder, you use the formula, 3 27. To find the volume of a cylinder, you use the formula, 3.14 x 7 x 7 x 12.

Think-Pair-Share Four friends bought ice cream cones. Nee-Nee's cone had a radius of 2.5 inches, and a height of 3.5 inches. Lucy's(TT’s) cone had a radius of 2.5 inches, and a height of 4 inches. Tyrek's cone had a radius of 2.2 inches, and a height of 5 inches. Stephon's cone had a radius of 2.2 inches, and a height of 6 inches. Whose cone could hold the most ice cream? A. Nee-Nee B. Lucy(TT) C. Tyrek D. Stephon