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8th Unit 6 REVIEW: TRANSFORMATIONS8.10A1. The triangle below is to be reflected across the y-axis.In which quadrant or quadrants will the image be located?8.3C4. Triangles ABC and A′B′C′ are shown on the coordinate plane. Which algebraic representation shows how to find the coordinates of triangle A′B′C′?F 13x,13y→ (x, y)G 3x,3y→ (x, y)H (x, y) → 3x,3yJ (x, y) → 13x,13y8.10C2. What does the algebraic representation (x, y) → (x, - y) represent?F Each point of a figure will be rotated 90° clockwise. G Each point of a figure will reflected across the x-axis.H Each point of a figure will be reflected across the y-axis.J Each point of a figure will be rotated 90° counterclockwise.8.10B5. Which of the following statements is true about a triangle that has been rotated 180° counter clockwise?A The image will have the same orientation as the pre-image.B The image will be smaller than the pre-image.C The image will be larger than the pre-image.D The image will be congruent to the pre-image. 8.3C3. A square has a perimeter of 120 centimeters. The square is dilated to create a square with a sidelength of 40 centimeters. Which algebraic representation is correct for the dilation?A (x, y) → (3x, 3y)B (x , y) → (43x, 43y)C (x , y) → (34x, 34y)D (x, y) → (1.75x, 1.75y)8.10C6. Quadrilateral ABCD has vertices A (3, 2), B (5, 7) C (8, - 2) and D (6, - 5). Quadrilateral ABCD will be translated to create quadrilateral A′B′C′D′. If A is translated to A′ ( -3, 7), write an algebraic rule that describes the translation? (x, y) → (x , y )8.10B7. The triangle below is to rotated 180° clockwise.Fill in the blanks:A The image will be __________ to the preimage.B The image will be located entirely in Quadrant _________.C The image _________(will or will not) have the same orientation as the preimage.D The image of vertex C will be C’(____,_____)8.10A10. The triangle below is to be translated using the rule (x, y) → (x + 5, y – 2)In which quadrant or quadrants will the image be located?F I onlyG I and II onlyH III onlyJ IV only8.10C8. Triangle ABC with coordinates A(3, 6), B( -4, 2) and C(2, -4 ) is to be reflected across the x-axis and then translated 2 units down. What will be the coordinates of A′′ ?8.3C11. Which of the following represents a dilation that is a reduction with a scale factor larger than 0.6?A (x, y)→ (3x, 3y) B (x, y) → (0.3x, 0.3y)C (x, y) → (0.9x, 0.9y)D (x, y) → (0.2x, 0.2y)8.8D9. Using the diagram above, find the measures of the following:x = _______m B = _______m C_______8.5I12. What is the equation for the values in the table? x–4–202y34568.10B 13. Megan started with ?RST and then performed four transformations. After which transformation is the figure NOT congruent to ?RST? TransformationDescription1Dilation by a scale factor of 35290° rotation about the origin3Translation up 6 units and right 2 unit4Reflection over the y-axis8.10C15. If (5, 4) → (4, - 5) represents a counterclockwise rotation of the point on a coordinate plane, how many degrees is the rotation?A 90°B 180°C 270°D 360°8.10C14. Write an algebraic representation that describes the transformation from trapezoid ABCD to trapezoid A′B′C′D′? 200025154305Trapezoid ABCDTrapezoid A′B′C′D′A(0, 3)A′(–1, 0)B(–5, 3)B′(–6, 0)C(–1, 6)C′(–2, 3)D(–4, 6)D′(–5, 3)00Trapezoid ABCDTrapezoid A′B′C′D′A(0, 3)A′(–1, 0)B(–5, 3)B′(–6, 0)C(–1, 6)C′(–2, 3)D(–4, 6)D′(–5, 3) (x, y) → (x , y )8.8D16. In the sketch below, two parallel lines are cut by a transversal. If m1 = (2x)° and m3 = (8x - 20)°, what is the measure of 2?8.10C17. Which of the following statements is true about the figures on the grid below? A The transformation used was a reflection. The figures are congruent.B The transformation used was a translation. The figures are congruent.C The transformation used was a rotation. The figures are congruent.D The transformation used was a dilation. The figures are not congruent.8.7D19. Look at point A on the grid below. Point B is 8 units left and 5 units up from point A.To the nearest tenth of a unit, what is the distance between A and B?8.3C 18. ?RST is shown on the coordinate plane below. Find the coordinates of the vertices of the image of ?RST reflected across the x-axis.-2540-190500A (2, ?3), (4, ?6), (5, ?1) B(2, 3), (4, 6), (5, 1)C (0, 3), (–2, 6), (–3, 1)D (–2, ?3), (–4, ?6), (–5, ?1) 8.5I20. What is the slope of the equation of a line that crosses the y-axis at the origin, and for every vertical increase of three units, it increases horizontally by ten units? ................
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