If XY=YZ and angle Y measures 90 degrees in the figure above, which of the following CANNOT be concluded?
Detailed Explanation
If XY=YZ and angle Y measures 90 degrees, then the triangle XYZ is a right isosceles triangle. This means that all three sides of the triangle are congruent and that angle Y is a right angle.
Therefore, we can conclude that:
XZ is congruent to XY and YZ
a+b=90
a=b
However, we cannot conclude that XZ is less than XY.
Therefore, we can conclude that:
XZ is congruent to XY and YZ
a+b=90
a=b
However, we cannot conclude that XZ is less than XY.
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