investigation 2 practice quiz

Investigation 2: Practice Quiz
1. Ryan drew a pentagon. Ashley used
the rule (3x, 3y) to enlarge Ryan’s
drawing and drew the pentagon shown.
Ashley’s
2. Simon saw Ashley’s drawing and
doubled the lengths to create his own
pentagon. On the grid below, sketch
Ryan’s original drawing and Simon’s
drawing.
Ryan’s
Simon’s
3. Are Ryan and Simon’s pentagons
similar? Explain
4. Write a rule that would create
Simon’s pentagon from Ryan’s
pentagon.
5. Are the shapes of A and B similar? Explain why or why not. Include information about side
lengths, angle measurements, and scale factor.
6. Megan wants to make a new
character. Write a rule that would
transform Mug (x,y) into Slug, who is
wide but not very tall.
7. Megan wanted Slug to move up (but
not over) on the grid. What rule can do
this for her?
8. Is Slug similar to Mug? Why or why
not?
Extra Credit: Tell at least 3 things that you have learned during this unit.
Investigation 2: Practice Quiz
KEY
1. Ryan drew a pentagon. Ashley used
the rule (3x, 3y) to enlarge Ryan’s
drawing and drew the pentagon shown.
It is a good idea to write down the ordered
pairs for this figure to help with the
questions
2. Simon saw Ashley’s drawing and
doubled the lengths to create his own
pentagon. On the grid below, sketch
Ryan’s original drawing and Simon’s
drawing.
Remember that Ryans is smaller (it is
the original figure), divide and find the
new ordered pairs, then graph
Remember that Simon’s is larger,
multiply and find the new ordered
pairs, then graph
Ashley’s
Ryan’s
(x,y)
Simon’s
(6x, 6y)
Yes, the scale factor is 6. To get the new figure, you had to
3. Are Ryan and Simon’s pentagons
multiply by 6. Also, the number next to the x and y are the same.
similar? Explain
4. Write a rule that would create
Since you found in the above question the scale factor
Simon’s pentagon from Ryan’s
is 6 the new rule is (6x, 6y)
pentagon.
5. Are the shapes of A and B similar? Explain why or why not. Include information about side
lengths, angle measurements, and scale factor.
Yes, they are similar
 The side lengths are doubled or 2 times larger
 The angel measures are the same
 The scale factor is 2
6. Megan wants to make a new
character. Write a rule that would
transform Mug (x,y) into Slug, who is
wide but not very tall.
7. Megan wanted Slug to move up (but
not over) on the grid. What rule can do
this for her?
There can be many different answers for this, but for it to
NOT be similar, the x number and the y number must be
different. To be wide, the x number should be big
Answer: 7x, 2y or 19x, 1y
This answer goes with the question above; you should add to
your rule. To move up, you are adding to the y, do not
change the x
Answer: 7x, 2y + 5
or
19x, 1y + 8
8. Is Slug similar to Mug? Why or why No, in the above question, you are not multiplying by the
same number. Similar figures will have the same number.
not?
Extra Credit: Tell at least 3 things that you have learned during this unit. This will be the bonus
question, so think about things you have learned and be prepared to share WITH an example and clear
explanation.