Cogito
Grade 8 Math · Chapter 1 · Lesson 4
Sequences of Moves
Several transformations, one journey.
10 problems · about 19 minutes · 8.G.A.2
Figure — use these to answer the problems
Warm-Up Review
From earlier lessons. Loosen up before the new work.
3 problemsFrom “What a Transformation Does to Coordinates”
(6, −2) translated 3 left. What is the new x?
AnswerFrom “Congruence”
Congruent shapes, one side is 15. The matching side?
AnswerFrom “Moving a Shape Without Changing It”
(2, 9) reflected across the vertical axis. New first coordinate?
Answer
Warm Up
Straightforward practice. Get the method working first.
3 problemsRotated 90° three times. Total turn in degrees?
AnswerDo rigid motions keep side lengths the same? 1 for yes, 0 for no.
AnswerTranslated 5 right then 2 left. Net movement right?
Answer
Build It Up
The same ideas with more to keep track of.
2 problemsAre two figures congruent if a sequence of rigid motions maps one to the other? 1 for yes, 0 for no.
AnswerRotated 90° then 90° again. Total turn in degrees?
Answer
Stretch Yourself
Mixed problems. Work out what kind of question it is before you start.
2 problemsTwo Moves
A shape is translated 3 right, then 4 right. How far right in total?
AnswerTwo Reflections
A shape is reflected across the same line twice. How many units from its start?
Answer