Advertisements
Advertisements
Question
If ABC and DEF are two triangles such that ΔABC \[\cong\] ΔFDE and AB = 5cm, ∠B = 40°
Options
DF = 5cm, ∠F = 60°
DE = 5cm, ∠E = 60°
DF = 5cm, ∠E = 60°
DE = 5cm, ∠D = 40°
Advertisements
Solution
It is given that ΔABC \[\cong\] ΔFDE and AB = 5 CM . ∠B = 40 , and ∠A = 80°
So AB = FD and ∠C = ∠E
Now, in triangle ABC,
∠A +∠B +∠C = 180°
⇒ 80 + 40 + ∠C = 180°
⇒ ∠C = 60°
Therefore,
DF = 5cm, ∠E = 60°
APPEARS IN
RELATED QUESTIONS
If ΔABC ≅ ΔFED under the correspondence ABC ↔ FED, write all the Corresponding congruent parts of the triangles.
Complete the congruence statement:
ΔBCA ≅?
ΔQRS ≅?
ΔPQR and ΔABC is not congruent to ΔRPQ, then which of the following is not true:
Observe the information shown in pair of triangle given below. State the test by which the two triangles are congruent. Write the remaining congruent parts of the triangles.
From the information shown in the figure,
In ΔABC and ΔPQR
∠ABC ≅ ∠PQR
seg BC ≅ seg QR
∠ACB ≅ ∠PRQ
∴ ΔABC ≅ ΔPQR ...`square` test
∴ ∠BAC ≅ `square` ...corresponding angles of congruent triangles.
`{:("seg AB" ≅ square),("and" square ≅ "seg PR"):}}` ...corresponding sides of congruent triangles
As shown in the following figure, in ΔLMN and ΔPNM, LM = PN, LN = PM. Write the test which assures the congruence of the two triangles. Write their remaining congruent parts.
In the given figure, seg AB ≅ seg CB and seg AD ≅ seg CD. Prove that ΔABD ≅ ΔCBD.
In the following diagram, AP and BQ are equal and parallel to each other.
Prove that:
- ΔAOP ≅ ΔBOQ.
- AB and PQ bisect each other.
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 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
Two right-angled triangles ABC and ADC have the same base AC. If BC = DC, prove that AC bisects ∠BCD.
