Steve Herr is an architect in Minneapolis, Minnesota. His latest project is designing a park. On the blueprint, the park is
determined by a plane which contains the points at (1,0,3), (2,5,0). and (3,1,4). One of the features of the park is a monument that
must be perpendicular to the ground,
Find a nonzero vector, representing the monument, perpendicular to the plane defined by the given points.
a. (8-7,-9)
C.
8.
,
b.
6,- 5.-9)
d.
6.-7.-11)

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. are the triangles similar and if so why? what is the value of x? show your work.

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