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Mathematics

Grade9

Easy

Question

Consider the following similar figures. Which of the following is not true?

$∠ J = ∠ T, ∠ U = ∠ K$
JK corresponds to TU
VU corresponds to LK
$\frac{T U}{J K} = \frac{T V}{L K}$

hint Hint:

If two triangles are similar, then the ratio of corresponding sides is equal to the ratio of the angle bisectors, altitudes, and medians of the two triangles.

The correct answer is: $fraction numerator T U over denominator J K end fraction equals fraction numerator T V over denominator L K end fraction$

Consider the figure which is similar.
By AA similarity, ΔTUV ~ ΔJKL
$fraction numerator T U over denominator J K end fraction equals fraction numerator T V over denominator J L end fraction$ ( ratio of corresponding sides are equal)
So, option D is not correct.

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