Basics of Geometry
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High School Geometry
High School Geometry
Math

 Name _____________________________ Date ___________________ (Key 1 - Answer ID # 1070976)
1.

B is in the interior of ADC. If mADC = (8x - 97), mADB = (3x - 26), and mBDC = (2x - 5), find the value of x.

2.

Two angles are complements. 30 less than twice the larger angle equals twice the smaller angle. Find the measures of the two angles.

3.

What is the difference between a point and an endpoint?

4.

and are opposite rays if ______.

5.

Given:
D is in the interior of ABE.
E is in the interior of DBF.
F is in the interior of EBC.
mABC = 150, mEBC = 94,
mABD = mEBF, mFBC = 2mDBE
Which of the following is incorrect?
 mABD = 18 mABF = 94 mFBC = 76 mDBF = 56

6.

You are presented with a coordinate axis system (x- and y-axes with center at the origin). There are two points, one at (4, -2) and another at (0, 9). 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?

7.

Two angles are supplements. One is 66 degrees more than the other. Find the measures of the two angles.

8.

Two angles are supplements. The larger angle is 30 more than three times the smaller. Find the measures of these two angles.

9.

Suppose M is between L and N. LM = 4x + 9, MN = 2x + 1, LN = 10x - 2. Find the value of the variable and the lengths of , , and .

10.

Find a set of objects in the room such that each set contains something represented by one point, one line, and one plane. How many such sets are there?

11.

Does a vertically striped T-shirt have the same symmetry as a horizontally striped T-shirt? Explain.

12.

Do all books exhibit the same basic symmetry properties? Explain.

Basics of Geometry
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