iCoachMath.com: Examples on Similarity Transformations - Exploring Geometry - (MI)
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Solved Examples

Curriculum: Michigan Grade Level Mathematics Expectations   Click to change Curriculum

Topic: Exploring Geometry  Click to change Topic

Lesson: G.TR.08.09: Similarity Transformations  Click to change Lesson

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BBB The height of the Grad school logo is 6 in. The administration of the school is planning to enlarge the logo so that the height of the logo should be 9 in. Find the scale factor. BBB View Solution
BBB An automobile has drawn the design model of a car on paper using a scale of 1:9. The length of the car on the paper was 14 in. What is the actual length of the car?
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BBB The perimeter of hexagon ABCDEF is 44 inches. Hexagon A'B'C'D'E'F' is the image dilated with respect to point A using a scale of 14. What is the perimeter of A'B'C'D'E'F'? BBB View Solution
BBB The shaded region is the image of rhombus ABCD after dilation with respect to point A and scale factor 12. If AB = 12 inches, then find the length of A'B'. BBB View Solution
BBB The shaded parallelogram A'B'C'D' is a dilation of parallelogram ABCD with respect to C and the scale used in obtaining the dilated figure A'B'C'D' is 15. The area of the parallelogram ABCD is 125 in.2 What is the area of the shaded parallelogram A'B'C'D'?
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BBB The square A'B'C'D' is a dilation of square ABCD with respect to point C and scale involved in obtaining the dilated figure is 25. If the area of the square ABCD is 100 units2, then find the side of the square A'B'C'D'.
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BBB A cardboard model of a Honda bike is part of an outdoor display. Its height is 8 ft. The actual Honda bike is 5 ft long and 2 ft high. Find the length of the model, if its dimensions are proportionate to the real bike.
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BBB A square of side 3 cm is enlarged to have a side of 12 cm. Find the scale factor.
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BBB A child saw a tall building of height 3000 ft with binoculars and was surprised to see it as 30 in. in his binoculars. What scale in the binoculars could give such projection?
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BBB The actual length of a film is 1.2 inches and the length, after projecting it on to the screen, is 4 inches. Find the scale factor of the projector.
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BBB A company wants to prepare a die casting model of a car. The actual length of the car is 4.5 m and the length of the model is 250 cm. Find the scale the company uses.
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BBB William is examining a cell of size 0.04 in. through a microscope. The size of the cell when examined through the microscope is 1.2 in. Find the scale factor. BBB View Solution
BBB A photographer reduced the length of a photograph from 2.5 ft to 0.5 ft. Find the scale factor he used.
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BBB A graphic designer designed a logo according to a company's specifications. The length of the logo was 20 inches. When the company wanted him to reduce the size of the logo, he used a scale factor of 14 to reduce the size. Find the new length of the logo.
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BBB A logo for a company uniform was designed on a paper and it measured 10 inches in length. The designer was asked to decrease the size of the logo so that the logo on the uniform would measure 2.5 inches. Find the scale factor.
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BBB A circle of diameter 3 in. is dilated using a scale factor 3. What is the diameter of the enlarged circle?
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BBB An automobile has drawn the design model of a car on paper using a scale of 1:7. The length of the car on the paper was 12 in. What is the actual length of the car?
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BBB A circle of diameter 5 in. is dilated using a scale factor 4. What is the diameter of the enlarged circle?
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BBB A child saw a tall building of height 5000 ft with binoculars and was surprised to see it as 50 in. in his binoculars. What scale in the binoculars could give such projection?
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BBB The image of triangle ABC after dilation with respect to point A is A'B'C'. If AB = 12 in. and A'B' = 8 in., then find the scale factor.
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BBB A cardboard model of a Honda bike is part of an outdoor display. Its height is 4 ft. The actual Honda bike is 5 ft long and 2 ft high. Find the length of the model, if its dimensions are proportionate to the real bike.
 BBB
View Solution
BBB An automobile has drawn the design model of a car on paper using a scale of 1:8. The length of the car on the paper was 15 in. What is the actual length of the car?
 BBB
View Solution
BBB The perimeter of hexagon ABCDEF is 40 inches. Hexagon A'B'C'D'E'F' is the image dilated with respect to point A using a scale of 14. What is the perimeter of A'B'C'D'E'F'? BBB View Solution
BBB The shaded region is the image of rhombus ABCD after dilation with respect to point A and scale factor 14. If AB = 20 inches, then find the length of A'B'. BBB View Solution
BBB The figure AEFG is a dilation of the figure ABCD with respect to point A. If AG = 2 inches and GD = 4 inches, then find the scale factor. BBB View Solution
