4/5/2016 USATestprep, Inc. http://www.usatestprep.com/modules/quiz_factory/qf.php?testid=547 1/19 Grade 8 Mathematics EOG (GSE) Quiz Answer Key Geometry - (MGSE8.G.4 ) Similar 2-D Figures Student Name: _______________________ Date: _________ Teacher Name: THUYNGA DAO Score: _________ 1) reflect across the x-axis and then translate up 2 units Determine which rectangle was transformed to result in rectangle E. A) rectangle A B) rectangle B C) rectangle C D) rectangle D Explanation: If rectangle C is reflected across the x-axis and then translated up 2 units, it will map directly on top of rectangle E. 2)
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DeKalb County School Districtchambleems.dekalb.k12.ga.us/Downloads/IV-T4-SIMILAR 2-D FIGURES-24-KEY.pdfB) translate 4 units down and rotate 180° about the origin C) reflect the triangle
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Explanation:The solution is D to B. The dimensions of rectangle D are 2 x 3 and the dimensions of rectangle B are 6 x 9. This results in a ratio of1:3.
4)
Describe the transformation that maps the pre-image A to the image A'.
A) translated 9 units up and then reflected across the y-axis
B) translated 6 units to right and then translated 9 units up
C) translated 9 units to right and then translated 6 units up
D) translated 6 units to the right and then reflected across the x-axis
Explanation:When translated 6 units to right and then translated 9 units up, the pre-image A maps to image A'.
Describe the transformations that will map triangle A to triangle B and illustrate the similarity between the two triangles.
A) reflect triangle A across the y-axis and then translate triangle A 5 units down
B) reflect triangle A across the x-axis and then reflect triangle A across the y-axis
C) translate triangle A 4 units down and then rotate triangle A 180° counterclockwise about the origin
D) reflect triangle A across the x-axis and then rotate triangle A 90° counterclockwise about the origin
Explanation:To map triangle A to triangle B reflect triangle A across the x-axis and then rotate triangle A 90° counterclockwise about the origin.This series of transformations will map triangle A to triangle B and illustrate the similarity between the figures.
Describe the transformations that will map triangle A to triangle B and illustrate the similarity between the two triangles.
A) rotate 90° clockwise and then translate 6 units down
B) translate 4 units down and rotate 180° about the origin
C) reflect the triangle across the y-axis and translate 4 units down
D) reflect triangle A across the x-axis and then translate 1 unit right
Explanation:To map triangle A to triangle B translate 4 units down and rotate 180° about the origin. This series of transformations will maptriangle A to triangle B and illustrate the similarity between the figures.
Describe the transformations that will map triangle A to triangle B and illustrate the similarity between the two triangles.
A) reflect triangle A across the y-axis and then translate triangle A 5 units down
B) reflect triangle A across the x-axis and then reflect triangle A across the y-axis
C) rotate triangle A 270° counterclockwise about the origin and then reflect triangle A across the x-axis
D) rotate triangle A 90° counterclockwise about the origin and then translate triangle A 4 units to the right
Explanation:To map triangle A to triangle B rotate triangle A 270° counterclockwise about the origin and then reflect triangle A across the x-axis.This series of transformations will map triangle A to triangle B and illustrate the similarity between the figures.
Explanation:The solution is Kites; 1.5. The figures are kites since they are quadrilaterals with two disjoint pairs of congruent adjacent sides. Thescale factor is found by matching corresponding sides and simplifying the ratio.
D) The perimeter of ΔAED is one-fourth the area of ΔACB
Explanation:Solution: AED ~ ACB. The side lengths in the new triangle will be twice as large as the side lengths of the original triangle. Theangles are still congruent. Therefore, the triangles are similar.
21)
Describe the transformation that maps the pre-image A to the image A'.
A) translated 10 units to right and then 10 units up
B) translated 5 units to left and then reflected across the x-axis
C) translated 10 units to right and then reflected across the x-axis
D) translated 10 units to right and then reflected across the y-axis
Explanation:When translated 10 units to right and then reflected across the x-axis, the pre-image A maps to image A'.
Describe the transformations that will map triangle A to triangle B and illustrate the similarity between the two triangles.
A) rotate 90° clockwise and then translate 6 units down
B) translate 4 units down and rotate 180° about the origin
C) reflect the triangle across the y-axis and translate 4 units down
D) reflect triangle A across the x-axis and then translate 1 unit right
Explanation:To map triangle A to triangle B reflect the triangle across the y-axis and translate 4 units down. This series of transformations willmap triangle A to triangle B and illustrate the similarity between the figures.