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This document contains a series of geometry and algebra questions involving various concepts such as angle calculations, dilations, and reflections. The problems cover topics like finding unknown angles, applying transformations, and simplifying expressions. Each question includes a corresponding answer, making it a comprehensive resource for students looking to enhance their understanding of these mathematical principles. Identify corresponding angles, evaluate transformations, and explore similarity in triangles, along with algebraic solutions.
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Question 1 • Find x x 40 75
Answer • x=115
Question #2 b Find <a if <b=37
Answer: • <b= 143
Question 3 • What is T’ if T(-3, 6) is dilated by a scale factor of 5?
Answer • T’ = (-15,18)
Question 4 If JKLM is rotated by 180 counter clockwise, what is K’ ?
Answer • K’( -5, -5)
Question 5 Name a corresponding angle to <a a 1 2 3 4
Answer • <4
Question 6 Find the Value of x 85 (3x-5) x
Answer • x= 25
Question 7 Find the value of x 65 x
Answer • X= 25
55 Question 8 95 30 • Are the 2 triangles similar? Why or why not? 45 25 110
answer • No because their corresponding angles are not congruent
Question 9 • If NMO is reflected over the y-axis, what is O’? • O(-5,-6)
Answer • O’ (5,-6)
Question 10 • Simplify:
Question 11 • Simplify:
Question 12 • Simplify:
Question 13 • Simplify:
Answer • 7
answer • 2