McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
7. Vectors
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Exercise 69 Page 690

Look carefully at the given diagram. Can you notice any congruent triangles?

â–ł 1-4 are congruent, â–ł 5-12 are congruent, and â–ł 13-20 are congruent

Practice makes perfect

We are given a figure that contains 20 triangles and asked to indicate which of the triangles are congruent. Let's look at the given diagram.

Notice that we are asked to assume that segments and angles that appear to be congruent are congruent. Looking at the diagram, we can see three types of differently shaped triangles. First, triangles 1,2,3, and 4 seem to be congruent and isosceles.

Secondly, triangles 5-12 seem to be congruent right triangles.

Finally, there are four figures that appear to be congruent rectangles. The diagonal of each of them divides each rectangle into two right triangles. Therefore triangles 13-20 seem to be congruent right triangles.