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Complete the next two terms in the sequence:
1, -4, 16, -64, ____, ____
Unit 1, 2.1
Complete the next two terms in the sequence:
1, -4, 16, -64, 256, -1024 times by -4
Unit 1, 2.1
Complete the next two terms in the sequence:
4000, 1000, 250, ____, ____
Unit 1, 2.1
Complete the next two terms in the sequence:
4000, 1000, 250, 62.5, 15.625divide by 4
Unit 1, 2.1
Write a viable argument for the given conjectures?
If a geometric figure has six sides,
then it is a hexagon.
If a geometric figure is a hexagon,
then the sum of its angles is 720°.
Unit 1, 3.1
Write a viable argument for the given conjectures?
If a geometric figure has six sides, then it is a hexagon.
If a geometric figure is a hexagon, then the sum of its angles is 720°.
Given figure A has six sides, then the sum of its angles is 720°.
Unit 1, 3.1
What is a counterexample to the statement?
If a geometric figure has three sides,
then it is a right triangle.
Unit 1, 3.2
What is a counterexample to the statement?
If a geometric figure has three sides, then it is a right triangle.
It could be an equiangular, acute or obtuse triangle.All three sided figures are triangles but do not have
to be right triangles.Counterexample: an example or case that
proves the conditional false.
Unit 1, 3.2
For the conditional statement,
write the hypothesis.
If it is nice outside,
then I will go to the game,
Unit 1, 3.2
For the conditional statement, write the hypothesis.
If it is nice outside, then I will go to the game,
It is nice outside
Hypothesis: clause after the ifMake sure you do not write the if!
Unit 1, 3.2
For the conditional statement,
write the conclusion.
If it is nice outside,
then I will go to the game,
Unit 1, 3.2
For the conditional statement, write the conclusion.
If it is nice outside, then I will go to the game,
I will go to the game
Conclusion: clause after the thenMake sure you do not write the then!
Unit 1, 3.2
What are the three undefined terms of Geometry?
Unit 1, 3.1
What are the three undefined terms of Geometry?
Point, Line, and Plane
Unit 1, 3.1
Write a two-column proof
If 2(x - 4)= -11 – x, then x = -1
Unit 1, 3.1
Write a two-column proof
If 2(x - 4)= -11 – x, then x = -1
Unit 1, 3.1
Statements Reasons
1. 2(x - 4)= -11 – x 1. Given
2. 2x – 8 = -11 - x 2. Distributive Property
3. 3x – 8 = -11 3. Addition Property of =
4. 3x = -3 4. Addition Property of =
5. x = -1 5. Division Prop of =
If a shape is a square, then it has four right angles.
Write the CONVERSE?
Unit 1, 3.3
If a shape is a square, then it has four right angles.
Write the CONVERSE?
If a shape has four right angles, then it is a square.
If you live in Illinois, then you live in the U.S.
Write the INVERSE?
Unit 1, 3.3
If you live in Illinois, then you live in the U.S.
Write the INVERSE?
If you do not live in Illinois, then you do not live in the U.S.
Unit 1, 3.3
If two angles have the sum of 90°, then they are complementary.
Write the CONTRAPOSITIVE?
Unit 1, 3.3
If two angles have the sum of 90°, then they are complementary.
Write the CONTRAPOSITIVE?
If two angles are not complementary, then they do not have a sum of 90°.
Unit 1, 3.3
If an angle is acute, then it is less than 90°.
Write the - CONVERSE
- INVERSE- CONTRAPOSITIVE
Unit 1, 3.3
Converse: If an angle is less than 90°, then it is acute.
Inverse: If an angle is not acute, then it is not less than 90°.
Contrapositive: If an angle is not less than 90°, then it is not acute.
Unit 1, 3.3
Write the definition of a straight angle as a
biconditional.
Unit 1, 3.3
Write the definition of a straight angle as a
biconditional.
A angle is straight if and only if it measures 180°.
Unit 1, 3.3
Name three collinear points
A
E
D
CB
Unit 1, 3.1
Name three collinear points
A
E
D
CB
Unit 1, 3.1
D, E, B or A, E, C