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Lesson: Dilation in the Coordinate Plane

Sample Question Videos

Worksheet • 20 Questions • 1 Video

Q1:

The figure shows two triangles: 𝐴 𝐡 𝐢 and 𝐴 𝐡 𝐢 β€² β€² β€² .

Describe the single transformation that would map 𝐴 𝐡 𝐢 onto 𝐴 β€² 𝐡 β€² 𝐢 β€² .

  • Aa dilation from point ( βˆ’ 3 , 0 ) by a scale factor of 2
  • Ba translation of one up and two right
  • C a dilation from point ( βˆ’ 2 , 1 ) by a scale factor of 2
  • Da translation of one up and one right
  • E a dilation from point ( βˆ’ 1 , 2 ) by a scale factor of 2

Hence, determine whether triangles 𝐴 𝐡 𝐢 and 𝐴 β€² 𝐡 β€² 𝐢 β€² are similar.

  • AThey are not similar.
  • BThey are similar.

Q2:

Dilate the square 𝐴 𝐡 𝐢 𝐷 from the origin by a scale factor of 1 2 , and state the coordinates of the image.

  • A ( βˆ’ 3 , 1 ) , ( βˆ’ 5 , 1 ) , ( βˆ’ 5 , 3 ) , ( βˆ’ 3 , 3 )
  • B ( βˆ’ 6 , 1 ) , ( βˆ’ 1 0 , 1 ) , ( βˆ’ 1 0 , 3 ) , ( βˆ’ 6 , 3 )
  • C ( βˆ’ 6 , 2 ) , ( βˆ’ 1 0 , 2 ) , ( βˆ’ 1 0 , 6 ) , ( βˆ’ 6 , 6 )
  • D ( βˆ’ 3 , 2 ) , ( βˆ’ 5 , 2 ) , ( βˆ’ 5 , 6 ) , ( βˆ’ 3 , 6 )
  • E ( 1 , βˆ’ 3 ) , ( 1 , βˆ’ 5 ) , ( 3 , βˆ’ 5 ) , ( βˆ’ 3 , 3 )

Q3:

The quadrilateral 𝐴 𝐡 𝐢 𝐷 in the given figure has been dilated from the center point π‘₯ to the quadrilateral 𝐴 β€² 𝐡 β€² 𝐢 β€² 𝐷 β€² . What is the scale factor of the dilation?

  • A βˆ’ 1 2
  • B1
  • C 1 2
  • D2
  • E βˆ’ 2
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