Use congruence properties to prove that two triangles are congruent

Sometimes it is possible to conclude that two triangles are congruent without having to show that three pairs of corresponding angles are congruent and three pairs of corresponding sides are congruent

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QUESTION OF
Views #: 19
Questions #: 8
Time: 5 minutes
Pass Score: 80.0%
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If three sides of one triangle are congruent to three sides of a second triangle, the triangles are congruent

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Explanation

If two sides and the angle between them in one triangle are congruent, respectively, to two sides and the angle between them in a second triangle, the triangles are congruent.

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If two angles and the side between them in one triangle are congruent, respectively, to two angles and the side between them in a second triangle, the triangles are congruent.

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If two sides and an angle of △ABC are congruent to two sides and angle of △DEF, this makes the two triangles congruent

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The following triangles are congruent because both show

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The following triangles are congruent because both show

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What is the property you can use to prove that both △RST and △RUT are congruent?

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What is the most obvious property you can use to prove that both △QRT and △SRT are congruent?

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Use the ticks and the shared side to drive your answer.
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Explanation

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0
sin cos tan
sin-1 cos-1 tan-1 π e
xy x3 x2 ex 10x
y√x 3√x √x ln log
( ) 1/x % n!
7 8 9 + MS
4 5 6 – M+
1 2 3 × M-
0 . EXP ÷ MR
± RND C = MC
Keywords
Year 8