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Lesson 1 Homework/Exit Ticket

Homework

Rectangle A measures 12 cm by 3 cm. Rectangle B is a scaled copy of Rectangle A. Select all of the measurement pairs that could be the dimensions of Rectangle B.

  1. 6 cm by 1.5 cm
  2. 10 cm by 2 cm
  3. 13 cm by 4 cm
  4. 18 cm by 4.5 cm
  5. 80 cm by 20 cm

Rectangle A has length 12 and width 8. Rectangle B has length 15 and width 10. Rectangle C has length 30 and width 15.

  1. Is Rectangle A a scaled copy of Rectangle B? If so, what is the scale factor?
  2. Is Rectangle B a scaled copy of Rectangle A? If so, what is the scale factor?
  3. Explain how you know that Rectangle C is not a scaled copy of Rectangle B.
  4. Is Rectangle A a scaled copy of Rectangle C? If so, what is the scale factor?

Here are three polygons.

  1. Draw a scaled copy of Polygon A with scale factor 12.
  2. Draw a scaled copy of Polygon B with scale factor 2.
  3. Draw a scaled copy of Polygon C with scale factor 14.

Extra Credit

Which of these sets of angle measures could be the three angles in a triangle?

  1. 40∘, 50∘, 60∘
  2. 50∘, 60∘, 70∘
  3. 60∘, 70∘, 80∘
  4. 70∘, 80∘, 90∘

In the picture lines AB and CD are parallel. Find the measures of the following angles. Explain your reasoning.

  1. ∠BCD
  2. ∠ECF
  3. ∠DCF