Geometry
Similar Polygons HW (6.3)
1.
2.
Name _____________________
Date: __________ Period: __________
List all pairs of congruent angles for the figures. Then write the ratios of the corresponding sides in a
statement of proportionality.
ABC
DFE
Multiple Choice. Triangles ABC and DEF are similar. Which statement is not correct?
A.
AB
DE
BC
EF
B.
CA
FD
AB
DE
C.
B
E
D.
A
F
Determine whether the polygons are similar. If they are, write a similarity statement and find the scale factor.
3.
4.
In the diagram, WXYZ MNOP.
5. Find the scale factor of WXYZ to MNOP.
6. Find the values of x, y, and z.
7. Find the perimeter of WXYZ.
8. Find the perimeter of MNOP.
9. Find the ratio of the perimeter of WXYZ to the perimeter of MNOP.
10.
The two triangles (below) are similar. Find the values of the variables.
In the diagram, ∆XYZ ∆MNP.
11. Find the scale factor of XYZ to MNP.
12. Find the unknown side lengths of both triangles.
PN =
XY =
13. Find the length of the altitude shown in XYZ.
14.
15.
Corresponding lengths in similar figures are given. Find the ratios (shaded to unshaded) of the
perimeters and areas. Find the unknown area.
The ratio of the areas of two similar figures is 16:81. Write the ratio of the lengths of corresponding
sides.
Homework Solutions (in a semi-random order)
40
2:5
11: 9; 121:81; 242 cm2
m 11, n 4
50
D.
Yes,
18 2.32
WXYZ DABC PN 15, XY 5
4 :1
No
4:5
4:9
A
AB
DF
4:5
x 15, y 8, z 135
D,
BC
FE
B
AC
DE
F,
C
E