Question

State the correspondence between the sides and angels of the following congruent triangles.
a) $\Delta PQR\cong \Delta XYZ$
b) $\Delta ABC\cong \Delta TUV$

Answer 1

(a) Given that, $△PQR\text{is congruent to}△XYZ$

Therefore,

• Congruent sides: $PQ=XY,QR=YZ\text{and}PR=XZ$
• Congruent angles: $\angle QPR=\angle YXZ,\angle PQR=\angle XYZ\text{and}\angle PRQ=\angle XZY$

(b) Given that $△ABC\text{is congruent to}△TUV$

Therefore,

• Congruent sides: $AB=TU,BC=UV\text{and}AC=TV$
• Congruent angles: $\angle BAC=\angle UTV,\angle ABC=\angle TUV\text{and}\angle BCA=\angle UVT$