9. the figure at the right shows a parallelogram PQRS, three od whose vertices are P(0,0), Q(a,b), S(c,d) a. Find coordinates of R b. Use the boc technique to find a formula for the area of PQRS in simpified form.10. What would be the formula for the area of triangle PQS?11. How could you use the formulas you derived to ffind the area of triangles and parallelograms that did not have a vertex at the origin?12. Once you have figurered this out, use the formula to find the area of the parallelogram with vertices (2,5), (7,6), (10,10), and (5,9)/ 8. What if the figure in question was a parallelogram? Would the same technique work? Let's try it onthe parallelogram with vertices (0,0), (7,2), (8,5), and (1,3).9. The figure at right shows a parallelogram PQRS, three ofwhose vertices are P = (0,0), Q = (4,6), and S = (,4).a. Find the coordinates of R.b. Use the box technique to find a formula for the areaof PORS in simplified form.10. What would be the formula for the area of triangle PQS?11. How could you use the formulas you derived to find the areaof triangles and parallelograms that did not have a vertex atthe origin?12. Once you have figured this out, use the formula to find thearea of the parallelogram with vertices at (2,5), (7,6), (10,10),and (5,9).

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Answered: the figure at the right shows a…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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9. the figure at the right shows a parallelogram PQRS, three od whose vertices are P(0,0), Q(a,b), S(c,d)

a. Find coordinates of R

b. Use the boc technique to find a formula for the area of PQRS in simpified form.

10. What would be the formula for the area of triangle PQS?

11. How could you use the formulas you derived to ffind the area of triangles and parallelograms that did not have a vertex at the origin?

12. Once you have figurered this out, use the formula to find the area of the parallelogram with vertices (2,5), (7,6), (10,10), and (5,9)/

8. What if the figure in question was a parallelogram? Would the same technique work? Let's try it on
the parallelogram with vertices (0,0), (7,2), (8,5), and (1,3).
9. The figure at right shows a parallelogram PQRS, three of
whose vertices are P = (0,0), Q = (4,6), and S = (,4).
a. Find the coordinates of R.
b. Use the box technique to find a formula for the area
of PORS in simplified form.
10. What would be the formula for the area of triangle PQS?
11. How could you use the formulas you derived to find the area
of triangles and parallelograms that did not have a vertex at
the origin?
12. Once you have figured this out, use the formula to find the
area of the parallelogram with vertices at (2,5), (7,6), (10,10),
and (5,9).

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

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