10th grade geometry

Formulas

100

What is the pythagorean theorem?

a²+b²=c²

200

What is slope-intercept form?

y=mx+b

300

What is the trapezoid midsegment formula?

2(M)=B+B

400

What is the formula to partition 1 pair of points?

x=x₁+k(x₂-x₁)

500

What are the formulas to partition two pairs of points?

x=x₁+k(x₂-x₁)

y=y₁+k(y₂-y₁)

Definitions

100

P lies in the interior of RST. mRSP=40˚ and mTSP=10˚. mRST=

What is 50˚

200

P and Q are complementary. mP=3x+7 and mQ=x+3. x=_____

What is 20

300

P and Q are supplementary. mP=5x+3 and mQ=x+3. x=_____

What is 29

400

Ray QS bisects PQR. If mPQS=3x and mRQS=2x+6, then mPQR=____.

What is 36˚

500

If A and B are alternate interior angles, what is the value of x if angle A is 4x+50 and angle B is 5x+20

x=30

Conditional

100

Write the statement in IF-THEN form. The sum of two even numbers is even.

What is If two even numbers are summed then the answer will be even.

200

Write the inverse of the statement: If it rains today, then it is not sunny tomorrow.

What is If it does not rain today, then it is sunny tomorrow.

300

Write the converse of the statement: If today is Thursday, then tomorrow is Friday.

What is If tomorrow is Friday, then today is Thursday.

400

Write a converse statement given: If I do good in high school, then I can go to college

What is If I go to college, then I did good in high school.

500

Write the contrapositive of the statement: If I fail my test, then i did not study.

What is If I study then I pass my test.

Transformations

100

Given the coordinates A(0,3), B(5,-3) and C(-2,-2). State the new coordinates after translating them up 2 units and to the left 3 units

What is A(-3,5), B(2,-1), and C(-5,0)

200

Given the coordinates A(1,4), B(3,-3) and C(-4,-2). State the new coordinates after rotating 180˚

What is A(-1,-4), B(-3,3) and C(4,2)

300

Given the coordinates A(0,3), B(5,-3) and C(-2,-2). State the new coordinates after Reflecting over y-axis

What is A(0,3), B(-5,-3) and C(2,-2)

400

Given the statement If someone likes puppies, then they own a dog. The conclusion states

What is they own a dog

500

Given the coordinates A(1,3), B(5,-3) and C(-2,-2). State the new coordinates after Rotating 90˚clockwise

What is A(3,-1), B(-3,-5) and C(-2,2)

Angle Pairs

100

Draw vertical angles

See drawing

200

Draw corresponding angles

See drawing

300

Draw alternate exterior angles

see drawings

400

Draw Alternate Interior Angles

see drawings

500

Draw consecutive or same side interior angles. What is their sum?

See drawings. 180 degrees