Back to Tutor Intake Assessment: Lines are taken to lines, and line segments to line segments of the same length

8.G.A.1.a Tutor Intake -- Rigid Motions Preserve Lines and Length

This short check helps your tutor see where to start. Work on your own,
without a calculator. Do your best -- the goal is to find what to work
on together, not to grade you.

Grade 8·5 problems·~7 min·Common Core Math - Grade 8·standard·8-g-a-1a

Work through problems with immediate feedback

Concepts

A straight line is translated (slid) 4 units to the right. What
does the image look like?

A straight line

A curve that bends toward the direction of the slide

A line segment with two endpoints

A shape that depends on which two points were on the original line

Segment AB has length 7 cm. The segment is reflected across the
y-axis to form segment A'B'. What is the length of A'B', in cm?
Enter a number.

Procedures

Segment CD has endpoints C(-3, 2) and D(1, -1), so CD = 5. The
segment is rotated 180 degrees about the origin to form segment
C'D'. What is the length of C'D', in units? Enter a number.

Segment EF has length 4. A dilation centered at the origin with
scale factor 2 is applied to EF, producing segment E'F'. Which
statement is correct?

E'F' is a straight segment of length 8 -- dilation is not a rigid motion

E'F' is a straight segment of length 4 -- dilation is a rigid motion

E'F' is a curve, not a segment

E'F' is a straight segment of length 8 -- dilation is a rigid motion

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