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Lesson 2

1. Lesson 2

1.2. Are You Ready?

Mathematics 20-3 Module 4

Module 4: The Right Kind Of Triangles

 

Are You Ready?
  1. If the corresponding angles of two triangles are equal in measure, the triangles are similar.

    This is an illustration of similar triangles.

    In the diagram, is similar to because , , and .

    1. What does similar mean? Answer

    2. What does the symbol mean? Answer

    3. If two triangles are similar, what symbol can you use for “is similar to”? Answer

  2. If two triangles are similar, the ratios of the corresponding sides are equal; that is, the corresponding sides are proportional. In the diagram for question 1, what are the equal ratios? Use the two-letter names for the lengths of the sides. Answer

  3. If the corresponding sides of two triangles are proportional, the triangles are similar.

    In the following diagram, if , then, .

    This is an illustration of similar triangles.

    Since the triangles are similar, name the pairs of angles that are equal in measure. Answer

  4. In the diagram , what is the value of x? Answer

    This is an illustration of similar triangles.

  5.  
    1. What is the measure of angle x? Answer

      This is an illustration of vertically opposite angles.

    2. What are these angles called? Answer

If you answered the Are You Ready? questions without problems, move on to Discover.

 

If you found the Are You Ready? questions to be difficult, complete Refresher to review these topics.