Circles
Triangles
Quadrilaterals
Angles
Story Problems
100

What is the diameter of a circle?

The distance across the circle going through the center.

100
How many degrees are in a triangle?

180 

100

How many degrees are in a quadrilateral?

360

100

What are vertical angles?

Vertical angles are two angles on opposite sides of intersecting lines. They are always equal to each other.

100

A photograph of Earth is enlarged so that the diameter appears 5 times larger. How much larger does the circumference of Earth appear?

5 times larger 

200

Find the circumference of a circle with a diameter of 22 km.

about 138.16 km

200

Is it possible to construct a triangle with side lengths of 2 cm, 7 cm, and 9 cm?

No, 2 + 7 is not greater than 9.

200

What is the perimeter of a rectangle with sides lengths of 7 cm and 12 cm?

38 cm.

200

If (x + 8) and 42 are vertical angles in degrees, what is the value of x?

34 degrees

200

Determine whether it is possible to construct one, many, or no triangle(s) with one angle measure of 70 degrees and one side length of 8 inches.

Many, you have lots of options for your other two side lengths and two angle measures.

300

Find the area of a circle with a diameter of 6 m.

about 28.26 m^2

300

What is the area formula for a triangle?

(Base times Height) divided by 2.
300

What is the area of a quadrilateral with side lengths of 5.5 cm?

30.25 cm ^2

300

What are adjacent angles?

Adjacent angles are two angles that share a common side and have the same vertex. They are often complementary or supplementary.

300

You put a fence around a dog pen. The fence costs $1.50 per foot. How much did you spend?

Look on the board to see picture of dog pen.

$57

400
Find the area of a semicircle with a diameter of 11 yds.

about 47.49 yd^2

400

Find the area of a triangle with the base equal to 11.5 ft and the height equal to 16 ft.

92 ft ^2

400

Is it possible to construct a quadrilateral with these angle measures (in degrees): 90, 71, 56, and 143?

Yes, they all add up to be 360 degrees.

400
If angles 4x and (x + 10) are vertical to angle measure 125, what is the value of x?

23 degrees

400

You fill up the dog pen with gravel. One bag of gravel covers 4 square feet and costs $3.50. How much do you spend?

Look on board for diagram of dog pen.

$80.50

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