Flashcards on Congruence and Similarity of Triangles
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What is congruence of triangles?
Congruence of triangles means that two triangles are exactly the same in shape and size.
What is similarity of triangles?
Similarity of triangles means that two triangles have the same shape but different sizes.
How can you prove that two triangles are congruent?
Two triangles can be proven congruent if their corresponding sides and angles are equal.
How can you prove that two triangles are similar?
Two triangles can be proven similar if their corresponding angles are equal.
What is the congruence criteria for triangles?
The congruence criteria for triangles are SSS (side-side-side), SAS (side-angle-side), ASA (angle-side-angle), and AAS (angle-angle-side).
What is the similarity criteria for triangles?
The similarity criteria for triangles are AA (angle-angle), SAS (side-angle-side), and SSS (side-side-side).
What is the Pythagorean theorem?
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
What is the ratio of the areas of similar triangles?
The ratio of the areas of similar triangles is equal to the square of the ratio of their corresponding sides.
What is the ratio of the perimeters of similar triangles?
The ratio of the perimeters of similar triangles is equal to the ratio of their corresponding sides.
What is the sum of the angles in a triangle?
The sum of the angles in a triangle is always 180 degrees.
Which criterion can be used to prove two triangles similar if two sides and the included angle of one triangle are in the same proportion as the corresponding sides and the included angle of the other triangle?
What is the criteria for congruent triangles if two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle?
Which criterions can be used to prove two triangles congruent if two sides and the included angle of one triangle are equal to the corresponding sides and the included angle of the other triangle?
If two triangles are congruent, which parts of the triangles are equal?
In similar triangles, what is the ratio of their corresponding sides?
What is the angle sum of two similar triangles?
What is the ratio of the areas of two similar triangles if their corresponding sides are in the ratio 3:5?
If two triangles are similar, what can be said about their corresponding angles?
What is the relationship between the angles of similar triangles?
What is the ratio of the perimeters of two similar triangles if their corresponding sides are in the ratio 4:7?
If two triangles are similar, what can be said about the lengths of their corresponding sides?