7. A family has five children, 2 girls and 3 boys. They put their names in a hat, and randomly draw a name to decide who will do the supper dishes. They do this three days in a row. If a name is chosen it is never put
back into a hat, so there is no risk of doing the dishing more than one time!
a. Constructing a tree diagram to calculate the following probabilities:
3 mar
b. all three chosen are boys.
1 I ma
c. at least two chosen are boys.
1 me
d. the second day a girl is chosen.
1 m

Given: △abc, ab=15, bd=9 ad ⊥ bc , m∠c=30°. find: the perimeter of the triangle.

Match the following terms with their definitions. 1. bisector of a segment ray ba and ray bc are opposite rays if a, b, and c are collinear and b (the endpoint of both rays) is between a and c. 2. opposite rays a ray, , is the set of points beginning at point a and going infinitely in the direction of point b. 3. collinear points a line or segment that intersects the segment at its midpoint. 4. betweenness of points a set of two or more points all on the same line. 5. ray the distance between the endpoints of a segment. 6. space point b is between a and c if a, b, and c are collinear and the equation ab + bc = ac is true, where ab, bc, and ac are the distances between points a and b, b and c, and a and c, respectively. 7. midpoint of a segment a set of two or more points all on the same plane. 8. coplanar points the point on a segment that divides the segment into two equal segments. 9. length of a segment the set of all possible points. 10. line segment the set of two different endpoints and all points between them.

1-for what value of x is line a parallel to line b 2-for what value of x is line a parallel to line b