Back to Geometry — Problem 1 · Task Set 36

8.G Tutor Intake — Transformations, Pythagorean Theorem, and Volume

This short check helps your tutor see where to begin. Answer each question on your own, without help or a textbook. If you are not sure, give your best try — the goal is to find what to work on together, not to grade you. You may use a calculator. Leave answers in terms of pi where asked.

Grade 8·15 problems·~14 min·Common Core Math - Grade 8·domain·g

Work through problems with immediate feedback

Transformations and Congruence

A line segment is 7 units long. The segment is rotated 90 degrees
about a point and then reflected across a line, so it now sits in a
different place and faces a different direction. What is the length of
the image segment after these rigid motions?

7 units — rigid motions (rotations and reflections) preserve length.

Less than 7 units — reflecting a segment flips it, which makes it shorter.

A different length — once a segment moves to a new location, its length changes.

It depends — a dilation like this can stretch or shrink the segment.