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Understanding Similar Figures and Transformations in the Coordinate Plane

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This practice set consists of 8 questions designed to help students grasp the concepts of similar figures and transformations, including rotations, reflections, and translations. Students will analyze figures to identify transformations, calculate dimensions of enlarged shapes, and work with coordinates on a graph. Each question includes multiple-choice answers, facilitating targeted practice for geometry problems commonly encountered in standardized testing. Prepare effectively for your assessments with these clear examples focusing on crucial geometric principles.

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Understanding Similar Figures and Transformations in the Coordinate Plane

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  1. GHSGT Practice Similar Figures and the Coordinate Plane – 8 questions

  2. 1. Study Figures I and II. Determine which transformation, if any, of Figure I is shown in Figure II. • A. Rotation • B. Reflection • C. Translation • D. No transformation Figure I Figure II

  3. 2. Enrico has a picture that measures 5 inches in height and 7 inches in length. If Enrico enlarges the picture so that the height is 15 inches, what is the length? • A. 7 in. • B. 10 in. • C. 14 in. • D. 21 in.

  4. 3. Study Figures I and II. Determine which transformation, if any, of Figure I is shown in Figure II. • A. Rotation • B. Reflection • C. Translation • D. No transformation Figure I Figure II

  5. 4. Give the coordinates of point A on the graph. • A. (-5, 2) • B. (2, -4) • C. (2, -5) • D. (1, -5) A

  6. 5. Which point shown on the graph has the coordinates (4, -1)? • A. point A • B. point B • C. point C • D. point D •B •D •C •A

  7. 6. Find the missing length (x) for the pair of similar figures shown. • A. 16 cm • B. 24 cm • C. 36 cm • D. 48 cm 24 cm 12 cm 8 cm x

  8. 7. Look at the similar figures shown below. Which ratio gives the correct value for any two sides within each square? • A. 1:1 • B. 1:5 • C. 5:1 • D. 5:20 25 5 5 25

  9. 8. Give the coordinates of point C on the graph. • A. (2, 3) • B. (3, 2) • C. (1, 3) • D. (3, 1) •C

  10. Solutions • 1. C – this figure has been slid (translated) • 2. D – if the height is enlarged from 5 to 15, it is three times its original size. If the length is 7, it will be enlarged to 21 • 3. B – the figure is reflected; it is a mirror image • 4. C – the coordinates for point A are (2, -5) • 5. C – point C has the coordinates (4, -1)

  11. Solutions, continued • 6. A – the two figures are similar parallelograms with ratio 1:2. If the length of the first figure is 8, the length of the second is doubled to 16. • 7. A – all sides are equal on a square, therefore the ratio is 1:1. • 8. A – the coordinates for point C are (2, 3)

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