Advertisements
Advertisements
प्रश्न
State AAA similarity criterion.
उत्तर
AAA Similarity Criterion: If two triangles are equiangular, then they are similar.
In ΔABC and ΔDEF, if
`∠A=∠D`
`∠B=∠E`
`∠ C = ∠F`
Then, ΔABC ∼ Δ DEF
APPEARS IN
संबंधित प्रश्न
Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at the point O. Using similarity criterion for two triangles, show that `"OA"/"OC"="OB"/"OD"`.
In each of the following figures, you find who triangles. Indicate whether the triangles are similar. Give reasons in support of your answer.
In the given figure,
AB || DC prove that
(i) ∆DMU ∼ ∆BMV
In ∆ABC, D and E are points on sides AB and AC respectively such that AD ✕ EC = AE ✕ DB. Prove that DE || BC.
In each of the figures given below, an altitude is drawn to the hypotenuse by a right-angled triangle. The length of different line-segment are marked in each figure. Determine x, y, z in each case.
In a quadrilateral ABCD, ∠B = 90°. If AD2 = AB2 + BC2 + CD2 then prove that ∠ACD = 90°.
State SAS similarity criterion.
In the given figure, DE || BC in ∆ABC such that BC = 8 cm, AB = 6 cm and DA = 1.5 cm. Find DE.
If in two triangle ABC and DEF, ∠A = ∠E, ∠B = ∠F, then which of the following is not true?
(a)\[\frac{BC}{DF} = \frac{AC}{DE}\]
(b)\[\frac{AB}{DE} = \frac{BC}{DF}\]
(c)\[\frac{AB}{EF} = \frac{AC}{DE}\]
(d)\[\frac{BC}{DF} = \frac{AB}{EF}\]
If ∆ABC ∼ ∆DEF such that AB = 9.1 cm and DE = 6.5 cm. If the perimeter of ∆DEF is 25 cm, then the perimeter of ∆ABC is