WorksheetsMedian and Midsegments on the Coordinate Plane
Total questions: 5
Worksheet time: 3mins
Name
Class
Date
1.
Consider the figure. Use a coordinate proof to prove that midsegment MN of triangle PQR is parallel to PR and half the length of PR. Which is the best first step?
a)
Place the triangle on a coordinate grid such that vertex P is at the origin, PR lies on the x-axis.
b)
Place the triangle on a coordinate grid such that vertex P is on y-axis and vertex R is on the x-axis.
c)
Place the triangle on a coordinate grid such that vertex Q is at the origin.
d)
Place the triangle on a coordinate grid such that QR lies on the x-axis and PQ lies on the y-axis.
2.
A radio tower casts a shadow of 8.2 ft. long and a 36-inch fourth-grader walking home casts a shadow of 1.5 inches. How tall is the radio tower?
a)
150 ft.
b)
186.4 ft.
c)
196.8 ft.
d)
200 ft.
3.
S and E are the midpoints of BA and AM, respectively. Use the properties of midsegments to find the perimeter of triangle BAM.
a)
32 inches
b)
36 inches
c)
43 inches
d)
50 inches
4.
Which of the following statements is correct?
a)
triangle XYZ ~ triangle WVZ by AA similiarty
b)
triangle XYZ ~ triangle WVZ by SAS similarity
c)
triangle XYZ ~ triangle WVZ by SSS similarity
d)
triangle XYZ and triangle WVZ are not similar
5.
In the figure, PQ is a midsegment of triangle GEO, TW is a midsegment of triangle PEQ, and QO is congruent to PG.
Which of the following are correct?
Which of the following are correct?
a)
TW = (1/4)GO
b)
ET is congruent to EQ
c)
PQ = 2(GO)
d)
WE = (1/3)GE
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