The ratio of girls to boys in a running club was 3:5. There were 15 girls. How many total members were there in total?

1 answer:

5 0

Answer:

Step-by-step explanation:

The number of girls is represented by 3 parts of the ratio.

Divide number of girls by 3 to find value of one part of ratio.

$\frac{15}{3}$ = 5 ← value of 1 part of ratio, thus

5 parts = 5 × 5 = 25 ← number of boys

Total members = 15 + 25 = 40

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Using transformations and congruency concepts, it is found that with these following transformations, the triangles will be congruent.

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Two triangles are congruent if they have the same lengths of the sides and the same angles.

In a reflection, there is a rule that changes the coordinates (x,y), but does not change the lengths of the sides of the triangles, thus they will still be congruent.
A reflection is also a special case of rotation, thus, in a rotation, the triangles are also congruent.
A translation is also similar to a reflection, using rules to shift the triangle up, down, left or right according to it's coordinates, not changing the sides or angles, thus congruent.
In a dilation, the lengths of the sides are changed, thus, the triangles will not be congruent.