If Triangle D K L is congruent to triangle P V X, which of the following statements must also be true? Check all that apply.
Triangle L K D is congruent to triangle X V P
Triangle V P X is congruent to triangle K D L
Triangle V P X is congruent to triangle D L K
Angle D is congruent to angle P
Segment D L is congruent to segment P V
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Answers & Comments
Given :- Triangle DKL is congruent to Triangle PVX
To find :- (a) Triangle LKD is congruent to triangle XVP
(b) Triangle VPX is congruent to triangle KDL
(c) Triangle VPX is congruent to triangle DLK
(d) Angle D is congruent to angle P
(e) Segment DL is congruent to segment PV
Solution :-
We know that when two triangles are congruent
According to CPCT [ Corresponding Parts of Congruent Triangle]
the corresponding parts are also congruent keeping in mind the vertices and the segments are in same comparison as given in the congruent triangles.
(a) Triangle LKD is congruent to Triangle XVP.
(b) Triangle VPX is congruent to Triangle KDL.
(c) Triangle VPX is not congruent to Triangle DLK ( as according to CPCT, V vertex is not congruent to D, P vertex is not congruent to L and X vertex is not congruent to K.)
(d) Angle D is congruent to angle P.
(e) Segment DL is not congruent to Segment PV ( as according to CPCT, Segment DL is congruent to PX and not PV.)
Answer: sence triangle dkl is congruent to triangle pvx the following statement must be triangle cpx is congruent to triangle dlk
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Explanation: