Review for Unit 2 Learning Check Point 1: Distance Formula, Midpoint Formula, Translation, Rotation, Reflection

​This week you will be taking the Unit 2 Learning Check Point #1. The skills involved will include:

• ​Distance Formula

• ​​Midpoint Formula

• ​Rotation, Reflection, Translation

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​Write down the:

• ​Distance Equation

• ​The reminder about Squaring vs Square Rooting

• ​Entire example problem

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​What is the distance

between (1,2) and (-3,-5)?

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​The midpoint formula finds the point perfectly between two other points.

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The point perfectly in the middle is called the midpoint.

​A translation is just a slide up, down, left or right.

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​For example if I say I am (x+2, y+2), it means I am moving a point two right because x+2 means going right two, and moving the point up 2 because y+2 means going up two.

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​Rotation is a movement that keeps the figure looking EXACTLY the same, except it has been turned around a point and moved a certain amount.

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​Watch a bunch of GIFs to help explain it: https://www.mathsisfun.com/geometry/rotation.html

​Major Take aways:

• ​A reflection is the same distance from the line of reflection (or mirror line) as the original.

• ​The figures are identical (congruent) except they are flipped over the line. (Same size same shape)