Advertisements
Advertisements
Question
In two congruent triangles ABC and DEF, if AB = DE and BC = EF. Name the pairs of equal angles.
Advertisements
Solution
It is given that
ΔABC ≅ ΔDEF
AB = DE
BC = EF
Since, the triangles ABC and DEF are congruent, therefore,
∠A = ∠D
∠B = ∠E
∠C = ∠F
APPEARS IN
RELATED QUESTIONS
Which congruence criterion do you use in the following?
Given: ∠MLN = ∠FGH
∠NML = ∠GFH
ML = FG
So, ΔLMN ≅ ΔGFH
In Fig. 10.40, it is given that RT = TS, ∠1 = 2∠2 and ∠4 = 2∠3. Prove that ΔRBT ≅ ΔSAT.
Which of the following statements are true (T) and which are false (F):
If any two sides of a right triangle are respectively equal to two sides of other right triangle, then the two triangles are congruent.
In Δ ABC, ∠B = 35°, ∠C = 65° and the bisector of ∠BAC meets BC in P. Arrange AP, BP and CP in descending order.
ABC is an isosceles triangle in which AB = AC. BE and CF are its two medians. Show that BE = CF.
The following figure shows a circle with center O.
If OP is perpendicular to AB, prove that AP = BP.
A triangle ABC has ∠B = ∠C.
Prove that: The perpendiculars from B and C to the opposite sides are equal.
In quadrilateral ABCD, AD = BC and BD = CA.
Prove that:
(i) ∠ADB = ∠BCA
(ii) ∠DAB = ∠CBA
In ΔABC, AB = AC and the bisectors of angles B and C intersect at point O.
Prove that : (i) BO = CO
(ii) AO bisects angle BAC.
Which of the following is not a criterion for congruence of triangles?
