C. ( 5, 0) D. ( 4, 1) Which statement is correct?
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1 MAFS.912.G-SRT Dilations are used to get films to fit onto a movie screen as shown below. 3. The circle shown in the coordinate plane below is the preimage under a dilation centered at the origin with a scale factor of 2. Which of the following points is NOT on the image of the dilation? The width of the film is 3 inches. The width of the movie screen is 52 feet. What is the scale factor of the dilation? 2. In the coordinate plane segment M N is the result of a dilation of segment MN by a scale factor of ⅓. Which point is the center of dilation? A. (-6, -6) B. (0, 0) C. (0, 6) D. (6, -6) MAFS.912.G-SRT Two similar triangles are graphed below. A. (1, 3) B. (0, 0) C. ( 5, 0) D. ( 4, 1) Which statement is correct? A. C~ YXZ B. C~ XZY C. BCA~ ZYX D. CBA~ ZYX
2 2. Triangles PQR and TUV are show below. 2. A single transformation was used to create two similar triangles. These triangles are shown on the coordinate grid below. Based on the drawing, which statement is true? A. PQR ~ TUV by the Angle-Angle Similarity Postulate B. PQR ~ TUV by the Side-Angle-Side Similarity Theorem C. PQR ~ TUV by the Side-Side-Side Similarity Theorem D. PQR ~ TUV are not similar. 3. Which transformation results in a figure that is similar to the original figure but has a greater perimeter? A. a dilation of C by a scale factor of 0.25 B. a dilation of C by a scale factor of 0.5 C. a dilation of C by a scale factor of 1 D. a dilation of C by a scale factor of 2 MAFS.912.G-SRT Look at the triangle. Which statement helps prove that the triangles are similar? A. K L M is the result of a rotation of KLM and a rotation preserves angle measures. B. K L M is the result of a dilation of KLM and a dilation preserves angle measures. C. K L M is the result of a rotation of KLM and a rotation preserves side lengths. D. K L M is the result of a dilation of KLM and a dilation preserves side lengths. 3. Triangle XYZ with vertices X( 1, 1), Y(2, 2) and Z(0, 0) is shown in the figure below. Which triangle is similar to the given triangle? A. B. C. D. A dilation of XYZ is centered at the origin and has a scale factor of 3. The image of XYZ under this dilation is MNP. Which statement is sufficient to prove XYZ~ MNP? A. X = 3 M and Y = 3 N B. X M and Y N C. XY = 3(MN) and YZ = 3(NP) D. XY = MN and YZ = NP
3 MAFS.912.G-SRT Triangle LMN is similar to triangle PQR. 4. In the triangle below, what is the approximate value of x? Which of the following sets of sides lengths could be those of triangle LMN? A. 2 in., 3 in., 4 in, B. 6 km, 7 km, 8 km, C. 8 ft., 15 ft., 17 ft. D. 9 m, 12 m, 15 m. A. 4 in. B. 4.5 in. C. 4.9 in. D. 5.1 in. 5. What is the value of x in the triangle below? 2. Which statement describes the relationship between C and ECD? A cm B. 5 3 cm C. 10 cm D. 15 cm A. The triangles are equilateral. B. The triangles are congruent. C. The triangles are isosceles. D. The triangles are similar. 3. A triangle has vertices at A ( 5, 4), B ( 1, 3), and C (6, 2). If C~ DEF, with D ( 12, 8) and E ( 4, 6), what are the coordinates of point F? A. ( 1, 6) B. (3, 9) C. (9, 3) D. (10, 4)
4 Mini Assessment # 1 1. A dilation with a center at P(0,0) and a scale factor k is applied to. MN Let M N represent the image of MN after the dilation. Select each correct statement. If k > 0, then M N > MN. If k > 1, then M N > MN. If 0 < k < 1, then M N < MN. If 0.5 < k < 1.5, then M N < MN. If k = 1, then M N = MN. If k = 0.5, then M N = 0.5(MN). 2. In the diagram, quadrilaterals FBAG and CDEF are rectangles. How long is DE rounded to the nearest tenth? Enter your answer in the box. 3. Given the two triangles shown, find the value of x. 4. The figure shows line segment JK and point P that is not collinear with points J and K. Suppose that line segment J K is the image of line segment JK after a dilation with scale factor 0.5 that is centered at point P. Which statement best desceibes the position of line segment J K. A. Line segment J K is parallel to line B. Line segment J K is perpendicular to line C. Line segment J K intersects line segment JK at one point, but it is not perpendicular to line D. Line segment J K lies on the same line as line 5. Triangle APQ is the image of C under a dilation centered at vertex A with scale factor 1 2. Triangle RBT is the image of C under a dilation centered at vertex B with scale factor 3 4. Which statement about C, APQ, and RBT is correct? A. All three triangles are similar. B. None of the triangles are similar. C. Triangles APQ and RBT are not similar because they were dilated using different scale factors. D. Triangles APQ and RBT are not similar because they were dilated with different centers of dilation. 6. Figure A B C D F is a dilation of figure CDF by a scale factor of 1. The dilation is centered at ( 4, 1). 2 Select from the value that correctly completes the sentence. The value of x is
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