geometry HELPP

Question

for number 2 i dont understand part b and c. i DO understnad number 3. number one ehh need some ideas, and number 4 no clue. pls help! ty

1. Name some real-life situations where graphing could be useful.
Discuss your ideas and analyze the ideas written by your classmates.
Name some real-life situations where finding the coordinates of the
midpoint of a line segment could be useful.

2. Choose three non-collinear points on the coordinate plane (make
sure none of your points is the origin). On a sheet of paper, graph
the three points and draw line segments to connect the points and
make a triangle. Label the vertices of the triangle A, B,
and C, and state these vertices in your answer. Now describe
the new coordinates of points A, B, and C
after the following transformations:

a. Translation of point A to the origin.
b. 90° rotation around point B
c. Reflect the triangle across the x-axis.

Detail your work and tell what the coordinates of all of the relevant
points are.

3. Choose a pair of coordinate points. On a sheet of paper or in a
graphing utility, graph the segment that connects the two points.
Now choose a ratio. Divide the segment into two parts according to
your ratio. Detail your work and tell what the coordinates of all of the
relevant points are.

4. Choose a pair of coordinate points. On a sheet of paper or in a
graphing utility, graph the line that connects the two points. Write the
slope-intercept form of this line (A). Write the slope-intercept
form of the line (B) perpendicular to line A that passes
through the origin. Write the slope-intercept form of the line (C)
perpendicular to line A that passes through the y-intercept
of line A. Detail your work and tell what the coordinates of all
of the relevant points are.

 

Answer 1

The two points you chose are (x1,y1) and (x2,y2). The ratio you chose is a/b. Calculate the delta x (x2-x1) and delta y (y2-y1). multiply these by the ratio factor; (a/(a+b))*(x2-x1)) and (a/(a+b))*(y2-y1)) and then add them to the values of (x1,y1) to get the point in question.