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→BA and BReduction Congruent(b) Scale factor =B0Answer to 2 d.p. wherenecessary.B1Scale Factor B2
Q. 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→BA and BReduction Congruent(b) Scale factor =B0Answer to 2 d.p. wherenecessary.B1Scale Factor B2
Measure sides lengths: Measure the side lengths of corresponding sides in figures A and B using a ruler.
Compare lengths: Let's say the length of a side in figure A is 4cm and the corresponding side in figure B is 6cm.
Determine enlargement: Compare the side lengths to determine if figure B is an enlargement, a reduction, or congruent to figure A.
Calculate scale factor: Since the side length of figure B is greater than the side length of figure A, figure B is an enlargement of figure A.
Substitute lengths: Calculate the scale factor using the formula Scale Factor=Original LengthImage Length.
Perform division: Substitute the measured lengths into the formula: Scale Factor = 4cm6cm.
Perform division: Substitute the measured lengths into the formula: Scale Factor = 4cm6cm.Perform the division to find the scale factor: Scale Factor = 1.5.
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