A ladder 17 m long reaches a window which is 8m above the ground on one side of street. Keeping its foot at the same point, the ladder is turned to the other side of the street to reach a window at a height of 15 m. Find the width of street.

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(a)

Look at the adjoining figure. Can you use ASA congruence rule and conclude that ΔAOC ≅ ΔBOD?

5

(a)

If ΔABC ≅ ΔMNR, then find the value  of (2x+3y), where x and y shown in the following figures.

5

(a)

Which of the following pair of figures are congruent?

5

(a)

Which of the following pair of figures are congruent?

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(a)

In the adjacent figure, ABC is a triangle and BD, CE are perpendicular to AC and AB respectively. If BD = CE, find the three pairs of corresponding parts, which make ΔBCD ≅ ΔCBE by RHS congruence criterion.

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(a)

A chocolate is in the form of a quadrilateral with sides 6 cm, 10 cm, 5 cm and 5 cm. It is cut into two parts along one of its diagonals by a lady. Part I is given to her maid and part II is equally divided among her driver and maid.
Use congruence of triangle rule and cheek is this distribution fair or not.

5

(a)

State which of the following pairs of triangles are congruent? If yes, write them in symbolic form (you may draw a rough figure).
ΔPQR : PQ = 3.5 cm, QR = 4.0 cm, ㄥQ = 60⁰ ΔSTU : ST =3.5 cm, TU = 4 cm; ㄥT = 60⁰

5

(a)

State which of the following pairs of triangles are congruent? If yes, write them in symbolic form (you may draw a rough figure).
ΔABC : AB = 3.5 cm, , ㄥA = 90⁰ , AC = 6.8 cm. ΔXYZ : YZ =6.8 cm, ㄥX = 90⁰ , ZX = 4.8 cm

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(a)

In the given figure, ray AZ biscets ㄥDAB as well as ㄥDCB.
(i) State the three pairs of equal parts in ΔBAC and ΔDAC
(ii) Is ΔBAC ≅ ΔDAC? Give reasons.
(iii) Is AB = AD? Justify your answer
(iv) Is CD = CB? Give reasons.

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(a)