Triangles and Ratios (Leaving Cert Mathematics): Quizzes

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Triangles and Ratios
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In any triangle, which side is opposite the largest angle?

The longest side

In any triangle, the smallest angle is opposite which side?

The shortest side

If side ABAB is longer than side ACAC in a triangle, what can we conclude about the opposite angles?

Angle opposite ABAB > angle opposite ACAC

If angle AA is larger than angle BB in a triangle, how do their opposite sides compare?

Side opposite AA is longer

What does the triangle inequality theorem state?

Two sides together > third side

Can three lengths of 3 cm, 4 cm, and 8 cm form a triangle?

No, 3+4 is not > 8

What is a transversal?

A line intersecting two or more lines

Three parallel lines cut equal segments on one transversal. What happens on other transversals?

They also cut equal segments

A line parallel to one side of a triangle divides the other two sides in what way?

In the same ratio

What are similar triangles?

Same shape, different sizes

In similar triangles ABCABC and DEFDEF, how are corresponding sides related?

∣AB∣∣DE∣=∣BC∣∣EF∣\frac{|AB|}{|DE|} = \frac{|BC|}{|EF|}

What is sufficient to prove two triangles are similar?

Two angles in one equal two in other

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