Mathematics, 16.10.2020 06:01 madmatt873

Can someone help me with the concept of this? We have a worksheet with like 45 questions and I have no clue how to do it. We have to say if it’s similar or not and then, how we know theyre similar, and a similarity statement

Can someone help me with the concept of this? We have a worksheet with like 45 questions and I have

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Answer from: chaseashley24

9514 1404 393

make use of the ways similarity can be shown

Step-by-step explanation:

Similarity of triangles can be shown two (2) ways:

corresponding angles are congruentcorresponding sides are proportional

In a worksheet like this, you may see several kinds of problems. The keys will be ...

the parts that you claim are proportional or congruent must be correspondingthe sum of angles in a triangle is 180°.

When two angles are given, as here, at least one of them in one triangle must match one in the other triangle.

Here, neither of the measures 35 and 96 matches either of the measures 36 and 95. These triangles cannot be similar.

Further discussion on working these problems

If one of the numbers does match, then you need to find the third angle to see if it matches the remaining angle. If two numbers match, the triangles are similar by AA.

Even if you find all three angles match, you need to carefully check any similarity statement to make sure it lists the matching angles in the same order.

For example, suppose both sets of angles in these triangles were 94 and 37. ∆QRS lists these in the order 94° angle, 37° angle. Then the similarity statement would have to list the other triangle's vertices in the same order: ∆UVW. A typical problem might claim similarity to ∆VUW, just to see if you're paying attention to detail. That claim would be false.

For comparing side lengths, it can work well to compare them smallest-to-largest, or in some other order you find easy to remember.

Answer from: Quest

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that $\frac{ab}{de}=\frac{bc}{ef}$ .

also, it is given that $\frac{ab}{de}=\frac{3}{4}$

so, from the options, we need that $\frac{bc}{ef}=\frac{3}{4}$ .

a. $\frac{bc}{ef}=\frac{6}{9}=\frac{2}{3}$

b. $\frac{bc}{ef}=\frac{4}{6}=\frac{2}{3}$

c. $\frac{bc}{ef}=\frac{8}{12}=\frac{2}{3}$

d. $\frac{bc}{ef}=\frac{12}{16}=\frac{3}{4}$

as, we can see that only option d gives the same ratio as $\frac{ab}{de}=\frac{3}{4}$ i.e. $\frac{bc}{ef}=\frac{3}{4}$ .

hence, the possible lengths are bc = 12 and ef = 16.

Answer from: Quest

step-by-step explanation:

8+8+6+6

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