Math CC7/8 – Be Prepared On Desk: Learning Log: Pencil Highlighter Math Journal BPW Learning Log Learning Log: HW: p. 65, #11-13 and WS #6,7,27 Polyptych – Turn in?! (LATE) 3. BPW Quiz – Thursday! Practice Quiz Tomorrow! 4. BPW Small Test – Tues. 6/5 (No Retake!) 5. Final Assessment – Tues/Wed, 6/12-13

Tasks for Today Warm Up– Rotating on a coordinate grid Lesson 3.4 and 3.5 – Special Properties of Translations & Half Turns

Warm Up Draw a rotation of 180 degrees about the origin for the figure shown.

Which segments correspond with segment AB after a translation? Which segments correspond with segment AB after a 180 degree rotation?

You’ll learn this next year! Slope of segment AB? Slope of segment FG? The segments are parallel. Both slopes are -2 You’ll learn this next year!

Yes, other pairs of corresponding sides are parallel Yes, other pairs of corresponding sides are parallel. We can confirm that by checking the slopes of each segment in each pair.

They are congruent and parallel. Hint: find their slopes… are they the same? Both slopes are -2.

Yes, other pairs of corresponding sides are parallel Yes, other pairs of corresponding sides are parallel. We can confirm that by checking the slopes of each segment in each pair.

Any translation “moves” every line m to a line n so that m and n are parallel. Any half-turn “moves” every line m to a line n so that m and n are parallel.

They are opposite, or vertical angles are formed when two lines intersect.

Sliding, or translating line n along line t will take line n onto parallel line m, so the sides of angle 5 will be “moved” onto those of angle 1.

The two images of AC are each parallel to AC, and they share an endpoint, B. So, they must lie in one straight line, since there is only one line through B parallel to AC.

The angles 1, 2, and 3 make a straight angle at B as shown. Yes! There was nothing specific about this triangle, and the characteristics of half-turns we used are always true.