Corollaries of Similar Triangles (Leaving Cert Mathematics): Quizzes
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Practise the questions
10 questions from this quiz
If a line divides two sides of a triangle proportionally, what is its relationship to the third side?
If a line divides two sides of a triangle proportionally, what is its relationship to the third side?
It is parallel to the third side
What relationship does Corollary 5 establish when a line divides two sides proportionally?
What relationship does Corollary 5 establish when a line divides two sides proportionally?
The line is parallel to the third side
For similar triangles, how do their areas relate to their corresponding sides?
For similar triangles, how do their areas relate to their corresponding sides?
Area ratio = square of side ratio
What power is the side ratio raised to when finding the area ratio of similar triangles?
What power is the side ratio raised to when finding the area ratio of similar triangles?
2
Why do areas in similar triangles scale quadratically with side ratios?
Why do areas in similar triangles scale quadratically with side ratios?
Heights are proportional
In , if , what can be concluded about and ?
In , if , what can be concluded about and ?
If similar triangles have sides in ratio , what is the ratio of their areas?
If similar triangles have sides in ratio , what is the ratio of their areas?
What property of similar triangles enables the quadratic area relationship?
What property of similar triangles enables the quadratic area relationship?
Proportional heights
In Example 2, the side ratio simplifies to which ratio?
In Example 2, the side ratio simplifies to which ratio?
If and are similar with and , what is their area ratio?
If and are similar with and , what is their area ratio?
or