Advertisements
Advertisements
Question
In the following example, a pair of triangles is shown. Equal parts of triangle in each pair are marked with the same sign. Observe the figure and state the test by which the triangle in each pair are congruent.

By ______ test
ΔXYZ ≅ ΔLMN
Advertisements
Solution
By SAS Test
APPEARS IN
RELATED QUESTIONS
If ΔABC ≅ ΔFED under the correspondence ABC ↔ FED, write all the Corresponding congruent parts of the triangles.
If ΔDEF ≅ ΔBCA, write the part(s) of ΔBCA that correspond to ∠E
If ΔDEF ≅ ΔBCA, write the part(s) of ΔBCA that correspond to ∠F
In a squared sheet, draw two triangles of equal areas such that
The triangles are not congruent.
What can you say about their perimeters?
In a ΔPQR, if PQ = QR and L, M and N are the mid-points of the sides PQ, QR and RP
respectively. Prove that: LN = MN.
In a ΔABC, if AB = AC and ∠B = 70°, find ∠A.
Find the measure of each angle of an equilateral triangle.
Prove that the sum of three altitudes of a triangle is less than the sum of its sides.
Mark the correct alternative in each of the following:
If ABC ≅ ΔLKM, then side of ΔLKM equal to side AC of ΔABC is
Which of the following is not a criterion for congruence of triangles?
In the given figure, AB ⊥ BE and FE ⊥ BE. If BC = DE and AB = EF, then ΔABD is congruent to

In the given figure, if AE || DC and AB = AC, the value of ∠ABD is

In the following example, a pair of triangles is shown. Equal parts of triangles in each pair are marked with the same sign. Observe the figure and state the test by which the triangle in each pair are congruent.

By ______ test
Δ ABC ≅ ΔPQR
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.

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

ABCD is a quadrilateral in which AB = BC and AD = CD. Show that BD bisects both the angles ABC and ADC.
The congruent figures super impose each other completely.
Two figures are congruent, if they have the same shape.
Without drawing the triangles write all six pairs of equal measures in the following pairs of congruent triangles.
∆STU ≅ ∆DEF
