Basic Geometry

Practice Questions

Basic Geometry › Basic Geometry

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Circle_graph_area3

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In the figure above, is a square and is three times the length of . What is the area of ?

3

Find the perimeter of a square inscribed in a circle that has a diameter of .

4

A right isosceles triangle has leg lengths of $\frac{1}{8}$ . What is the length of the hypotenuse?

5

If the diameter of the circle below is , what is the area of the shaded region?

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$\bigtriangleup ABC \sim \bigtriangleup DEF$ ; $\angle F$ is a right angle; $\overline{AB}=20$ ; $\overline{AC}=10$ ; $\overline{DE}=30$

Find $\overline{EF}$ .

7

Find the perimeter.

8

The height of a right triangle is 7 and the base is 12. What is the perimeter? Round to the nearest hundreth.

9

In order to get to work, Jeff leaves home and drives 4 miles due north, then 3 miles due east, followed by 6 miles due north and, finally, 7 miles due east. What is the straight line distance from Jeff’s work to his home?

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In order to get to work, Jeff leaves home and drives 4 miles due north, then 3 miles due east, followed by 6 miles due north and, finally, 7 miles due east. What is the straight line distance from Jeff’s work to his home?

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