Math 353 Fall 2021 Quiz 3

Which geometry ignores any parallel postulate?

• Elliptical

• Euclidean

• Hyperbolic

• Neutral

What does this mean?  A*B*C

I. The three points are collinear.

II. AB + BC = AC

III. Point B is the midpoint of  $\overline{AC}$  .

• III only

• I and II only

• II and III only

• I, II and III

Which of the following is not a Pythagorean triple?

• $\sqrt{2},\ \sqrt{3},\sqrt{5}$

• 5, 12, 13

• 9, 12, 15

• 20, 21, 29

• All are Pythagorean triples.

In two-dimensional geometry, the set of all points is called

• a half-plane.

• a plane.

• space.

• the coordinate plane.

In the Elements, Euclid's logic

• is airtight with no gaps.

• is pretty good but he assumed some things just because it had to happen that way.

• confused most of the people who read it.

• was easily followed by all who read it.

If a line separates a plane into two half-planes,

• the segment joining two points on the same side of that line do not intersect that line.

• the segment joining two points on the same side of that line intersect that line.

For this course, what is the range of values of the measure of an angle?

• $0\le x<180$

• $0<x<180$

• $-\infty<x<\infty$

• $0<x$

If a ray is between two other rays, which of the following is true?

• The three rays share a common endpoint.

• The measure of the largest angle is equal to the sum of the two interior angles.

• Both of those statements are true.

• Neither of those statements are true.

If a statement is found to be true in Neutral geometry,

• it is only true in Neutral geometry.

• it is only true in Neutral and Euclidean geometries.

• it is true in all of the geometries that we will study the rest of the course.

The SAS Postulate holds

• in Neutral geometry and taxicab geometry.

• in Neutral and Euclidean geometry only.

• in all of the geometries that we will study during the rest of the course.

• in taxicab geometry.