Advertisements
Advertisements
Question
Without drawing the triangles write all six pairs of equal measures in the following pairs of congruent triangles.
∆ABC ≅ ∆LMN
Advertisements
Solution
We know that, corresponding parts of congruent triangles are equal.
∠A = ∠L, ∠B = ∠M and ∠C = ∠N
AB = LM, BC = MN and AC = LN
APPEARS IN
RELATED QUESTIONS
In triangles ABC and PQR, if ∠A = ∠R, ∠B = ∠P and AB = RP, then which one of the following congruence conditions applies:
From the information shown in the figure, state the test assuring the congruence of ΔABC and ΔPQR. Write the remaining congruent parts of the triangles.

If the following pair of the triangle is congruent? state the condition of congruency :
In ΔABC and ΔDEF, ∠B = ∠E = 90o; AC = DF and BC = EF.
On the sides AB and AC of triangle ABC, equilateral triangle ABD and ACE are drawn. Prove that:
- ∠CAD = ∠BAE
- CD = BE
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

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

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

ΔABC is isosceles with AB = AC. BD and CE are two medians of the triangle. Prove that BD = CE.
ABCD is a quadrilateral in which AB = BC and AD = CD. Show that BD bisects both the angles ABC and ADC.
If ∆PQR is congruent to ∆STU (see figure), then what is the length of TU?

