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प्रश्न
Prove that in an isosceles triangle the altitude from the vertex will bisect the base.
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उत्तर
Now in ΔABD and ΔADC
AB = AC
AD = AD
∠B = ∠C
Therefore, ΔABD ≅ ΔADC ...(SSA criteria)
Hence, BD = DC
Thus, AD bisects BC.
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संबंधित प्रश्न
ΔPQR and ΔABC is not congruent to ΔRPQ, then which of the following is not true:
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 triangle in each pair are marked with the same sign. Observe the figure and state the test by which the triangles in each pair are congruent.
By ______ test
ΔPRQ ≅ ΔSTU
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 following figure, OA = OC and AB = BC.
Prove that:
(i) ∠AOB = 90o
(ii) ΔAOD ≅ ΔCOD
(iii) AD = CD
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Prove that: (i) AM = AN (ii) ΔAMC ≅ ΔANB
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ΔABC;(∠B = 70°,BC = 6cm,∠C = 50°);
ΔXYZ;(∠Z = 60°,XY = 6cm,∠X = 70°).
Given that ∆ABC ≅ ∆DEF List all the corresponding congruent angles
It is given that ∆ABC ≅ ∆RPQ. Is it true to say that BC = QR? Why?
Without drawing the triangles write all six pairs of equal measures in the following pairs of congruent triangles.
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