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S & S

CMP2 Stretching and Shrinking: similar figures

QuestionAnswer
The number that you multiply the sides in a figure by to create a similar figure. Scale Factor
When two shapes have equal corresponding angles and the corresponding sides have been multiplied by the same number. similar figures
When two shapes are exactly the same. congruent
(3x, 4y) (6x, 6y) and (x+1, 3y-2) are all examples of what? algebraic rules
Will the rule (6x, 6y) make a similar figure? yes (the sides and perimeter will be six times larger, the angles stay the same, the area will be 36 times larger)
Will the rule (6x, 2y) make a similar figure? no (the height is 2 times larger but width is 6 times larger)
Compare angles, side lengths, perimeters and areas if a copy is made using a copier factor of 300%. Sides and perimeter are 3 times larger, angles are congruent, and the area would be 9 times larger.
In similar figures how do side lengths and perimeters compare? They multiply by the same factor.
If the scale factor from the original shape to a larger shape is 7 then how do the areas compare. The area of the original times 49 would equal the area of the enlargement. The area of the enlargement times 1/49 would equal the area of the original.
What rule would make a figure with side lengths one fifth the length of the original? (1/5x, 1/5y)
Compare angles, side lengths, perimeters and areas if a copy is made using a copier factor of 20%. Sides and perimeter are .20 times smaller, angles are congruent, and the area would be .04 times smaller.
The scale factor from figure A to figure B is k. What is the scale factor from figure B to figure A? 1/k
The scale factor from figure A to figure B is k. How does the area of figure A compare to the area of figure B? The area of figure A times k squared would give the area of figure B.
What happens to a figure if you add to the x-coordinate? It will move right.
What happens to a figure if you subtract from the x-coordinate? It will move left.
What happens to a figure if you add to the y-coordinate? It will move up.
What happens to a figure if you subtract from the y-coordinate? It will move down.
How do you make a reduction? You multiply by a number between 0 and 1.
What must you always do when comparing with scale factor? You must be specific about which direction you are working (is big to small k=1/3 or small to big k=3).
What 5 properties should you compare when shapes are similar? Side lengths, perimeter(s), angles, area(s), and position
How would an original shape compare to a new shape which was created using the rule (5x-1, 5y+3)? The side lengths of the new shape are 5 times longer than the original, the angles are congruent, the perimeter is also 5 times larger, the area would be 25 times larger, and the new shape would be moved to the left 1 and up 3.
If small to big k=10 then how do the area(s) compare? The big area(s) are 100 times larger.
If small to big k=10 then how do the perimeter(s) compare? The big P is 10 times larger than the small P.
Will the rule (6x+7, 2y+7) make a similar figure? No, x and y are multiplied by different numbers.
Will the rule (6x+7, 6y+89) make a similar figure? Yes, x and y are multiplied by the same number.
If a 3 in by 4 in picture is enlarged by a copier factor of 400% what would the new length be? 16 in
If a 3 in by 4 in picture is reduced by a copier factor of 25% what would the new length be? 1 in
What two things do you need to compare when looking for similar figures? corresponding sides and corresponding angles
If two figures have equivalent ratios of corresponding sides can you be certain that those figures are similar? No, they must also have congruent corresponding angles.
What must you do when asked to write a ratio? Tell which sides you are using (ie short to long vs long to short)
If two figures are similar what will be true about their ratios of corresponding sides? They will be equivalent ratios.
What are the three ways that you can write a ratio? With the word "to", with a :, and using the fraction bar.
What is a ratio? A ratio is a comparison of TWO numbers.
Created by: rratclif
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