Mathematics, 21.12.2019 01:31 lee1677

Which similarity postulate or theorem can be used to determine if the two are similar

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Answer from: Felicitybuckman

Side-Angle-Side similarity Theorem

Step-by-step explanation:

If you want to know whether two triangles are similar or not, and you know the lenght of two sides and the corresponding angle between the sides, you can apply the Side-Angle-Side similarity Theorem. This theorem states that, if the mentioned angle is similar (wich is in this case, both angles equal 46º), and the lenghts of the sides that contains the angle are proportional (also the case : if we evaluate the proportion of the sides of the first triangle $\frac{70}{100}=0.7$ , it is equal to the proportion of the sides of the second triangle $\frac{28}{40}=0.7$ ), the triangles are similar.The Side-Side-Side similarity Theorem states that. two triangles are similar if each side of the triangle is proportional to the corresponding side of the other triangle. To apply this theorem, you must have information about the lenghts of all the sides of the triangles, which is not the case.The Angle-Angle similarity Theorem states that two triangles are similar if the angles of the first triangle are congruent to two angles of the other triangle. To apply this theorem, you must count on information about the two angles of the two triangles, which is not the case.

Answer from: Quest

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3 (change the inequality sign when multiplying or dividing by a negative number)

y < -3

Answer from: Quest

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

$\frac{ab}{bc} =\frac{ad}{ab}$

now, we can cross multiply

and we get

$ab\timesab=ad\times bc$

$ab^2=ad\times bc$

so, this could be step to prove it

Seth is using the figure shown below to prove pythagorean theorem using triangle similarity: in the

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Which similarity postulate or theorem can be used to determine if the two are similar
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