Question

geometry online (teaching textbooks) first quarter seton test 2 (test includes material up to lesson 13. take after lesson 13.) 1. (1) is the following sentence true? according to betweenness of points, if points a, b, and c are collinear and ab + bc = ac, then c is between a and b. a. yes b. no c. maybe d. sometimes e. not applicable 2. (1) 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. (1) 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. (1) 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. (1) 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:

Step1: Recall between - ness of points definition

By the definition of between - ness of points, if points $A$, $B$, and $C$ are collinear and $AB + BC=AC$, then $C$ is between $A$ and $B$. So the answer to question 1 is A.

Step2: Recall angle definition

Two rays with the same endpoint form an angle. So the answer to question 2 is A.

Step3: Recall mid - point definition

The mid - point of a line segment divides it into two congruent line segments. So the answer to question 3 is D.

Step4: Recall angle type definitions

An angle with a measure less than 90 degrees is an acute angle. So the answer to question 4 is C.

Step5: Recall angle - addition postulate

If point $S$ lies in the interior of $\angle QPR$, then $m\angle SPR + m\angle QPS=m\angle QPR$. So the answer to question 5 is B.

Answer:

1. A. Yes
2. A. angle
3. D. two
4. C. acute
5. B. $m\angle QPR$