Advertisements
Advertisements
Question
Complete the congruence statement:
ΔBCA ≅?
ΔQRS ≅?
Advertisements
Solution
Given that, BC = BT
TA = CA
BA is common.
Therefore, ΔBCA ≅ ΔBTA
Similarly, PQ = RS
TQ = QS
PT = RQ
Therefore, ΔQRS ≅ ΔTPQ
APPEARS IN
RELATED QUESTIONS
In a ΔPQR, if PQ = QR and L, M and N are the mid-points of the sides PQ, QR and RP
respectively. Prove that: LN = MN.
In a ΔABC, if AB = AC and ∠B = 70°, find ∠A.
Prove that the sum of three altitudes of a triangle is less than the sum of its sides.
In the given figure, X is a point in the interior of square ABCD. AXYZ is also a square. If DY = 3 cm and AZ = 2 cm, then BY =
In the following example, a pair of triangles is shown. Equal parts of triangle in each pair are marked with the same sign. Observe the figure and state the test by which the triangle in each pair are congruent.
By ______ test
ΔLMN ≅ ΔPTR
In the pair of triangles given below, the parts shown by identical marks are congruent. State the test and the one-to-one correspondence of vertices by which the triangles in the pair are congruent, the remaining congruent parts.
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) BN = CM (ii) ΔBMC ≅ ΔCNB
Prove that:
- ∆ ABD ≅ ∆ ACD
- ∠B = ∠C
- ∠ADB = ∠ADC
- ∠ADB = 90°
∆ABC and ∆PQR are congruent under the correspondence:
ABC ↔ RQP
Write the parts of ∆ABC that correspond to
(i) `bar"PQ"`
(ii)∠Q
(iii) `bar"RP"`
If AB = QR, BC = PR and CA = PQ, then ______.
