cykopath
22.04.2020 •
Mathematics
Solve the system
9x+18y=-126
6y+3x=-42
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Ответ:
Triangle ΔPYX is congruent to triangle ΔYQZ by Angle-Angle-Side condition of congruency
Step-by-step explanation:
The given
Statement
Reason
PQR is a triangle
Given
XYZR is a parallelogram
Given
X is the midpoint of RP
Given
Y is the midpoint of PQ
Given
Z is the midpoint of QR
Given
Therefore;
QY = YP, Definition of midpoint
XY is parallel to QR, and YZ is parallel to RP Midpoint theorem
Therefore, ∠PYX ≅ ∠PQR and ∠QZY ≅ ∠YXP Corresponding angles of parallel lines
From which we have;
Triangle ΔPYX is congruent to triangle ΔYQZ by Angle-Angle-Side condition of congruency.