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The shapes drawn are similar. Figure 
A is the original drawing and figure 
B is the image.
Use the ruler to measure side lengths.
(a) Does the original 
(A) to the image 
(B) represent an enlargement, a reduction, or are 
A and 
B congruent?

A rarr B

A and 
B
Reduction Congruent
(b) Scale factor 
= 
◻
Answer to 2 d.p. where
necessary.

(Phi)/(( vec(nu)))
Scale Factor 
=(" Image Length ")/(" Original Length ")

The shapes drawn are similar. Figure A A is the original drawing and figure B B is the image.\newlineUse the ruler to measure side lengths.\newline(a) Does the original (A) (\mathrm{A}) to the image (B) (\mathrm{B}) represent an enlargement, a reduction, or are A \mathrm{A} and B \mathrm{B} congruent?\newlineAB A \rightarrow B \newlineA \mathrm{A} and B \mathrm{B} \newlineReduction Congruent\newline(b) Scale factor = = B B 00\newlineAnswer to 22 d.p. where\newlinenecessary.\newlineB B 11\newlineScale Factor B B 22

Full solution

Q. The shapes drawn are similar. Figure A A is the original drawing and figure B B is the image.\newlineUse the ruler to measure side lengths.\newline(a) Does the original (A) (\mathrm{A}) to the image (B) (\mathrm{B}) represent an enlargement, a reduction, or are A \mathrm{A} and B \mathrm{B} congruent?\newlineAB A \rightarrow B \newlineA \mathrm{A} and B \mathrm{B} \newlineReduction Congruent\newline(b) Scale factor = = B B 00\newlineAnswer to 22 d.p. where\newlinenecessary.\newlineB B 11\newlineScale Factor B B 22
  1. Measure sides lengths: Measure the side lengths of corresponding sides in figures AA and BB using a ruler.
  2. Compare lengths: Let's say the length of a side in figure A is 4cm4\,\text{cm} and the corresponding side in figure B is 6cm6\,\text{cm}.
  3. Determine enlargement: Compare the side lengths to determine if figure BB is an enlargement, a reduction, or congruent to figure AA.
  4. Calculate scale factor: Since the side length of figure BB is greater than the side length of figure AA, figure BB is an enlargement of figure AA.
  5. Substitute lengths: Calculate the scale factor using the formula Scale Factor=Image LengthOriginal Length\text{Scale Factor} = \frac{\text{Image Length}}{\text{Original Length}}.
  6. Perform division: Substitute the measured lengths into the formula: Scale Factor = 6cm4cm\frac{6\,\text{cm}}{4\,\text{cm}}.
  7. Perform division: Substitute the measured lengths into the formula: Scale Factor = 6cm4cm\frac{6\,\text{cm}}{4\,\text{cm}}.Perform the division to find the scale factor: Scale Factor = 1.51.5.

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