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Lesson 2 Triangle Dilations Solidify Understanding

Ready

1.

  1. ___

    Intersecting lines with angles 1 and 2 opposite.

  2. ___

    Angles 1 and 2 form 90 degree angle

  3. ___

    A transversal and set of parallel lines with angles 1 and 2 labeled.

  4. ___

    Intersecting lines with angles 1,2 next to each other.

  5. ___

    Triangle with angles 1,2,3.

  6. ___

    A transversal and set of parallel lines with angles 1 and 2 labeled.

  1. Alternate Interior Angles

  2. Vertical Angles

  3. Complementary Angles

  4. Triangle Sum Theorem

  5. Linear Pair

  6. Same Side Interior Angles

Set

2.

Create an image by applying a dilation with point as the center of dilation and a scale factor of .

Triangle with point C not on the triangle.

3.

Create an image by applying a dilation with point as the center of dilation and a scale factor of .

Triangle with point C not on the triangle.

4.

Create an image by applying a dilation with point as the center of dilation and a scale factor of .

Quadrilateral with Point C not on the triangle.

5.

Create an image by applying a dilation with point as the center of dilation and a scale factor of .

Pentagon with Point C inside the pentagon.

Decide if the two given figures are similar. Include as many details as possible about the transformations used to justify the similarity. For example, if a dilation is used, state details such as the center of the dilation and the scale factor.

6.

Larger triangle CDE and smaller triangle C'D'E'

7.

Smaller arrow BCDEF and larger arrow B'C'D'E'F'

8.

larger quadrilateral GHIJ and smaller quadrilateral G'H'I'J'.

9.

larger triangle ABC and smaller triangle AB'C'

Go

Based on the given image and pre-image, determine the transformation that occurred. Justify the transformation occurred by showing evidence of some kind.

(For example, if the transformation was a reflection, show the line of reflection exists and prove it is the perpendicular bisector of all segments that connect corresponding points from the image and pre-image. Provide similar evidence for rotations, translations, and dilations.)

10.

Triangle CBD with Point B facing downwards. Triangle B'C'D' with B' facing to the left.

11.

Quadrilateral ABCD with A facing downwards and Quadrilateral A'B'C'D' with A' facing towards the left.

12.

Stick person with Triangle CDE as head. Stick person with Triangle C'D'E' to the right of first stick person.

13.

Pentagon BCDEF with pentagon B'C'D'E'F' inside Pentagon BCDEF