What is the ratio between perimeters of two squares one having 3 times the diagonal then the other?
Correct answer: D. 3:1
- A. 4:8
- B. 1:4
- C. 6:2
- D. 3:1
Explanation
All squares have the same fixed relationship between side and diagonal, so if one diagonal is three times the other, its side is also three times as long. Perimeter is four times the side, so the perimeters are in the ratio 3:1. The likely wrong choice is 1:4, which reverses the ratio and also confuses perimeter with area.
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Triangles and angles involve angle pairs, vertically opposite angles, parallel lines, triangle angle sums, exterior angles, congruence, similarity, and the Pythagorean theorem. Questions also test properties of isosceles and equilateral triangles, with similarity focusing on proportional sides while congruence requires identical size and shape.
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