English

Which of the Following Pairs of Triangles Are Congruent? Give Reasons δAbc;(Ab = 8cm,Bc = 6cm,∠B = 100°); δPqr;(Pq = 8cm,Rp = 5cm,∠Q = 100°). - Mathematics

Advertisements
Advertisements

Question

Which of the following pairs of triangles are congruent? Give reasons
ΔABC;(AB = 8cm,BC = 6cm,∠B = 100°);
ΔPQR;(PQ = 8cm,RP = 5cm,∠Q = 100°).

Sum

Solution



In ΔABC and ΔPQR
AB = PQ
∠B = ∠Q =
BC can be equal to QR or AC can be equal to RP
Therefore,
ΔABC can be congruent to ΔPQR.

shaalaa.com
  Is there an error in this question or solution?
Chapter 11: Triangles and their congruency - Exercise 11.2

APPEARS IN

Frank Mathematics [English] Class 9 ICSE
Chapter 11 Triangles and their congruency
Exercise 11.2 | Q 1.2

RELATED QUESTIONS

In triangles ABC and PQR, if ∠A = ∠R, ∠B = ∠P and AB = RP, then which one of the following congruence conditions applies:


In the given figure, if AC is bisector of ∠BAD such that AB = 3 cm and AC =  5 cm, then CD =


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 =


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


In the pair of triangles in the following figure, parts bearing identical marks are congruent. State the test and the correspondence of vertices by the triangle in pairs is congruent.


In the pair of triangles in the following figure, parts bearing identical marks are congruent. State the test and the correspondence of vertices by the triangle in pairs is congruent.


Prove that:
(i) ∆ ABC ≅ ∆ ADC
(ii) ∠B = ∠D
(iii) AC bisects angle DCB


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


A is any point in the angle PQR such that the perpendiculars drawn from A on PQ and QR are equal. Prove that ∠AQP = ∠AQR.


In the figure, ∠BCD = ∠ADC and ∠ACB =∠BDA. Prove that AD = BC and ∠A = ∠B.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×