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

Advertisements
Solution
In these triangles, corresponding two sides are equal but included angles are not-equal. Hence these are not congruent triangles.
APPEARS IN
RELATED QUESTIONS
In Fig. 10.22, the sides BA and CA have been produced such that: BA = AD and CA = AE.
Prove that segment DE || BC.
In a ΔABC, if AB = AC and ∠B = 70°, find ∠A.
Mark the correct alternative in each of the following:
If ABC ≅ ΔLKM, then side of ΔLKM equal to side AC of ΔABC is
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 ΔPTQ and ΔSTR
seg PT ≅ seg ST
∠PTQ ≅ ∠STR ...[Vertically opposite angles]
∴ ΔPTQ ≅ ΔSTR ...`square` test
∴ `{:("∠TPQ" ≅ square),("and" square ≅ "∠TRS"):}}` ...corresponding angles of congruent triangles
seg PQ ≅ `square` ...corresponding sides of congruent triangles
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: ΔAMC≅ ΔANB

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

In the given figure, prove that:
(i) ∆ ACB ≅ ∆ ECD
(ii) AB = ED

In the figure, AP and BQ are perpendiculars to the line segment AB and AP = BQ. Prove that O is the mid-point of the line segments AB and PQ.
Prove that in an isosceles triangle the altitude from the vertex will bisect the base.