BBB A square of side 3 cm is enlarged to have a side of 6 cm. Find the scale factor.
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BBB The shaded parallelogram A'B'C'D' is a dilation of parallelogram ABCD with respect to C and the scale used in obtaining the dilated figure A'B'C'D' is 13. The area of the parallelogram ABCD is 36 in.2 What is the area of the shaded parallelogram A'B'C'D'?
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BBB The square A'B'C'D' is a dilation of square ABCD with respect to point C and scale involved in obtaining the dilated figure is 511. If the area of the square ABCD is 3025 units2, then find the side of the square A'B'C'D'.
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BBB A'B'C'D' is a dilation of ABCD. Find the scale factor. BBB View Solution
BBB Harry potter is 4 feet 4 inches tall in the cinema and a toy of Harry Potter measures 1 foot 1 inch. Find the scale factor the toy company uses.
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BBB The actual length of a film is 1.6 inches and the length, after projecting it on to the screen, is 4 inches. Find the scale factor of the projector.
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BBB A company wants to prepare a die casting model of a car. The actual length of the car is 4.5 m and the length of the model is 150 cm. Find the scale the company uses.
 BBB
View Solution
BBB Josh is examining a cell of size 0.02 in. through a microscope. The size of the cell when examined through the microscope is 0.6 in. Find the scale factor. BBB View Solution
BBB A photographer reduced the length of a photograph from 4.9 ft to 0.7 ft. Find the scale factor he used.
 BBB
View Solution
BBB The height of the Grad school logo is 8 in. The administration of the school is planning to enlarge the logo so that the height of the logo should be 10 in. Find the scale factor. BBB View Solution
BBB A graphic designer designed a logo according to a company's specifications. The length of the logo was 15 inches. When the company wanted him to reduce the size of the logo, he used a scale factor of 15 to reduce the size. Find the new length of the logo.
 BBB
View Solution
BBB A logo for a company uniform was designed on a paper and it measured 14 inches in length. The designer was asked to decrease the size of the logo so that the logo on the uniform would measure 3.5 inches. Find the scale factor.
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BBB A toy company wants to make a doll of Lady Diana, who was about 6 ft tall. The height of the doll is 1.2 feet. Find the scale factor.
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BBB The height of a statue in a model was 6 inches. What is the original height of the statue, if the scale of the model was 1 inch : 75 meters? BBB View Solution
BBB Which property does not remain same after dilation?
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BBB What is the base and height of the resulting rectangle, if the rectangle is dilated by a scale factor of 34 ?
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BBB Find the new coordinates of the image of the pentagon PQRST after dilation with center at origin and a scale factor of 12.
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BBB A toy company wants to make a doll of Lady Diana, who was about 6 ft tall. The height of the doll is 1.8 feet. Find the scale factor.
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BBB Find the scale factor for the dilation. BBB View Solution
BBB Find the scale factor for the dilation. BBB View Solution
BBB Find the length of the base of the new triangle after reduction by a scale factor of 14. BBB View Solution
BBB A′B′C′D′ is a dilation of ABCD. Find the scale factor. BBB View Solution
BBB A parking lot is in the shape of a square measuring 19 ft by 12 ft. If you extend it by a scale factor of 3.5, find the new area of the parking lot. BBB View Solution
BBB Square ABCD is dilated by a scale factor of 2 with the center of dilation at (0, 0). What will be the area of the new square? BBB View Solution
BBB A triangle of base 5 cm is enlarged to have a base of 8 cm. Find the scale factor. BBB View Solution
BBB Is ΔABC similar to ΔDEF?
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BBB Find the scale factor of dilation of the triangle ABC to the triangle AED.
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BBB The height of a statue in a model was 4 inches. What is the original height of the statue, if the scale of the model was 1 inch : 65 meters? BBB View Solution
BBB Find the scale factor of dilation of the rectangle ABCD to the rectangle AEFG.
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BBB Length of a segment PQ is 36 m. Find the measure of the dilation image for a scale factor of 23.
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BBB A lawn is in the shape of a rectangle measuring 10 ft by 8 ft. If you extend the lawn by a scale factor of 2.5, what will be the new area of the lawn?
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BBB A drawing of a ship has a scale of 1 inch equal to 5 feet. The actual ship is 18 feet long. How long is the ship in the scale drawing?
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BBB Use scale factor of 2 to dilate Δ PQR. Find the coordinates of the vertices after dilation with respect to the origin. BBB View Solution
BBB Triangle XYZ is dilated by a scale factor of 2 with the center of dilation at point X. What will be the area of the new triangle?
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BBB The length of a rectangle PQRS is 15 m. Find the measure of the dilation image for a scale factor of 45. BBB View Solution
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