Download Geometry Exam Questions: Triangle Similarity and Transformations and more Exams Nursing in PDF only on Docsity!
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use the information to complete the proof. given: triangle abc has side lengths ab = 9, bc = 14, and ac = 6.5 triangle def has side lengths de = 13.5, ef = 21, and df = 9. prove: △abc ∼ △def. match each numbered statement with the correct reason. - CORRECT ANSWER ✅1. given
- the ratio of corresponding sides
- transitive property of equality
- sss similarity theorem a ferris wheel is 136 feet tall. it casts a 34-foot shadow. what is the height, in feet, of a nearby man that casts a shadow of 1. feet? - CORRECT ANSWER ✅ 6 use the diagram and information to complete the proof.
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given: de ∥ac prove: bd/da = be/ec the following table shows steps 1 through 5 of the proof. for steps 6 through 11, match each numbered statement with the correct reason. - CORRECT ANSWER ✅6. segment addition postulate
- substitution property of equality
- expansion of fractions
- divide
- subtraction property of equality
- reciprocals of both sides use the diagram and given information to complete the proof.
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match each blank with the number or equation that correctly fills in that blank. - CORRECT ANSWER ✅blank 1: 46/23 = be/ blank 2: 28 use the following information to answer the question. triangle abc has side lengths ab = 16, bc = 13, and ac = 7. triangle def has side lengths de = 4, ef = 3.25, and df = 1.75. janna needs to prove △abc ∼△def. which methods can she use to help her prove the triangles are similar by the sss similarity theorem? select all that apply. - CORRECT ANSWER ✅XXX (all that equal 4) = 4 use the graph to answer the question. https://cdstools.flipswitch.com/asset/media/ which answers are true statements about the transformation that maps triangle abc to triangle a'b'c'? select all that apply. - CORRECT ANSWER ✅the transformation doesn't preserve side lengths.
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the transformation preserves angle measures. the transformation is a nonrigid transformation. examine the following triangle, where segment ef is a midsegment of triangle abc. it can be proven that △cef ∼ △cab, and since fe is a midsegment, [blank]. the corresponding sides in similar triangles must be proportional, so ef = 1/2ab. which statement best fills in the blank to explain why ef = 1/2ab? - CORRECT ANSWER ✅ce = 1/2ca use the graph to answer the question. https://cdstools.flipswitch.com/asset/media/ a dilation maps triangle prs to triangle p'r's'.
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https://cdstools.flipswitch.com/asset/media/ which statement best explains whether △abc is similar to △def? - CORRECT ANSWER ✅there is not enough information to determine whether the triangles are similar. use the graph of △ghi and its image to answer the question. which sequence of transformations maps the points of △ghi onto △g'h'i' showing that △ghi is similar to △g'h'i'? - CORRECT ANSWER ✅rotate △ghi 90 clockwise about the origin and dilate it by a factor of 2/3 through the origin. a segment is dilated by a factor of 2.5 and the resulting segment is parallel to the original segment. which statement must be true? - CORRECT ANSWER ✅the center of dilation is not on the original segment. use the image to answer the question. https://cdstools.flipswitch.com/asset/media/
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which statement best describes the relationship between the triangles?
- CORRECT ANSWER ✅the triangles are not similar because they do not have 3 pairs of congruent angles. a segment is dilated, and the resulting segment is shorter than the original. which of the following options could be the scale factor of the dilation? select all that apply. - CORRECT ANSWER ✅1/ 3/ use the diagram and information to complete the proof. the following table shows steps 1 through 5 of the proof. for steps 6 through 11, match each numbered statement with the correct reason. - CORRECT ANSWER ✅6. segment addition postulate
- substitution property of equality
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under a dilation, triangle a(0,0), b(0,3), c(5,0) becomes triangle a'b'c'.. the scale factor for this dilation is 3. what is the length of a'b', in inches? - CORRECT ANSWER ✅ 9 a garden wall is 4 feet in height and has a 6-foot shadow. a tree in the garden casts a 24-foot shadow at the same time of day. what is the height of the tree? - CORRECT ANSWER ✅ 16
