Lines and Segments
Angles
Triangles and Area
Miscellaneous Geometry
Fall Trivia
100

This is the distance between a segment's endpoints

What is the length of a segment?

100

If angle Q is an obtuse angle represented by 3x - 12, these are the restrictions on x.

What are 34 < x < 64?

100

A triangle with vertices at (1, 2), (5, 3), and (2, 7) is this type of triangle.

What is scalene?

100

This is the probability that a student who selects one problem at random from a list containing four Level 1, six Level 2, and three Level 3 problems will select a Level 2 problem.

What is 6/13?

100

This is the official bird of autumn, known for its iconic call and a major part of many Thanksgiving feasts.

What is the turkey?

200

This is a line that passes through the midpoint of a line segment at a 90-degree angle.

What is a perpendicular bisector?

200

If an angle is five times greater than its supplement, this is the measure of the supplement.

What is 30 degrees?

200

If the perimeter of triangle XYZ is 50, this is the value of x when XZ = 3x + 2, ZY = x + 4, and YX = 2x - 6.

What is x = 8?

200

A definition and picture for a "linear pair".

What is a pair of adjacent angles that form a straight line, and a drawing of two angles on a straight line?

200

The word "equinox" comes from Latin words meaning "equal" and "night." The autumnal equinox marks the beginning of fall in the Northern Hemisphere and usually occurs on this date.

What is September 22 or 23?

300

You cannot measure the length of this geometric figure because it extends infinitely in one direction.

What is a ray?

300

For a linear pair, if the measure of angle JKL = x - y and angle LKM = 3x + 10, this is the value of y in terms of x.

y = 4x - 170

300

A rectangle with a length of 25 and a width of 10 has its length decreased by 10% and its width increased by 20%. This is the percent change in the area and whether it was an increase or decrease.

What is a 8% increase?

300

This is the inverse of the conditional statement "If two angles are complementary, then the angles are vertical angles".

What is "If two angles are not complementary, then the angles are not vertical angles"?

300

This phenomenon, where leaves change color in the autumn, is caused by the trees' preparation for winter. The leaves stop producing this green pigment, revealing other colors like yellow, orange, and red.

What is chlorophyll?

400

If one endpoint of a line segment is (5, 10) and its midpoint is (2, 6), these are the coordinates of the other endpoint.

What are the coordinates (-1, 2)?

400

If MP bisects angle NMO and angle NMP = 4x - 5 and angle PMO = 2x + 11, this is the value of x.

What is x = 8?

400

This is the circumference and area of a circle with a diameter of 15.2, using 3.14 for pi and rounding to the nearest tenth.

What is a circumference of 47.7 and an area of 181.3?

400

This is the contrapositive of the conditional statement "If two angles are complementary, then the angles are vertical angles".

Then state if the statement is true or false

What is "If two angles are not vertical angles, then the angles are not complementary"?

False (as is the conditional)

400

This is the largest type of wild cat found in North America, often seen in its striking reddish-brown coat during the fall when it is more active and hunting for prey.

What is a cougar (or mountain lion)?

500

This is the correct value for k if AB is congruent to CD and A(-1, k), B(5, 5), C(-2 -3), and D(1, 1).

What is k = 8?

500

If angle CAR = 90 degrees and angle CAT = 41 degrees 17 minutes and 25 seconds, this is the measure of angle RAT in degrees, minutes, and seconds.

What is 48 degrees 42 minutes 35 seconds?

500

Solve for x, y, and z using the diagram below:

What is x = 4, y = 21, z = 71

500

If a#b = 3a - 2b, this is the result of (4#2)#5.

What is 6?

500

This constellation, known as the "Great Hunter," is a prominent feature in the night sky during the fall and winter months.

What is Orion?