Name:______________________________________________
Date:________ Period:_______
Translations off the Coordinate Plane
Geometry Honors
Translations off the Coordinate Plane
Do Now:
1.) You will need a compass and a straightedge. Construct a parallel line through a point.
Translations off the Coordinate Plane:
As we learned in our last lesson a ______________________ object follows the path of a
______________. We learned that within a translated object, the vectors are _______________ to each
other and are the _______________________________.
Example:
1.) In the diagram below, segment AB is translated to produce A’B’.
(a) Draw the vector that defines this translation.
(b) Using your compass, locate B’.
(c) Construct segment A’B’.
When we apply translations off the coordinate plane, we sometimes use the notation ________. This
means that we are applying translations across the vector AB. Remember, a _______________ shows
________________ and __________________. So we must go in that same direction and it must be that
length.
2.) Apply
⃗⃗⃗⃗⃗
to ∆XYZ.
Steps:
1.) Draw circle X, circle Y, and circle Z, with radius AB.
2.) Start to draw circle B with radius AX. Stop when it intersects circle X.
3.) Label this point as X'.
4.) Start to draw circle B with radius AY. Stop when it intersects with circle Y.
5.) Label this point as Y'.
6.) Start to draw circle B, with radius AZ. Stop when it intersects with circle Z.
7.) Label this point as Z'.
8.) Connect X'Y'Z' to draw ΔXYZ.
3.) Apply
⃗⃗⃗⃗⃗
to ∆ABC.
4.) Apply
⃗⃗⃗⃗
to ∆LOU.
Name:______________________________________________
Date:________ Period:_______
Translations off the Coordinate Plane Homework
Geometry Honors
Translations off the Coordinate Plane: Homework
Use a compass and a straightedge to complete all constructions. Show all construction marks.
1.) In the diagram below, segment JA is translated to produce segment J’A’.
(a) Draw a vector that defines this translation.
(b) Using your compass, locate A’.
(c) Construct segment J’A’.
2.) Apply
⃗⃗⃗⃗⃗
to
.
3.) Which expression best describes the transformation shown in the diagram?
(1) same orientation; reflection
(2) opposite orientation; reflection
(3) same orientation; translation
(4) opposite orientation; translation
Review Questions:
4.) In the diagram of ∆JEA below, m<JEA = 90 and m<EAJ = 48. Line segment MS connects points M and S
on the triangle, such that m<EMS = 59. What is the m<JSM?
(1) 163
(2) 121
(3) 42
(4) 17
5.) Use the diagram below to find the value of g. Show all work and explain how you arrived at your
answer.
6.) Use the diagram below to determine the values of a and b. Justify all calculations.