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katii54feliz
27.09.2019 •
Mathematics
Use a paragraph, flow chart, or two-column proof to prove that is the perpendicular bisector of side . given: wzx yzx; prove: is a perpendicular bisector of [see image]
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Ответ:
∠wzx = ∠yzx given
wz = zy given
zx = zx this is common for both triangles
2 sides and angle between the 2 sides are congruent to the 2 sides and angle in the other triangle. according to side angle side (sas) congruency theorem;
δwzx ≡δyzx
this means that all three sides and all three angles are congruent to three sides and three angles of the other triangle.
then ∠wxz = ∠yxz and wx = xy
lets name one angle as x
since both angles are equal , both are x
x + x = 180°
x = 90°
therefore zx cuts wy at x making 2 right angles and cuts wy at the midpoint of wy. therefore zx is the perpendicular bisector of wy
Ответ:
the blue and the pink
Step-by-step explanation: