If two sides and one angle of one triangle are equal to two sides and one angle of another triangle, then the triangle are congruent.
Question types
Congruence of Triangles question types
34 questions across 3 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.
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3
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Sample Questions
Congruence of Triangles questions
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If three angles of two triangles are equal, then triangles are congruent.
If two legs of one right triangle are equal to two legs of another right angle triangle, then the two triangles are congruent by SAS rule.
Two equilateral triangles having equal perimeters are congruent.
All equilateral triangles are congruent.
If ∆DEF = ∆SRT, then the correspondence between vertices is ……….
If two triangles ABC and PQR are congruent under the correspondence A ↔ R, B ↔ P and C ↔ Q, then in symbolic form it can be written as ∆ABC = ………
The side QR of ∆PQR is included between angles ……….
The side included between ∠M and ∠N of ∆MNP is ……….
When we write ∠A = ∠B, we actually mean ………
In the given figure, ∆ABC = ∆PQR. The values of x and y are :
- Ax = 63, y = 35
- Bx = 77, y = 35
- Cx = 35, y = 77
- Dx = 63, y = 40
The two triangles shown in the given figure are :
- Acongruent by AAS rule
- Bcongruent by ASA rule
- Ccongruent by SAS rule
- Dnot congruent.
In the given figure, ∆ABC and ∆DBC are on the same base BC. If AB = DC and AC = DB, then which of the following statement is correct?
- A∆ABC = ∆DBC
- B∆ABC = ∆CBD
- C∆ABC = ∆DCB
- D∆ABC = ∆BCD
In the given figure, ∆PQR = ∆STU. What is the length of TU ?
- A5 cm
- B6 cm
- C7 cm
- Dcannot be determined
In the given figure, M is the mid-point of both AC and BD. Then
- A∠1 = ∠2
- B∠1 = ∠4
- C∠2 = ∠4
- D∠1 = ∠3
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