Advertisements
Advertisements
Question
State, whether the pairs of triangles given in the following figures are congruent or not:
Δ ABC in which AB = 2 cm, BC = 3.5 cm and ∠C = 80° and Δ DEF in which DE = 2 cm, DF = 3.5 cm and ∠D = 80°.
Advertisements
Solution
In Δ ABC, AB = 2 cm, BC = 3.5 cm and ∠C = 80° and in ∆ DEF, DE = 2 cm, DF = 3.5 cm and ∠D = 80°
From the figure, we see that two corresponding sides are equal but their included angles are not equal.
Hence, these are not congruent triangles
APPEARS IN
RELATED QUESTIONS
In an isosceles triangle, if the vertex angle is twice the sum of the base angles, then the measure of vertex angle of the triangle is
In the given figure, if AC is bisector of ∠BAD such that AB = 3 cm and AC = 5 cm, then CD =
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:
- ∆ ABD ≅ ∆ ACD
- ∠B = ∠C
- ∠ADB = ∠ADC
- ∠ADB = 90°
In the given figure, prove that:
(i) ∆ ACB ≅ ∆ ECD
(ii) AB = ED
O is any point in the ΔABC such that the perpendicular drawn from O on AB and AC are equal. Prove that OA is the bisector of ∠BAC.
Which of the following rule is not sufficient to verify the congruency of two triangles
In triangles ABC and PQR, ∠A = ∠Q and ∠B = ∠R. Which side of ∆PQR should be equal to side AB of ∆ABC so that the two triangles are congruent? Give reason for your answer.
The top and bottom faces of a kaleidoscope are congruent.
Without drawing the triangles write all six pairs of equal measures in the following pairs of congruent triangles.
∆YZX ≅ ∆PQR
