Question

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Answer 1

Here is your answer -

1. In triangle XPY and triangle XQZ, we have

XY = XZ (given)
YP = QZ (given)
and /_XPY = /_XQZ ( angel opposite to equal. side are equal )

so by SAS rule,
triangle XPY congruent to triangle XQZ
therefore,

XP = XQ ( CPCT)

2. AL = 6 cm
and BL = DM
so in triangle BAL and triangle DCM,

DM = BL ( given )
angle BAL = angle DCM ( given)
and, angle BLA = angle DMC
so by ASA rule,

BAL congruent to DCM
therefore AL = CM ( CPCT)
so, CM = 6cm
:. CM + AL = LM
6 + 6 = 12
so, LM = 12cm

3. angle A = angle P
and angle C = angle R

4. Two rectangles are congruent if they have same size and same shape

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