Name _____________________________________ Class _____________ Date ____________
Alternative Assessment
Chapter 5
Form C
Materials: ruler, compass
TASK 1
Harold wants to create a triangular garden plot. He wants to plant 6 ft of irises along one side, 13
ft of daffodils along the second side, and 6 ft of tulips along the third side. Write a convincing
argument using indirect reasoning to show that Harold’s garden plan is impossible.
TASK 2
A locus is the set of points that meet a stated condition. How does the locus of points in a plane
equidistant from a single point differ from the locus of points in a plane equidistant from the
endpoints of a segment? Use sketches to illustrate your answer.
Name _____________________________________ Class _____________ Date ____________
Alternative Assessment (continued)
Chapter 5
Form C
TASK 3
Points D, E, and F are the midpoints of the sides of
. If
is an equilateral triangle, what can you conclude about
? Write a conditional expressing your conclusion. Then write
a paragraph proof to support your conclusion.
TASK 4
Sketch an isosceles triangle. Demonstrate that its angle bisectors are concurrent. What can you
conclude about the triangle formed by the vertices of the base angles and the point of concurrency? Justify your answer.