1 / 1 7 / 1 2W A R M - U P

WHAT IS THE “RIGHT-BRAINED/LEFT-

BRAINED” ARGUMENT?

1/17/12WARM-UP

• There is not really an argument, but both sides of the brain process different information. Sometimes people say your are “one-brained dominant” because you tend to emulate the abilities of what that side of the brain controls.

• For example, left-brained people are good at logic and calculation, while right-brained people are better at spatial understanding.

1/17/12WARM-UP

• What is the difference between the circumcenter and the incenter?

1/17/12WARM-UP

• What is the difference between the circumcenter and the incenter?

• The circumcenter is the point of concurrency of the perpendicular bisectors and is equidistant from the vertices

1/17/12WARM-UP

• What is the difference between the circumcenter and the incenter?

• The circumcenter is the point of concurrency of the perpendicular bisectors and is equidistant from the vertices

• The incenter is the point of concurrency of the angle bisectors and is equidistant from the sides

1/17/12WARM-UP

• You drove to your cousin’s house, which is 460 miles away. After two hours, you had gone 100 miles. After 8 hours, you reached your destination. Write an equation that gives the number of miles you had driven, y, in terms of the number of hours you had driven, x.

1/17/12WARM-UP

• You drove to your cousin’s house, which is 460 miles away. After two hours, you had gone 100 miles. After 8 hours, you reached your destination. Write an equation that gives the number of miles you had driven, y, in terms of the number of hours you had driven, x.

• What are the two points you have to work with? (time is on the x-axis)

1/17/12WARM-UP

• You drove to your cousin’s house, which is 460 miles away. After two hours, you had gone 100 miles. After 8 hours, you reached your destination. Write an equation that gives the number of miles you had driven, y, in terms of the number of hours you had driven, x.

• What are the two points you have to work with? (time is on the x-axis)

(2, 100) and (8, 460)

1/17/12WARM-UP

• You drove to your cousin’s house, which is 460 miles away. After two hours, you had gone 100 miles. After 8 hours, you reached your destination. Write an equation that gives the number of miles you had driven, y, in terms of the number of hours you had driven, x.

• What are the two points you have to work with? (time is on the x-axis)

(2, 100) and (8, 460)y = 60x – 20

1/17/12WARM-UP

• Complete the two-column proof JGiven: JL NL K M

L is the midpoint of KM LProve: JKL NMLStatements: Reasons: N1. JL NL 1.2. 2. Given3. 3. Vertical Angles Thrm4. KL ML 4. 5. JKL NML 5.

1/17/12WARM-UP

• Complete the two-column proof JGiven: JL NL K M

L is the midpoint of KM LProve: JKL NMLStatements: Reasons: N1. JL NL 1. Given2. 2. Given3. 3. Vertical Angles Thrm4. KL ML 4. 5. JKL NML 5.

1/17/12WARM-UP

• Complete the two-column proof JGiven: JL NL K M

L is the midpoint of KM LProve: JKL NMLStatements: Reasons: N1. JL NL 1. Given2. L is the midpoint 2. Given3. 3. Vertical Angles Thrm4. KL ML 4. 5. JKL NML 5.

1/17/12WARM-UP

• Complete the two-column proof JGiven: JL NL K M

L is the midpoint of KM LProve: JKL NMLStatements: Reasons: N1. JL NL 1. Given2. L is the midpoint 2. Given3. LJLK LJLN 3. Vertical Angles Thrm4. KL ML 4. 5. JKL NML 5.

1/17/12WARM-UP

• Complete the two-column proof JGiven: JL NL K M

L is the midpoint of KM LProve: JKL NMLStatements: Reasons: N1. JL NL 1. Given2. L is the midpoint 2. Given3. LJLK LJLN 3. Vertical Angles Thrm4. KL ML 4. Definition of midpoint5. JKL NML 5.

1/17/12WARM-UP

• Complete the two-column proof JGiven: JL NL K M

L is the midpoint of KM LProve: JKL NMLStatements: Reasons: N1. JL NL 1. Given2. L is the midpoint 2. Given3. LJLK LJLN 3. Vertical Angles Thrm4. KL ML 4. Definition of midpoint5. JKL NML 5. SAS