Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

thursday 1. determine if the following dilations will result in an enla…

Question

thursday

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

a. (x,y)→(3x,3y)
b. (x,y)→(.2x,.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: ______ %
my grade on unit 1 test: ______ %
my goal for 1st six - weeks: ______ %

of zeroes this six - weeks: ______

i need to retest? yes/no
i am on track with meeting my go

Explanation:

Step1: Recall dilation rule

If scale - factor $k>1$, it's an enlargement; if $0 < k<1$, it's a reduction.

Step2: Analyze a

For $(x,y)\to(3x,3y)$, $k = 3>1$, so it's an enlargement.

Step3: Analyze b

For $(x,y)\to(0.2x,0.2y)$, $k = 0.2<1$, so it's a reduction.

Step4: Analyze c

For $(x,y)\to(\frac{5}{2}x,\frac{5}{2}y)$, $k=\frac{5}{2}>1$, so it's an enlargement.

Step5: Analyze d

For $(x,y)\to(\frac{1}{3}x,\frac{1}{3}y)$, $k=\frac{1}{3}<1$, so it's a reduction.

Answer:

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