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IM 8.2.8 Practice: Similar Triangles

In each pair, some of the angles of two triangles in degrees are given. Use the information to decide if the triangles are similar or not. Explain how you know.

Triangle A: 53, 71, ___; Triangle B: 53, 71, ___

Triangle C: 90, 37, ___; Triangle D: 90, 53, ___

Triangle E: 63, 45, ____; Triangle F: 14, 71, ____

Triangle G: 121, ___, ___; Triangle H: 70, ___, ___

Use the following applet to answer the questions below.

Draw two equilateral triangles that are not congruent. Measure the side lengths and angles of your triangles. Are the two triangles similar?

Do you think two equilateral triangles will be similar alwayssometimes, or never? Explain your reasoning.

In the figure, line BC is parallel to line DE.

Explain why  is similar to .

The quadrilateral PQRS in the diagram is a parallelogram. Let P'Q'R'S' be the image of PQRS after applying a dilation centered at a point O (not shown) with scale factor 3.

Which of the following is true?

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

Describe a sequence of transformations for which Quadrilateral P is the image of Quadrilateral Q.