Mathematics
Grade9
Easy
Question
The true statement among the following is__(Remember, order matters)
Hint:
If any two sides and angle included between the sides of one triangle are equivalent to the corresponding two sides and the angle between the sides of the second triangle, then the two triangles are said to be congruent by SAS rule. Also, check the order of Congruence to match with diagram and property.
The correct answer is:
Given, As per diagram
XJ = KJ(the given notation in diagram indicates both sides are equal.)
∠XJW = ∠KJL (vertically opposite angles )
JW = JL( the given notation in diagram indicates both sides are equal.)
Here two sides and angle included between the sides of one triangle are equivalent to the corresponding two sides and the angle between the sides of the second triangle.
By SAS rule,
ΔXJW≅ ΔKJL (Here, The order of equal sides and angles must coincide with order of ΔXJW≅ ΔKJL)
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