The only correct statements in relation to the given triangle are;
JK = 2VW
UV ║ JL
- 1) UW = VW; This is not correct because we see that UW forms a parallel line to KV but there is nothing to show about it being equal to VW.
- 2) UV = UK; This is not correct because there is no sign of them being congruent to each other.
- 3) JK = 2VW; We see that UKVW forms a rhombus. This means that parallel sides are equal. Thus; UK = VW.
Since UK is equal to UJ from the triangle, then;
2UK = JK
Since UK = VW, then; 2VW = JK. Thus, the statement is true.
- 4) UW = 12KL; This is not correct because UW = KV = KL/2 from the diagram.
- 5) UV ║ JL; This statement is correct because from the diagram UV is a side of the parallelogram UVLW with UV parallel to WL since opposite sides of a parallelogram are equal.
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