Question

1. (a) is the following sentence true? according to betweenness of points, if points a, b, and c are collinear and ab + bc, then c is between a and b. a. yes b. no c. maybe d. sometimes e. not applicable 2. (e) two rays joined together so that they have the same endpoint make a(n) __. a. angle b. square c. circle d. triangle e. none of the above 3. (12) the midpoint of a line segment is the point that divides the line segment into congruent line segments. a. five b. three c. four d. two e. not applicable 4. (11) a(n) angle is an angle with a measure of less than 90 degrees. a. right b. obtuse c. acute d. straight e. congruent 5. (10) if point s lies in the interior of ∠qpr, and m∠spr + m∠qps = __, then (overrightarrow{ps}) is between (overrightarrow{pq}) and (overrightarrow{pr}). a. m∠qsr b. m∠qpr c. m∠sqr d. m∠srp e. m∠srq

Explanation:

1. For collinear points, if \(AB + BC=AC\), B is between A and C, not C between A and B.
2. By definition, two rays with the same endpoint form an angle.
3. Mid - point divides a line segment into two congruent segments.
4. An angle less than 90 degrees is an acute angle.
5. If S is in the interior of \(\angle QPR\), then \(m\angle SPR + m\angle QPS=m\angle QPR\).

Answer:

1. B. No
2. A. angle
3. D. two
4. C. acute
5. B. \(m\angle QPR\)