Midpoint + Distance
Deductive Reasoning + Conditionals
Triangles + Angle Pairs
Parallel + Perpen. Lines
HAPPY NEW YEAR
100

This is the midpoint of the segment connecting the points (2,4) and (6,8).

What is (4,6)?

100

Can the law of syllogism be applied to the following? If yes, write a third conditional. If no, explain why not.

If I study, then I will pass the test. If I pass the test, then I will graduate.

What is yes, the law of syllogism can be applied -- If I study, then I will graduate. 

100

State whether the following angle pairs are supplementary or congruent.

  1. Alternate Exterior Angles

  2. Same-Side Interior Angles

  3. Alternate Interior Angles

  4. Corresponding Angles

What is: 

a. Congruent

b. Supplementary 

c. Congruent 

d. Congruent 

100

Given the line y=4x+2. What would the slope of the line parallel be?

What is 4?

100

In America, it’s said that eating this type of pasta on New Year’s Day can lead to a very 'long' and prosperous life.

What is spaghetti?

200

Find the distance between the points (1,2) and (4,6).

What is 5?

200

Can the law of syllogism be applied to the following? If yes, write a third conditional. If no, explain why not. 

If I play basketball, then I can run fast. If I run, then I can do track.


What is no, the law of syllogism cannot be applied because the conclusion of the first statement does not match the hypothesis of the second statement. 

200

In ΔABC, segment BE is bisecting ∠B. What is the relationship between m∠ABE and m∠EBC?  

What is m∠ABE = m∠EBC?  

200

Given the line y=4x+2 and the point (-4,2). What is the equation of the line perpendicular?

What is y=-1/4x+1?

200

In what country is it a tradition to wear red underwear on New Year’s Eve for good luck?

What is Italy?

300

The midpoint of a segment is (3,-2). One endpoint is (6,0). What is the other endpoint?

What is (0,-4)?

300

What is the inverse of the following statement.

If I go to Wingstop, then I will get wings and fries.

What is if I do not go to Wingstop, then I will not get wings and fries. 

300

In ΔRST, ∠R=90°, ∠S=(2x+1)°, and ∠T=(5x+5)°. Find x. 

What is x=12?

300

Given the line y=-2/5x+6 and the point (3,-4). What is the equation of the line perpendicular?

What is y=5/2x-23/2?

300

In Denmark, it’s good luck to throw these items at your friends’ or neighbors’ doors on New Year’s Eve.

What are plates?

400

Find the distance between the points (-3,5) and (4,-7).

What is the square root of 113?

400

Can the law of syllogism be applied to the following? If yes, write a third conditional. If no, explain why not. 

If a triangle is equilateral, then it is isosceles. If a triangle has two congruent sides, then it is isosceles. 

What is no, the law of syllogism cannot be applied because the second statement does not use the conclusion of the first statement ("isosceles") as its hypothesis, and it introduces a new condition about congruent sides.

400

In △ABC, an exterior angle at vertex C measures 120°. The two remote interior angles are ∠A=50° and ∠B=x°. Find x.

What is x=70°?

400

Given the line 2x+3y=12 and the point (4,−1), what is the equation of the line perpendicular? 

What is y=3/2x-7?

400

This animal-shaped bread is traditionally eaten in Ecuador on New Year’s to symbolize letting go of the past.

What is a guinea pig?

500

The midpoint of a segment is (7/2, -3). One endpoint is at (1,-5). What is the other endpoint?

What is (6,-1)?

500

Write the biconditional form of the following statement.

If a figure is a square, then it is a rectangle with four equal sides.

What is a figure is a square if and only if it is a rectangle with four equal sides.

500

In △XYZ, an exterior angle at Z measures (6x−15)°. The two remote interior angles are ∠X=(3x+5)° and ∠Y=(4x−10)°. Find x.

What is x=20.

500

Given the line 5x-2y=8 and the point (-6,3), what is the equation of the line perpendicular?

What is y=-2/5x+12/5?

500

This state is famous for dropping a giant, illuminated potato at midnight instead of a ball.

What is Idaho?

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