Download WS - Chapter 7 Review

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IIJifti~iffill- Review
Identify each statement as true (T) or false (F). For many of the problems, it would help (but not necessary) to
make a drawing or to do a counterexample.
1)
If the three sides of one triangle are proportional to the three sides of another
triangle, then the two triangles are similar.
2)
If two angles of one triangle are congruent to two angles of another triangle, then
the two triangles are similar.
3)
If two sides of one triangle are proportional to the sides of another triangle, then
the two triangles are similar.
4)
If the four angles of one quadrilateral are congruent to the four corresponding
angles of another quadrilateral, then the two quadrilaterals are similar.
5)
An angle bisector in a triangle divides the opposite side into two segments whose
lengths are in the same ratio as the corresponding adjacent sides.
6)
If two triangles are similar, then their corresponding altitudes, corresponding
medians, and corresponding angle bisectors are proportional to their
corresponding sides.
7)
If a line parallel to one side of a triangle passes through the other two sides, then it
divides them proportionally.
8)
If a line cuts two sides of a triangle proportionally, then it is parallel to the third
side.
9)
If two or more lines pass throug tw.Q. sides of a triangle parallel to the third side,
then they divide the two side equa ly.
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Solve. Show all work.
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Determine whether the polygons are similar.
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b) EH =
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Determine whether the triangles are similar. Ifthey are, write a similarity statement. Explain your reasoning.
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22) The Cardon cactus found in the Sonoran Desert
in Mexico is the tallest type of cactus in the
world. Marco stand 76 feet from the cactus so
that the tip of his shadow coincides with the tip
of the cactus' shadow. Marcus is 6 feet tall and
his shadow is 8 feet long. How tall is the
Cardon cactus?
Your geometry class goes outside to measure
the height of the school's flagpole. A student
who is 5 feet tall stands up straight and casts a
shadow that is 8 feet long. At the same time
the flagpole casts a shadow that is 24 feet
long. What is the height of the flagpole?
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Determine the length of the segment
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