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HW#47H: DILATIONS
Honors Geometry
Due Date: Wednesday, Jan. 22nd, 2014
Name: _________________________________________ TP: _______
Failure to show all work and write in complete sentences will result in LaSalle!
1) Draw a dilation of the figure using the given
scale factor. k = ½
2) Draw the dilation of the polygon with the given
vertices using the given scale factor k.
A(3, 0), B(6, 3), C(3, 6), D(0, 3); k = 5/3
3) Determine whether the dilation from Figure A to 4) Determine whether the dilation from Figure A to
Figure B is a reduction or an enlargement. Then find Figure B is a reduction or an enlargement. Then find
its scale factor.
its scale factor.
5) The screen on your old television is 20 inches
wide and 15 inches high The screen on your new
widescreen television is 16 inches wide and 9
inches high. Is the screen on your new TV a dilation
of the screen on your old TV? If so, state the scale
factor. If not, explain why not.
6) The polygon shown is the image of a polygon
after a dilation using the scale factor k. Find the
coordinates A, B, and C of the vertices of the
original polygon.
K = 1/3
STAY READY.
7)
Step 1: Go to learnzillion.com
Step 2: In any search field, enter: LZ4022
Step 3: Enjoy the show  and answer the questions below:
1) What will you learn in this lesson?
2) Define dilation: ___________________________________________________________________________________________________
3) Define center of dilation: _______________________________________________________________________________________
4) Perform the “Core Lesson” on segment MN.
Show all work.
5) Perform the “Core Lesson” on segments JM and
JN. Show all work.
After dilating MN in the coordinate plane, what is
true about MN and M’N’?
What will be true if a segment going through the
origin is dilated?
STAY READY.
HW#48H: Similar Figures, yo!
Honors Geometry
Due Date: Thursday, Jan. 23rd, 2014
Name: _________________________________________ TP: _______
Failure to show all work and write in complete sentences will result in LaSalle!
1)
2) Write a similarity statement (List all pairs of
congruent angles & ratios of the corresponding
sides)
3) Write a similarity statement (List all pairs of
congruent angles & ratios of the corresponding
sides)
4) Determine if the polygons are similar. If they
are, write a similarity statement and find the scale
factor.
5) Determine if the polygons are similar. If they
are, write a similarity statement and find the scale
factor.
STAY READY.
6) Use the given information to find the indicated value.
7) Use the given information to find the indicated value.
8) Find all possible values of x in the similar
triangles.
FGH ~ JKL
9) Find all possible values of x in the similar
triangles.
PQR ~ STU
10) The community park has a rectangular swimming pool enclosed by a rectangular fence for
sunbathing. The shape of the pool is similar to the shape of the fence. The pool is 30 feet wide. The fence
is 50 feet wide and 100 feet long.
a. Draw a figure to the right
b. What is the scale factor of the pool to the fence?
c. What is the length of the pool?
d. Find the area reserved strictly for sunbathing.
STAY READY.
Name: _________________________________________ TP: _______
HW#49H: Prove Triangles Similar by AA
Honors Geometry
Due Date: Monday, Jan. 27th, 2014
Failure to show all work and write in complete sentences will result in LaSalle!
Determine whether the triangles are similar. If they are, write a similarity statement.
1) Is JLM ~ JKN?
2) Is SRP ~ QTP?
3) Is GKH ~ NKM?
Explanation:
Explanation:
Explanation:
4)
5) Use the diagram at the below to find the
coordinates of point Z so that RST ~ RXZ.
6) In order to estimate the height h of a flag pole, a 5
foot tall male student stands so that the tip of his
shadow coincides with the tip of the flag pole’s
shadow. This scenario results in two similar
triangles as shown in the diagram. What is the
height h (in feet) of the flag pole?
R(0, 0), S(0, 4), T(–8, 0), X(0, 2), Z(x, y)
STAY READY.
10.
Step 1: Go to learnzillion.com
Step 2: In any search field, enter: LZ3268
Step 2: In any search field, enter: LZ3237
Step 3: Enjoy the show  and answer the questions Step 3: Enjoy the show  and answer the questions
below:
below:
1) What will you learn in this lesson?
1) What will you learn in this lesson?
2) What is AA ~ Postulate?
2) Draw the figure below with the canyon and
solve. Show all work. How are the triangles similar?
How do you know?
3) When you get to step 5, copy the figure below.
Solve the problem.
STAY READY.