warm up a right triangle has legs of 3cm and 4 cm, what is the length of the hypotenuse? x 2 + 3x...

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warm up • A right triangle has legs of 3cm and 4 cm, what is the length of the hypotenuse? •x 2 + 3x -10 = 0 •x 2 – x – 6 = 0

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Page 1: Warm up A right triangle has legs of 3cm and 4 cm, what is the length of the hypotenuse? x 2 + 3x -10 = 0 x 2 – x – 6 = 0

warm up

• A right triangle has legs of 3cm and 4 cm, what is the length of the hypotenuse?

• x2 + 3x -10 = 0

• x2 – x – 6 = 0

Page 2: Warm up A right triangle has legs of 3cm and 4 cm, what is the length of the hypotenuse? x 2 + 3x -10 = 0 x 2 – x – 6 = 0

Today’s agenda

• warm up

• grade homework

• review for test

*****Test is next time*****

Page 3: Warm up A right triangle has legs of 3cm and 4 cm, what is the length of the hypotenuse? x 2 + 3x -10 = 0 x 2 – x – 6 = 0

Chapter 2 Review

You need:

Paper

Pencil

Number your paper from 1:00 – 12:00

Make appointments

You have 5 minutes to complete this task.

GO!

Page 4: Warm up A right triangle has legs of 3cm and 4 cm, what is the length of the hypotenuse? x 2 + 3x -10 = 0 x 2 – x – 6 = 0

3:00

1. The length of a square is 5 cm. What is its width?

5 cm

2. What is the sum of the first 5 counting numbers?

15

3. Solve 2x + 1 = 5

X = 2

4. Solve x2 + 5x + 6 = 0

x = -3, x = -2

5. Solve 2x – 3 = 5x – 10

x = 7/3

Page 5: Warm up A right triangle has legs of 3cm and 4 cm, what is the length of the hypotenuse? x 2 + 3x -10 = 0 x 2 – x – 6 = 0

5:00All TV comedy programs are stupid.6. Write the conditional

If it is a TV comedy program, then it is stupid7. Write the converse

If it is stupid, then it is a TV comedy program8. Is the converse true or false?

false 9. Can you write a counterexample?

If it is stupid, then it could be a reality TV program.10. Write the inverse of the conditional

If it is not a TV comedy program, then it is not stupid11. Write the contrapositive

If it is not stupid, then it is not a TV comedy program12. Can you write a definition? Explain.

No. Because it’s not true both ways. The conditional is an opinion and the converse is false.

Page 6: Warm up A right triangle has legs of 3cm and 4 cm, what is the length of the hypotenuse? x 2 + 3x -10 = 0 x 2 – x – 6 = 0

11:00

A high school senior is in the twelfth grade.13. Write the conditional.

If you are a high school senior, then you are in the twelfth grade.

14. Write the converse.If you are in the twelfth grade, then you are a high school senior.

15. Is the converse true or false?True

16. Can you write a biconditional?Yes

17. Do it.You are a high school senior if and only if you are in the twelfth grade.

Page 7: Warm up A right triangle has legs of 3cm and 4 cm, what is the length of the hypotenuse? x 2 + 3x -10 = 0 x 2 – x – 6 = 0

2:00

• If you are a girl, then you are cute.

18.Make an Euler diagram. Cute Girl

19.Cindy is a girl.

Put Cindy in the diagram.Cute Girl

Cindy

Page 8: Warm up A right triangle has legs of 3cm and 4 cm, what is the length of the hypotenuse? x 2 + 3x -10 = 0 x 2 – x – 6 = 0

6:0020. Define adjacent angles

Angles that share a side and a vertex, but no interior points.21. How many endpoints does a line have?

none22. Solve x – 6 = 14

X = 2023. Does the notation AB refer to the segment itself or to its measure?

Its measure24. What is another way to write AB = 5 units?

True or False25. A conjecture is a statement that you think is true but may or may not be

true. TRUE

26. The sum of the measures of the angles that form a linear pair is 90°. FALSE

27. A reflection of a figure across a line changes the size of the figure but not its shape. FALSE

mAB = 5

Page 9: Warm up A right triangle has legs of 3cm and 4 cm, what is the length of the hypotenuse? x 2 + 3x -10 = 0 x 2 – x – 6 = 0

1:00

30. Which angles form an adjacent pair?

1 2 3 4

31. Tell me measures of all the angles:

100°

A B

C

32. What property justifies the following statement:

m<XYZ = m<ZYX

<1 & <2, <2 & <3, <3 & <4

A = 80°, B = 80°, C= 100°

Symmetric property

Page 10: Warm up A right triangle has legs of 3cm and 4 cm, what is the length of the hypotenuse? x 2 + 3x -10 = 0 x 2 – x – 6 = 0

7:00

Find the value of x, then find the measures of all the angles.

(12x)°

33. (2x – 16)°

(13x – 6)°

34.

(10x + 30)°

X = 14

168°

168°12°

12°

X = 12

150°

150°

30°30°

Page 11: Warm up A right triangle has legs of 3cm and 4 cm, what is the length of the hypotenuse? x 2 + 3x -10 = 0 x 2 – x – 6 = 0

10:00Go to the back of the room and get slip #1.Complete it

Substitution Property OR angle addition prop OR def of supp angles.

Substitution Property

True

True

True

False

False

Page 12: Warm up A right triangle has legs of 3cm and 4 cm, what is the length of the hypotenuse? x 2 + 3x -10 = 0 x 2 – x – 6 = 0

12:00• Go to the back of the room, get and

complete slip #2.

Def. of right angle OR def. of perpendicular rays

Given

Substitution

Def. of perpendicular rays

Page 13: Warm up A right triangle has legs of 3cm and 4 cm, what is the length of the hypotenuse? x 2 + 3x -10 = 0 x 2 – x – 6 = 0

9:00• Slip #3• Do it.

Angle Addition Postulate

Subtraction Property

Substitution Property

Page 14: Warm up A right triangle has legs of 3cm and 4 cm, what is the length of the hypotenuse? x 2 + 3x -10 = 0 x 2 – x – 6 = 0

If you have any questions:

• Ask a friend

• Come in for help

• Do some extra work (lots of great stuff in the back of the book)

• Rework some past assignments

MOST OF ALL – EVERYONE –

• Be prepared for the test NEXT TIME.