SEBA Class 10 Maths Revision Exercise R-5 Solutions: Congruence of Triangles | Revision Chapter
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- SEBA Class 10 Maths Chapter R-3 Solutions: Indices and Power
- SEBA Class 10 Maths Chapter R-4 Solutions: Factorisation
- SEBA Class 10 Maths Chapter R-5 Solutions: Congruence of Triangles
1. Two triangles are congruent if:
(a) Their areas are equal
(b) Their shapes are the same but sizes may differ
(c) All corresponding sides and angles are equal
(d) Only their perimeters are equal
$\mathbf{Sol^n.}$ (c) All corresponding sides and angles are equal
2. Which of the following is a valid congruency rule?
(a) AAA
(b) SSA
(c) SAS
(d) ASS
$\mathbf{Sol^n.}$
The criteria for congruence of triangles are SAS, ASA, AAS, SSS, and RHS.
So the correct option is (c) SAS
3. If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent by:
(a) ASA
(b) SAS
(c) AAS
(d) RHS
$\mathbf{Sol^n.}$ (b) SAS
4. Which congruence rule is used when two angles and the included side are equal?
(a) AAS
(b) ASA
(c) SAS
(d) RHS
$\mathbf{Sol^n.}$ (b) ASA
5. Right-angled triangles are congruent by RHS if they have equal:
(a) Hypotenuse and one acute angle
(b) Two acute angles
(c) Hypotenuse and one corresponding side
(d) All sides
$\mathbf{Sol^n.}$ (c) Hypotenuse and one corresponding side
6. AAS congruence rule means:
(a) Two angles and a side not included between them
(b) Two sides and an angle
(c) Three angles
(d) One side and one angle
$\mathbf{Sol^n.}$ (a) Two angles and a side not included between them
7. If $\angle A = \angle D$, $\angle B = \angle E$ and $AB = DE$, then $\Delta ABC \cong \Delta DEF$ by:
(a) SAS
(b) AAS
(c) ASA
(d) RHS
$\mathbf{Sol^n.}$
Here:
$\angle A = \angle D$ (Angle)
$AB = DE$ (Included Side)
$\angle B = \angle E$ (Angle)
The side $AB$ lies between $\angle A$ and $\angle B$, and side $DE$ lies between $\angle D$ and $\angle E$.
$\therefore \Delta ABC \cong \Delta DEF$ by the ASA congruence rule.
So the correct option is (c) ASA
8. In $\Delta ABC$ and $\Delta PQR$ if $AB = PQ$, $BC = QR$ and $AC = PR$, triangles are congruent by:
(a) ASA
(b) SSS
(c) SAS
(d) RHS
$\mathbf{Sol^n.}$ (b) SSS
9. The symbol ‘$\cong$‘ represents:
(a) Similarity
(b) Congruency
(c) Parallel
(d) Perpendicular
$\mathbf{Sol^n.}$ (b) Congruency
10. Congruent triangles have:
(a) Equal corresponding sides
(b) Equal corresponding angles
(c) Same shape and same size
(d) All of these
$\mathbf{Sol^n.}$
Correct option is (d) All of these