Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Homework Help

Lesson: Finding Translations on a Coordinate Plane

In this lesson, we will learn how to apply the concept of translation to a point or a geometric shape and determine the coordinates of a translated image on the xy-plane.

Worksheet • 25 Questions

Q1:

Three points 𝐴 , 𝐡 , and 𝐢 with coordinates (1, 3), (1, 2), and (4, 1), respectively, are translated three left and four up to the points 𝐴  , 𝐡  , and 𝐢  .

Determine the coordinates of 𝐴 β€² , 𝐡 β€² , and 𝐢 β€² .

  • A 𝐴 β€² = ( βˆ’ 2 , 7 ) , 𝐡 β€² = ( βˆ’ 2 , 6 ) , and 𝐢 β€² = ( 1 , 5 )
  • B 𝐴 β€² = ( 5 , 0 ) , 𝐡 β€² = ( 5 , βˆ’ 1 ) , and 𝐢 β€² = ( 8 , βˆ’ 2 )
  • C 𝐴 β€² = ( βˆ’ 2 , 3 ) , 𝐡 β€² = ( βˆ’ 2 , 2 ) , and 𝐢 β€² = ( 1 , 1 )
  • D 𝐴 β€² = ( 7 , βˆ’ 2 ) , 𝐡 β€² = ( 6 , βˆ’ 2 ) , and 𝐢 β€² = ( 5 , 1 )
  • E 𝐴 β€² = ( 1 , 7 ) , 𝐡 β€² = ( 1 , 6 ) , and 𝐢 β€² = ( 4 , 5 )

Is the measure of angle 𝐴 𝐡 𝐢 less than, greater than, or equal to the measure of angle 𝐴 β€² 𝐡 β€² 𝐢 β€² ?

  • Aless than
  • Bequal to
  • Cgreater than

Q2:

Find the coordinates of the point ( π‘₯ , 𝑦 ) after it is translated π‘š units left and 𝑛 units up.

  • A ( π‘₯ βˆ’ π‘š , 𝑦 + 𝑛 )
  • B ( π‘₯ βˆ’ π‘š , 𝑦 βˆ’ 𝑛 )
  • C ( π‘₯ + π‘š , 𝑦 βˆ’ 𝑛 )
  • D ( π‘₯ + 𝑛 , 𝑦 βˆ’ π‘š )
  • E ( π‘₯ βˆ’ 𝑛 , 𝑦 + π‘š )

Q3:

The two triangles and in the given figure are congruent. Select the congruence transformation that could have been used to map triangle to .

  • A a translation 6 right and 4 down
  • Ba translation 4 right and 2 down
  • C a rotation counterclockwise about the point
  • D a reflection about the -axis
  • E a reflection about the -axis
Preview

Related Lessons

Related Videos

Related Worksheets