Exam 2: Line and Angle Relationships

An angle is the union of two rays that have a common endpoint.

For a construction problem, which instrument could you use?

Consider the definition: An isosceles triangle is a triangle that has two congruent sides. Which result must follow from the definition?

can also be called .

Points A, B, and C are said to be collinear if they lie on a line.

In this figure, and are complementary. Also, and are complementary. Regarding and , what conclusion may you draw?

and intersect at point E . If is a right angle, what relationship exists between and ?

A postulate is accepted without proof while a theorem is a statement that must be proved.

Consider a set of lines. Which is a property of the relation "is perpendicular to" for lines?

If M is the midpoint of , then it can be proved that:

Where x is the measure of an angle and 0° x 90°, the angle is an obtuse angle.

Consider the noncollinear points A, B, C, and D. By using two points at a time, find the total number of lines that they determine.

Points A , B , and C are collinear on horizontal line segment . Point D lies above . If m is 14 ° larger than m , find m .

Which property justifies this conclusion? If X is a point on and R - X - S , then .

Which is not a method of reasoning used in geometry?

Given that and are complementary, what conclusion may you draw?

If and are complementary, then each of these angles 1 and 2 is acute.

When using induction, one draws a conclusion based upon numerous examples or test results.

In geometry, what is a postulate?

If two rays are opposite rays, then their union is a straight line.