Question types

Congruence question types

39 questions across 3 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

39
Questions
3
Question groups
5
Question types
Sample Questions

Congruence questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Which of the following statements are true and which of them are false?
If the hypotenuse of a right triangle is equal to the hypotenuse of another right triangle then the triangles are congruent.
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Q 62 Mark Question2 Marks
State the correspondence between the vertices, sides and angles of the following pairs of congruent triangles.
$\triangle\text{ABC}\cong\triangle\text{EFD}$
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Q 113 Mark Question3 Marks
In the given figure, triangles ABC and DCB are right angled at A and D respectively and AC = DB Prove that $\triangle\text{ABC}\cong\triangle\text{DCB.}$
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Q 123 Mark Question3 Marks
In fig. (i) $\text{PL}\bot\text{OA}$ and $\text{PM}\bot\text{OB}$ such that $\text{PL}=\text{PM}$. Is $\triangle\text{PLO}\cong\triangle\text{PMO}?$ Give reason in support of your answer.
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Q 133 Mark Question3 Marks
In the adjoining figure, $\triangle\text{ABC}$ is an isosceles triangle in which AB = AC. If E and F be the midpoints of AC and AB respectively, prove that BE = CF.
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Q 143 Mark Question3 Marks
If two triangles have their corresponding angles equal, are they always congruent? If not, draw two triangles which are not congruent but which have their corresponding angles equal.
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