Construct perpendicular line segments, and analyze coordinate pairs

Videos and solutions to help grade 5 students learn how to construct perpendicular line segments, and analyze relationships of the coordinate pairs.

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New York State Common Core Math Grade 5, Module 6, Lesson 16

Lesson 16 Homework

1. Use the coordinate plane below to complete the following tasks.
a. Draw PQ.
b. Plot point R(7, 7).
c. Draw PR.
d. Explain how you know PQR is a right angle without measuring it.
e. Compare the coordinates of points P and Q. What is the difference of the x-coordinates? The y-coordinates?
3. ST contains the following points. : S(2, 3) : T(9, 6)
a. Give the coordinates of a pair of points, U and V, such that ST ⊥ UV. Lesson 16 Homework

2. Use the coordinate plane below to complete the following tasks.
a. Draw CB.
b. Plot point D(1/2, 5 1/2)
c. Draw CD.
d. Explain how you know ∠DCB is a right angle without measuring it.
e. Compare the coordinates of points B and C. What is the difference of the x-coordinates? The y-coordinates?
f. Compare the coordinates of points C and D. What is the difference of the x-coordinates? The y-coordinates?
g. What is the relationship of the differences you found in (e) and (f) to the triangles of which these two segments are a part?

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