Advertisements
Advertisements
Question
If the given two triangles are congruent, then identify all the corresponding sides and also write the congruent angles

Advertisements
Solution
Given: ∆PQR ≅ ∆NML
(a) Corresponding angles
`bar("QR") = bar("LM"), bar("RP") = bar("LN"), bar("PQ") = bar("MN")`
(b) Corresponding angles
∠PQP = ∠NMN, ∠QRP = ∠MLN, ∠RPQ = ∠LNM
APPEARS IN
RELATED QUESTIONS
If ΔDEF ≅ ΔBCA, write the part(s) of ΔBCA that correspond to ∠E
If ΔDEF ≅ ΔBCA, write the part(s) of ΔBCA that correspond to ∠F
CDE is an equilateral triangle formed on a side CD of a square ABCD. Show that ΔADE ≅ΔBCE.
Which of the following is not a criterion for congruence of triangles?
In the given figure, AB ⊥ BE and FE ⊥ BE. If BC = DE and AB = EF, then ΔABD is congruent to

In the given figure, ABC is a triangle in which ∠B = 2∠C. D is a point on side BC such that ADbisects ∠BAC and AB = CD. BE is the bisector of ∠B. The measure of ∠BAC is

The following figure has shown a triangle ABC in which AB = AC. M is a point on AB and N is a point on AC such that BM = CN.
Prove that: (i) AM = AN (ii) ΔAMC ≅ ΔANB

The following figure shown a triangle ABC in which AB = AC. M is a point on AB and N is a point on AC such that BM = CN.
Prove that:
State, whether the pairs of triangles given in the following figures are congruent or not:

State, whether the pairs of triangles given in the following figures are congruent or not:

Prove that:
- ∆ ABD ≅ ∆ ACD
- ∠B = ∠C
- ∠ADB = ∠ADC
- ∠ADB = 90°

Prove that:
(i) ∆ ABC ≅ ∆ ADC
(ii) ∠B = ∠D

In the given figure P is a midpoint of chord AB of the circle O. prove that OP ^ AB.
In a circle with center O. If OM is perpendicular to PQ, prove that PM = QM.
AD and BE are altitudes of an isosceles triangle ABC with AC = BC. Prove that AE = BD.
In ΔABC, AB = AC, BM and Cn are perpendiculars on AC and AB respectively. Prove that BM = CN.
PQRS is a quadrilateral and T and U are points on PS and RS respectively such that PQ = RQ, ∠PQT = ∠RQU and ∠TQS = ∠UQS. Prove that QT = QU.
Given that ∆ABC ≅ ∆DEF List all the corresponding congruent angles
The top and bottom faces of a kaleidoscope are congruent.
