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 always, sometimes, 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?
Describe a sequence of transformations for which Quadrilateral P is the image of Quadrilateral Q.
