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8.4 Worksheet

Last updated over 3 years ago
70 questions
In this homework assignment, you will determine what kind of quadrilateral PQRS is. First, graph the quadrilateral, then find the slopes of all the sides, then find the distances of all the sides. With that information, decide the correct type of quadrilateral.
Quadrilateral #1: P(-1, 3), Q(4, 2), R(1, -1), S(-4, 0)
1

Graph quadrilateral PQRS.

1

What is the slope of SP? Make sure to simplify.

1

What is the slope of PQ? Make sure to simplify.

1

What is the slope of SR? Make sure to simplify.

1

What is the slope of RQ? Make sure to simplify.

1

What is the length of SP? Leave your answer is radical form.

1

What is the length of PQ? Leave your answer is radical form.

1

What is the length of SR? Leave your answer is radical form.

1

What is the length of RQ? Leave your answer is radical form.

1

What kind of quadrilateral is PQRS?

Quadrilateral #2: P(-3, 5), Q(-7, 6), R(-9, -2), S(-5, -3)
1

Graph quadrilateral PQRS.

1

What is the slope of RQ? Make sure to simplify.

1

What is the slope of QP? Make sure to simplify.

1

What is the slope of RS? Make sure to simplify.

1

What is the slope of SP? Make sure to simplify.

1

What is the length of RQ? Leave your answer in radical form.

1

What is the length of QP? Leave your answer in radical form.

1

What is the length of RS? Leave your answer in radical form.

1

What is the length of SP? Leave your answer in radical form.

1

What kind of quadrilateral is PQRS?

Quadrilateral #3: P(-2, 9), Q(-2, -1), R(-5, 5), S(-5, 7)
1

Graph quadrilateral PQRS.

1

What is the slope of SP? Make sure to simplify.

1

What is the slope of PQ? Make sure to simplify.

1

What is the slope of SR? Make sure to simplify.

1

What is the slope of RQ? Make sure to simplify.

1

What is the length of SP? Leave your answer in radical form.

1

What is the length of PQ? Leave your answer in radical form.

1

What is the length of SR? Leave your answer in radical form.

1

What is the length of RQ? Leave your answer in radical form.

1

What kind of quadrilateral is PQRS?

Quadrilateral #4: P(1, 5), Q(8, 6), R(15, 5), S(8, 4)
1

Graph quadrilateral PQRS.

1

What is the slope of PQ? Make sure to simplify.

1

What is the slope of QR? Make sure to simplify.

1

What is the slope of PS? Make sure to simplify.

1

What is the slope of SR? Make sure to simplify.

1

What is the length of PQ? Leave your answer in radical form.

1

What is the length of QR? Leave your answer in radical form.

1

What is the length of PS? Leave your answer in radical form.

1

What is the length of SR? Leave your answer in radical form.

1

What kind of quadrilateral is PQRS?

Quadrilateral #5: P(1, 2), Q(4, 1), R(3, -2), S(0, -1)
1

Graph quadrilateral PQRS.

1

What is the slope of SP? Make sure to simplify.

1

What is the slope of PQ? Make sure to simplify.

1

What is the slope of SR? Make sure to simplify.

1

What is the slope of RQ? Make sure to simplify.

1

What is the length of SP? Leave your answer in radical form.

1

What is the length of PQ? Leave your answer in radical form.

1

What is the length of SR? Leave your answer in radical form.

1

What is the length of RQ? Leave your answer in radical form.

1

What kind of quadrilateral is PQRS?

Quadrilateral #6: P(6, 8), Q(9, 12), R(12, 8),S(9, 6)
1

Graph quadrilateral PQRS.

1

What is the slope of PQ? Make sure to simplify.

1

What is the slope of QR? Make sure to simplify.

1

What is the slope of PS? Make sure to simplify.

1

What is the slope of SR? Make sure to simplify.

1

What is the length of PQ? Leave your answer in radical form.

1

What is the length of QR? Leave your answer in radical form.

1

What is the length of PS? Leave your answer in radical form.

1

What is the length of SR? Leave your answer in radical form.

1

What kind of quadrilateral is PQRS?

Quadrilateral #7: P(-2, 10), Q(1, 13), R(5, 13), S(-2, 6)
1

Graph quadrilateral PQRS.

1

What is the slope of PQ? Make sure to simplify.

1

What is the slope of QR? Make sure to simplify.

1

What is the slope of PS? Make sure to simplify.

1

What is the slope of SR? Make sure to simplify.

1

What is the length of PQ? Leave your answer in radical form.

1

What is the length of QR? Leave your answer in radical form.

1

What is the length of PS? Leave your answer in radical form.

1

What is the length of SR? Leave your answer in radical form.

1

What kind of quadrilateral is PQRS?