The option third ∠R ≅ ∠V is correct because line segment RS and UV are parallel which is crossed by a transversal RV.
<h3>What is the similarity law for triangles?</h3>
It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have given two triangles:
Triangle RST and Triangle VUT
AS we can see Line segment RS and UV are parallel.
Which is crossed by a transversal RV.
The angle SRV = Angle RVU
Thus, the option third ∠R ≅ ∠V is correct because line segment RS and UV are parallel which is crossed by a transversal RV.
Learn more about the similarity of triangles here:
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C. when opposite sides are congruent and parallel
A statement that can be expressed in if-then form is a conditional statement.
A sentence beginning with <em>if </em>poses a condition that has to be met.
The question is probably incomplete. What i am assuming is that the person might ask for the previous ratio or the total number of pens and pencil in the drawer.
So if it is the previous ratio it obviously would be 47 - 5 : 17 -3 so 42 : 14 and in case he or she is asking for the total number of pens and pencils in the drawer before so they were 42 + 14 hence 56.