Congruence, Similarity & Geometrical Proof (WJEC Eduqas GCSE Maths: Higher): Flashcards
Exam code: C300
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Define the term congruent.
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Cards in this collection (12)
Define the term congruent.
Two shapes are congruent if they are identical in shape and size.
True or False?
If one shape is an enlargement of the other, then they are congruent.
False.
If one shape is an enlargement of the other, then they are not identical in size and so are not congruent.
True or False?
You need to show that two shapes are facing in the same direction to prove congruence.
False.
If the two shapes are identical in terms of shape and size then it does not matter which direction they are facing in.
What are congruent triangles?
Two triangles are congruent if they are the same size and shape, although they may be reflections, translations, or rotations of each other.
How many corresponding parts in a triangle need to be shown as equal to prove congruence?
Only three of the six corresponding parts (sides or angles) of a triangle need to be shown to be the same to prove congruence.
However, these must be the right three parts.
What does SAS stand for in congruence tests?
SAS stands for Side, Angle, Side.
If two sides and the angle between them can be shown to be the same, then the triangles are congruent.
True or False?
You may need to use facts from topics including parallel lines, symmetry, isosceles triangles, and circle theorems when proving congruence.
True.
You may need to use facts from topics including parallel lines, symmetry, isosceles triangles, and circle theorems when proving congruence.
What does ASA stand for in congruence tests?
ASA stands for Angle, Side, Angle.
If two angles and the side between them can be shown to be the same, then the triangles are congruent.
True or False?
SSA can be used to prove congruence.
False.
SSA can not be used to prove congruence.
Explain the RHS congruence test.
RHS stands for Right angle, Hypotenuse, Side.
Two right-angled triangles can be shown to be congruent if their hypotenuses and one other side can be shown to be the same.
True or false?
SSS can be used to prove congruence.
True.
SSS can be used to prove congruence.
How many standard tests are there to prove congruence?
The five standard tests used to prove congruence are:
SSS (side, side, side)
SAS (side, angle, side)
ASA (angle, side, angle)
AAS (angle, angle, side)
RHS (right-angle, hypotenuse, side)
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