In pair of triangle in the following figure, parts bearing identical marks are congruent. State the test and correspondence if vertices by which triangle in each pair are congruent.

Open in App

Solution

In $Δ K J I$ and $Δ I J L$
$I K = I L I J = I J ∠ K J I = ∠ L J I = 90$
So by $R H S$ criteria
The triangles are congruent.

Suggest Corrections

Similar questions

In each pair of triangles in the following figures, parts bearing indentical marks are congruent. State the test and correspondence of vertices by which triangles in each pair are congruent.
(i)

(ii)

(iii)

(iv)

(v)

Q. In each pair of triangles given below, parts shown by identical marks are congruent. State the test and the one to one correspondence of vertices by which triangles in each pair are congruent and remaining congruent parts.
(1)

(2)

(3)

Q. In the figures given below, some congruent parts are indicated by identical marks.
(1) Write the test of congruence by which the pairs of triangle in each figure is congruent.
(2) Write proper correspondence between the vertices of triangle while writing the names of triangle.
(3) Also write the remaining congruent parts of the congruent triangle.

(i)

Q. In each of the example given, a pair of triangles is shown. Equal parts of triangles in each pair are marked with the same signs. Observe the figures and state the test by which the triangles in each pair are congruent.

Q. In the example given, a pair of triangles is shown. Equal parts of triangles in pairs are marked with the same signs. Observe the figures and state the test by which the triangles in pair are congruent.

Join BYJU'S Learning Program

In pair of triangle in the following figure, parts bearing identical marks are congruent. State the test and correspondence if vertices by which triangle in each pair are congruent.

In ΔKJI and ΔIJLIK=ILIJ=IJ∠KJI=∠LJI=90So by RHS criteria The triangles are congruent.

In $Δ K J I$ and $Δ I J L$
$I K = I L I J = I J ∠ K J I = ∠ L J I = 90$
So by $R H S$ criteria
The triangles are congruent.