Question

1. determine if the following dilations will result in an enlargement or a reduction.

a. (x,y)→(3x,3y)
b. (x,y)→(0.2x,0.2y)
c. (x,y)→(\frac{5}{2}x,\frac{5}{2}y)
d. (x,y)→(\frac{1}{3}x,\frac{1}{3}y)
friday
current grade in hac: ______ %

of zeroes this six - weeks: ______

my grade on unit 1 test: ______ %
i need to retest? yes/no
my goal for 1st six - weeks: ______ %
i am on track with meeting my goal? yes/no

Explanation:

Step1: Recall dilation rule

If the scale factor \(k> 1\), it's an enlargement. If \(0 < k<1\), it's a reduction.

Step2: Analyze part a

For \((x,y)\to(3x,3y)\), the scale factor \(k = 3\). Since \(3>1\), it's an enlargement.

Step3: Analyze part b

For \((x,y)\to(0.2x,0.2y)\), the scale factor \(k = 0.2\). Since \(0<0.2<1\), it's a reduction.

Step4: Analyze part c

For \((x,y)\to(\frac{5}{2}x,\frac{5}{2}y)\), the scale factor \(k=\frac{5}{2}=2.5\). Since \(2.5 > 1\), it's an enlargement.

Step5: Analyze part d

For \((x,y)\to(\frac{1}{3}x,\frac{1}{3}y)\), the scale factor \(k=\frac{1}{3}\). Since \(0<\frac{1}{3}<1\), it's a reduction.

Answer:

a. Enlargement
b. Reduction
c. Enlargement
d. Reduction