Problem

Tell whether the triangles are similar. See Examp…

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Problem 40 Hard Difficulty

Refer to the similar triangles shown below. See Example 4.
(FIGURE CANNOT COPY)
a. Name 3 pairs of congruent angles.
b. Complete each proportion.
$$\frac{W Y}{D F}=\frac{}{F E}=\frac{W X}{F E} \quad \frac{}{EF}=\frac{W Y}{D F}$$
c. We can write the answer to part b in a more compact form:
$$\frac{}{D F}=\frac{Y X}{}=\frac{W X}{ }$$

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Prealgebra

Chapter 9

An Introduction to Geometry

Section 5

Congruent Triangles and Similar Triangles

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Video Transcript

the three congruent angles. Corresponding angles are, uh, w and D X and E. And why? And f We can set a proportions just to solve for side links. So we want to set those up with corresponding side links. So w why corresponds with d f. So we put that in our first ratio, and this is equal Teoh side link that is corresponding to f e. So we're gonna locate f e. So it's gonna be why X so we were right. Why x here and w x w x corresponds to d e. And this could be equal to side length. Why x over f e repeated here. Um, something is to e f as w y is two DF so e f f goes in this direction. So it's gonna be X y we can write this, um, more simple with three equal ratios. So we're gonna pick the three non repeated we're gonna pick W. Why is two D f and this is equal to why x over f. E s. So we've already used this one, and we've already used this one, and we've already used this one as well. Um, it's just written backwards. And so we're gonna say that thes three ratio and sorry called This will help us find all the unknowns.

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Alan S. Tussy, R. David Gustafson, Diane R. Koenig

Prealgebra

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Problem

Tell whether the triangles are similar. See Examp…

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Prealgebra

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Watch More Solved Questions in Chapter 9

Video Transcript

Alan S. Tussy, R. David Gustafson, Diane R. Koenig

Prealgebra

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Prealgebra

Alan S. Tussy, R. David Gustafson, Diane R. KoenigPrealgebra

Alan S. Tussy, R. David Gustafson, Diane R. Koenig

Prealgebra