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Part 1: Figure A is a dilated image of Figure B. Find the scale factor. #1 and 2​


NO LINKSPart 1 Figure A Is A Dilated Image Of Figure B Find The Scale Factor 1 And 2 class=

Sagot :

Take one side

  • B=3units
  • A=9units

Scale factor (A to B)

[tex]\\ \rm\rightarrowtail \dfrac{3}{9}=\dfrac{1}{3}[/tex]

  • Scale factor (B to A)=3

#2

  • B=6units
  • A=4units

Scale factor Bto A:-

  • 4/6=2/3

Scale factor (Ato B)=3/2

Answer:

The scale factor can either increase or decrease the size of an object. To find the scale factor of dilation:

[tex]\textsf{Scale factor} = \dfrac{\textsf{Dimension of the new shape}}{\textsf{Dimension of the original shape}}[/tex]

For these questions:

  • new shape = Figure A
  • original shape = Figure B

Question 1

  • Top edge of Figure A = 9 units
  • Top edge of Figure B = 3 units

[tex]\sf \implies scale \ factor=\dfrac{9}{3}=3[/tex]

Question 2

  • Width of Figure A = 4 units
  • Width of Figure B = 6 units

[tex]\sf \implies scale \ factor=\dfrac46=\dfrac23[/tex]