WLC GEO JEOPARDY (Round 1)

SHAPES

100

What is the perimeter of a square that has an area of 25?

20

200

Name the three types of triangles

Equilateral, Isosceles, Scalene

300

What is the sum of the interior angles of a polygon with 6 sides?

720 deg.

400

A quadrilateral has interior angles 100, 76, 134, and X.

What is the value of X?

50 deg.

500

A right triangle has one leg with length 6 and a hypotenuse of 10. What is the length of the second leg? (Answer must be simplified)

8

ANGLES

100

When two lines cross, how many linear pairs are formed?

4 pairs

200

Angle A and B are vertical angles. If angle A = 2x + 10, and angle B = 44, what is the value of x?

x = 17

300

Angle A and angle B are a linear pair. If angle A = 15x - 5 and angle B = 20x + 45, what is the value of x?

x = 4

400

A quadrilateral ABCD is inscribed in a circle. Angle B of the quadrilateral is 108 deg. What is the value of angle D (the opposite angle from B)?

72 deg.

500

Angles A and B are same side interior angles. If angle A = 120, and angle B = 3x, what is the value of x?

x = 20

TRIANGLES

100

The sum of the angles of two triangles is...

360 deg.

200

A triangle has an external angle of 154 deg.   If one of the remote angles is 75 deg, then what is the value of the other remote angle?

79 deg.

300

The legs of a 45-45-90 triangle are 16. What is the length of the hypotenuse? (You can leave as a radical)

16sqrt(2)

or ...

22.63

400

An Isosceles triangle has base angles both equal to 3x+7 and a vertex angle of 118. What is the value of x?

x = 8

500

A triangle is inscribed inside of a circle (All three points of the triangle lie on the circle). What is the sum of the interior angles of the triangle?

180!!!

ALGEBRA

100

Simplify x(3+x)+2

3x + x² + 2

200

15x + 2(x - 2) = 115, when x = ?

x = 7

300

The long side of a rectangle is 3x, and the short side is 2x. If the perimeter is 150, what is x?

x = 15

400

A triangle has interior angles 5x, 2x, and 103. What is the value of x?

x = 11

500

Simplify:

2x² + 5y + 3x² - 2y + 13(x + 2)

5x² + 3y + 13x + 26

Coordinate Plane

100

What is the mathematical name for the point (0,0)

The Origin

200

What quadrant does the point (-5, 3) lie in?

Quadrant 2

300

What is the distance between points (4, 6) and (7,10)

5

400

What is the mid-point of a segment connecting points (5,6) and (9,14)?

Answer must be written as a coordinate pair.

(7,10)

500

Starting from point (-3, 5):

- move 8 in the positive x direction

- then move 4 in the negative y direction

At what point do you end up?

(5,1)