QUESTION IMAGE
Question
lesson 5 practice problems 1 rectangles p, q, r, and s are scaled copies of one another. for each pair, decide if the scale factor from one to the other is greater than 1, equal to 1, or less than 1. a from p to q b from p to r c from q to s d from q to r e from s to p f from r to p g from p to s
To solve this, we analyze the size of each rectangle (P, Q, R, S) visually. A scale factor greater than 1 means the image is larger, equal to 1 means same size, and less than 1 means smaller.
Part (a): From P to Q
- Q is larger than P. So the scale factor (Q size / P size) > 1.
Part (b): From P to R
- R is larger than P. So the scale factor (R size / P size) > 1.
Part (c): From Q to S
- S is smaller than Q. So the scale factor (S size / Q size) < 1.
Part (d): From Q to R
- R is larger than Q. So the scale factor (R size / Q size) > 1.
Part (e): From S to P
- P is larger than S. So the scale factor (P size / S size) > 1.
Part (f): From R to P
- P is smaller than R. So the scale factor (P size / R size) < 1.
Part (g): From P to S
- S is smaller than P. So the scale factor (S size / P size) < 1.
Final Answers:
a. Greater than 1
b. Greater than 1
c. Less than 1
d. Greater than 1
e. Greater than 1
f. Less than 1
g. Less than 1
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To solve this, we analyze the size of each rectangle (P, Q, R, S) visually. A scale factor greater than 1 means the image is larger, equal to 1 means same size, and less than 1 means smaller.
Part (a): From P to Q
- Q is larger than P. So the scale factor (Q size / P size) > 1.
Part (b): From P to R
- R is larger than P. So the scale factor (R size / P size) > 1.
Part (c): From Q to S
- S is smaller than Q. So the scale factor (S size / Q size) < 1.
Part (d): From Q to R
- R is larger than Q. So the scale factor (R size / Q size) > 1.
Part (e): From S to P
- P is larger than S. So the scale factor (P size / S size) > 1.
Part (f): From R to P
- P is smaller than R. So the scale factor (P size / R size) < 1.
Part (g): From P to S
- S is smaller than P. So the scale factor (S size / P size) < 1.
Final Answers:
a. Greater than 1
b. Greater than 1
c. Less than 1
d. Greater than 1
e. Greater than 1
f. Less than 1
g. Less than 1