Basics of Geometry
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High School Geometry
High School Geometry
Math

(pre-made sample)
 Name _____________________________ Date ___________________ (Key 1 - Answer ID # 0465111)
1.

Victoria slices a pumpkin pie into equal sectors through the center of the pie. There are 10 slices. If 6 of the slices are removed, what angle do the remaining slices make? If necessary, round your answer to the nearest hundredth of a degree.

2.

Use each of these terms in a sentence, but your sentence cannot be the definition of the term. Make a little sketch that illustrates the use of the term for each sentence: acute angle, obtuse angle, right angle, straight angle, reflex angle.

3.

Two angles are supplements. The larger angle is 10 more than three times the smaller. Find the measures of these two angles.

4.

Is it possible for two angles located on different parts of the surface of the earth to be complementary? Explain.

5.

Savannah said, "If you know one vertical angle, you know three other angles." What did she mean by this?

6.

How can you remember the difference between complements and supplements?

7.

Is it possible for two identical angles located at different places on the earth to be vertical angles? Explain.

8.

B is in the interior of ADC. If m ADC = (7x - 73) , m ADB = (3x - 13) , and m BDC = (2x - 18) , find the value of x.

9.

You are presented with a coordinate axis system (x- and y-axes with center at the origin). There are two points, one at (6, 1) and another at (-1, 8). There is a line passing through each point, and each line is perpendicular to the other. One of these lines is horizontal, and the other is vertical. What two possible points identify the vertex of a right angle made by the two lines?

10.

Given:
D is in the interior of ABE.
E is in the interior of DBF.
F is in the interior of EBC.
m ABC = 150 , m EBC = 94 ,
m ABD = m EBF, m FBC = 2m DBE
Which of the following is incorrect? m ABD = 18  m FBC = 76  m DBF = 56  m ABF = 94 Basics of Geometry
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High School Geometry
High School Geometry
Math