1. The document provides instructions and examples for solving problems involving midpoint and distance formulas, as well as transformations in the coordinate plane. Practice problems are given for finding midpoints and distances between points, as well as homework instructions. 2. Key terms related to transformations are defined, including reflection, rotation, translation, arrow notation, and the rule for describing translations. 3. Examples are given of transformations, including reflections across lines and rotations about points. Formulas and notation for describing translations are also provided.

1. Opener:
1. Find the coordinates of the midpoint of PQ with endpoints P(‐8, 3) and Q(‐2, 7).
2. Find XM. X has coordinates (2, 7), and M has coordinates (6, 1).
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2. Extra Distance & Midpoint Practice:
1. If CD = 12 and C(4, ‐7) and D(2, y), what's the value of y?
2. If the midpoint of a segment is (8, ‐2) and one of the endpoints is (12, 6), what
is the other endpoint?
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3. Homework Add‐On:
Choose at least 3 of the problems that you got deductions on from
your quiz.
Write a new quiz problem that tests the same skill in a similar way
(using a quadratic for example in #15).
Solve each problem, showing your work to demonstrate that you
understand your mistakes.
If you do more than 3, you may receive some type of reward for your
efforts...
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4. Section 1.7: Transformations in the Coordinate Plane
Some vocabulary:
1. Transformation: a change in the position,
size or shape of a figure
2. Preimage: the original figure
3. Image: the resulting figure after
the transformation
4. Reflection: (flip) a transformation
across a line
5. Rotation: (turn) a transformation
about a point
6. Translation: (slide) a transformation where
all points of a figure move the same
distance in the same direction
7. Arrow Notation: a way of describing transformations
ABC ‐‐> A'B'C'
8. Rule: descriptors for translations ‐ (x, y) ‐‐> (x + a, y + b)
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