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Higher June 2017 Unit 1 Q14

WJECHigherCurrent spec3 marksSimilar Shapes

14. SSS, SAS, ASA and RHS are notations used to describe the conditions required to prove that two triangles are congruent.
[S ≡ Side, A ≡ Angle, R ≡ Right angle and H ≡ Hypotenuse.]

The following triangles are not drawn to scale.
For each pair of triangles, circle the correct statement.

(a) [1]
Two triangles, each with angles 56°, 64° and 60° and no lengths given
congruent:
SSS		congruent:
SAS		congruent:
ASA		congruent:
RHS		definitely
not congruent		not necessarily
congruent
(b) [1]
First triangle: angles 56° and 64° with the 7·8 cm side between them; second triangle: angles 60° and 64° with a 7·8 cm side adjacent to the 60° angle
congruent:
SSS		congruent:
SAS		congruent:
ASA		congruent:
RHS		definitely
not congruent		not necessarily
congruent
(c) [1]
First triangle: sides 7·8 cm and 7·2 cm with the 64° angle between them; second triangle: sides 7·2 cm and 7·8 cm with the 64° angle between them
congruent:
SSS		congruent:
SAS		congruent:
ASA		congruent:
RHS		definitely
not congruent		not necessarily
congruent
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