Circles
Triangles
Quadrilaterals
Perimeter, area, volume
Miscelaneous
100

The degree measure of a circle

What is 360 degrees?

100

A =Half the product of the base and the height

What is the formula to find the area of a triangle when the base and the height are known

100

A four-sided two-dimensional figure with one pair of opposite sides that are parallel and congruent.

What is a parallelogram?

100

The formula to find the perimeter of a rectangle

What is P=2L+ 2W?

100

A parallelogram with congruent angles and congruent diagonals

What is a rectangle or a square?

200


____  .  _____    =    ____  .  _____

What is the formula to find the lengths of two crossing chords?

200

It is used to find the lengths of any of the sides of a right triangle without using the measure of any of its angles 

What is a2 + b= c2 ?

200

A two-dimensional figure in which only one pair of its opposite sides are parallel and the sum of its angles is 360o

What is a trapezoid?

200

The formula to find the amount of space inside a rectangular prism

What is V=lwh?

200

The number of cm in 30 in. 

 

What is 76.2?

300

Half of the measure of the arc the angle forms when it intersects the circle.

What is the measure of an inscribed angle?

300

The altitude of right triangle MNP when N is a right angle, altitude ND is drawn, MD=30, and PD is 15.

What is an altitude of 15 radical 2?

300

This is the length of the top of a trapezoid. The trapezoid is 87 m2, the base is 13 m long and the height is 4 m. 

What is 30.5?

300

Heron's formula

What is A = √(S(S-a)(S-b)(S-c)) ?

300

Add the big intercepted arc to the small intercepted arc, and divide the sum by two

What is the measure of an angle created by two crossing chords?

400

This is the area of sector AOC to the nearest tenth of a square inch. In circle O, the measure of arc AC is  ⅔ π radians and the length of segment OA is 6 inches.                




What is   ?

400

Centroid.(Only an answer justified with a proper construction with compass and straight edge will be accepted)

What is the  point where the three medians of a triangle meet?

400

The ratio of the area of the original square to the area of the transformed square when the original square‘s sides are tripled producing an area of 81 square feet. 

What is  1 : 9?

400

The distance formula used in the coordinate plane

What is

d2 = (x1-x2)2+(y1-y2)2 ?

400

Rounded to the nearest tenth of a cm, this is the height of an ice-cream cone that has a radius of 4.2 cm and a total volume of  50.5π cm3 


What is 8.6? 

500

He said that the radian measure of angles A and B in Circle 1 and Circle 2, respectively is not the same.

Circle 1 has radius 5, while Circle 2 has radius 6.25. Angle A in Circle 1 intercepts an arc of length 10/9 π,  and,  angle B in Circle 2 intercepts an arc of length 25/18 π.

Who is incorrect?  Both angles measure 2/9 π

500

As shown above, a canoe is approaching a lighthouse on the coastline of a lake.  The front of the canoe  is 2 feet above the water and an observer in the lighthouse is 120 feet above the water.

At 8:00, the observer in the lighthouse measured the angle of depression to the front of the canoe to be 10°.  Five minutes later, the observer measured and saw the angle of depression to the front of the canoe had increased to 40°.  What is the distance, rounded to the nearest tenth, that the canoe traveled toward the lighthouse, from 8:00 am to 8:05 am?.

1) 669.2 ft    2)140.6 ft    3)528.6 ft    4)119.8



What is 528.6 ft.?

500

The area of isosceles trapezoid ABCD. AB=CD=5. The top base = 8 and the bottom base = 14. What is the area of this trapezoid?

What is 44?

500

The surface area in terms of π  of a closed cylinder with a radius of 6.3 cm and a height of 23 cm.

What is 369.18 π ?

500

The area of isosceles trapezoid ABCD. AB=CD=5. The top base = 8 and the bottom base = 14. What is the area of this trapezoid?

What is 44?

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