M l aggarwal understanding icse mathematics class 7 Solutions for Chapter 12 congruence of triangles

Exercises in Chapter 12 congruence of triangles Grade 7

Congruence of Triangles Exercise 12

Questions in Congruence of Triangles Exercise 12

If ΔABC and ΔDEF are congruent under the correspondence ABC ↔ FED, write all the corresponding congruent parts of the triangles.

If ΔDEF = ΔBCA, then write the part(s) of ΔBCA that correspond to (i) ∠E (ii) EF (iii) ∠F (iv) DF

In the figure given below, the lengths of the sides of the triangles are indicated. By using SSS congruency rule, state which pairs of triangles are congruent. In the case of congruent triangles, write the result in symbolic form:

In the given figure, AB = 5 cm, AC = 5 cm, BD = 2.5 cm and CD = 2.5 cm (i) State the three pairs of equal parts in ΔADB and ΔADC (ii) Is ΔADB = ΔADC? Give reasons. (iii) Is ∠B = ∠C? Why?

Can you think of a triangle in which two altitudes of the triangle are its sides? If yes, draw a rough sketch to show such a case .

In the given figure, AB = AC and D is the mid-point of BC. (i) State the three pairs of equal parts in ΔADB and ΔADC. (ii) Is ΔADB = ΔADC? Give reasons. (iii) Is ∠B = ∠C? Why?

In the figure given below, the measures of some parts of the triangles are indicated. By using SAS rule of congruency, state which pairs of triangles are congruent. In the case of congruent triangles, write the result in symbolic form.

By applying SAS congruence rule, you want to establish that ΔPQR = ΔFED. If is given that PQ = EF and RP = DF. What additional information is needed to establish the congruence?