Combinations of Transformations Day 2

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Pre-Algebra – Unit 6 – Combinations of Transformations Day 2
For each set of pre-image coordinates below, give the set of image coordinates for each transformation.
Then, give the image coordinates after performing the second transformation.
Rotation: 270 degrees counterclockwise
Rotation: 90 degrees counterclockwise
Dilation k = 4
Rotation: 180 degrees
Translation (𝒙, π’š) β†’ (𝒙 + 𝟏𝟎, π’š)
Rotation: 270 degrees counterclockwise
Reflection: x-axis
Reflection: y-axis
Translation (𝒙, π’š) β†’ (𝒙 + πŸ‘, π’š βˆ’ πŸ•)
Dilation k = 2
Reflection: x-axis
Translation (𝒙, π’š) β†’ (𝒙 βˆ’ πŸ‘, π’š)
Translation (𝒙, π’š) β†’ (𝒙, π’š βˆ’ πŸ•)
Dilation: π’Œ = 𝟏𝟐
Reflection: y-axis
Translation (𝒙, π’š) β†’ (𝒙 + πŸ‘, π’š)
Solve each equation. Show any work that leads to your answer.
2π‘₯ + 9π‘₯ = 33
5π‘₯ + 14 βˆ’ 12π‘₯ = 49
3(π‘₯ βˆ’ 6) + 2π‘₯ = 32
Find the missing side length of each triangle shown below.
Determine whether or not each triangle is a right triangle. Show all work that supports your answer.