Flash Cards: Triangles
Triangles - Flash Cards
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What are similar figures?
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Two figures are similar if they have the same shape but not necessarily the same size.
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2/20
How do congruence and similarity differ?
2/20
All congruent figures are similar (same shape & size), but similar figures are not necessarily congruent.
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3/20
What is the criterion for triangle similarity?
3/20
Two triangles are similar if their corresponding angles are equal and their corresponding sides are in the same ratio.
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4/20
What does the Basic Proportionality Theorem state?
4/20
If a line is drawn parallel to one side of a triangle, it divides the other two sides in the same ratio.
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What does Theorem 6.2 state?
5/20
If a line divides two sides of a triangle in the same ratio, it is parallel to the third side.
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What is the AA criterion?
6/20
If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.
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What does the SSS criterion state?
7/20
If the corresponding sides of two triangles are in the same ratio, then the triangles are similar.
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What is the SAS criterion for similarity?
8/20
If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, then the triangles are similar.
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What defines congruent triangles?
9/20
Two triangles are congruent if they have the same shape and size.
10/20
What is a scalene triangle?
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A triangle with all sides of different lengths.
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What is an isosceles triangle?
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A triangle with at least two sides of equal length.
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What defines an equilateral triangle?
12/20
A triangle in which all three sides are of equal length.
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What does the Pythagorean Theorem state?
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In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
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How is the area of a triangle calculated?
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Area = 1/2 × base × height.
15/20
How do similar triangles help in shadow problems?
15/20
The triangles formed by the object, its height, and its shadow are similar, allowing for indirect measurement.
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What is a criterion for similarity of polygons?
16/20
Two polygons of the same number of sides are similar if their corresponding angles are equal and sides are in the same ratio.
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What is a scale factor in similar figures?
17/20
The ratio of the lengths of corresponding sides of similar figures.
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What is indirect measurement?
18/20
Finding distances or heights using the relationships of similar triangles without direct measurement.
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What are corresponding parts?
19/20
In similar triangles, corresponding angles are equal and corresponding sides are proportional.
20/20
What is a common mistake in triangle similarity?
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Forgetting to check that corresponding sides are in the same ratio when determining similarity.
