Ex .7.1 || Class-9. || Mathematics || NCERT.

Q.6 In Fig. 7.21, AC = AE, AB = AD and BAD = EAC. Show that BC = DE.

Q.7 AB is a line segment and P is its mid-point. D and E are points on the same side of AB such that BAD = ABE and EPA = DPB (see Fig. 7.22). Show that

(i) ΔDAP ΔEBP

(ii) AD = BE
Q.8 In right triangle ABC, right angled at C, M is the mid-point of hypotenuse AB. C is joined to M and produced to a point D such that DM = CM. Point D is joined to point B (see Fig. 7.23). Show that:

(i) ΔAMC ΔBMD

(ii) DBC is a right angle.

(iii) ΔDBC ΔACB

(iv) CM = ½ AB

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