Problem Set 4
Math & Art
“Due” Tuesday 2/22/11
This problem set will not be collected, so that you can use it in your studying.
Nonetheless, you should have it completely done by Monday or at the latest,
by Tuesday.
1. Which are similar
(a) Which of the following pairs of figures are similar? If they are
similar, explain why.
B
B
i.
7.5
5
A
6
4
2
C
A
3
C
ii. (Notice that the pair below consists of the big triangle and
the smaller one inside it.)
A
E
2
B
6
D
C
(b) For the pair(s) above that you decided were similar, find the scale
factor of the sides.
Sklensky
Spring, 2011
Problem Set 4
Math & Art
“Due” Tuesday 2/22/11
2. Assume that the following pair of triangles are similar, and find the
unknown value x.
A
x
B
E
5
7
C
D
10
3. P and Q, shown below (but not to scale), are similar polygons. If the
perimeter of P is 10, what is the perimeter of Q?
5
2
Q
P
4. Find what the length of the shaded rectangle, c, needs to be so that it
is a gnomon to the white rectangle with sides 3 and 9.
c
9
3
Sklensky
Spring, 2011
Problem Set 4
Math & Art
“Due” Tuesday 2/22/11
5. Find the values of x and y so that the shaded figure below is a gnomon
to the white triangle.
5
3
4
4
y
6
x
6. Rectangle A is 10 by 20. Rectangle B is gnomon to rectangle A. What
are the dimensions of rectangle B?
7. Find the values of x and y so that the shaded triangle is a gnomon to
the white triangle ABC.
D
y
x
C
9
12
A
15
B
8. A rectangle has a 10 by 10 square gnomon. What are the dimensions
of the rectangle?
Sklensky
Spring, 2011