In Delta ABC and Delta XYZ,angle A = angle X, | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) Given that in $\Delta ABC$ and $\Delta XYZ$:$1$. $\angle A = \angle X$$2$. $\angle C = \angle Z$$3$. $AB = XY$By the Angle-Angle-Side $(AAS)$ cong

Vedclass · Accepted Answer

$XYZ$

Vedclass · Answer

(D) Given that in $\Delta ABC$ and $\Delta XYZ$:$1$. $\angle A = \angle X$$2$. $\angle C = \angle Z$$3$. $AB = XY$By the Angle-Angle-Side $(AAS)$ congruence criterion,since two angles and the included side between them are not equal,we look at the correspondence. Here,$\angle A$ corresponds to $\angle X$,$\angle C$ corresponds to $\angle Z$,and the side $AB$ corresponds to $XY$. Since $\angle A = \angle X$ and $\angle C = \angle Z$,the third angle $\angle B$ must be equal to $\angle Y$ (by Angle Sum Property).Thus,the correspondence is $A \leftrightarrow X$,$B \leftrightarrow Y$,and $C \leftrightarrow Z$.Therefore,$\Delta ABC \cong \Delta XYZ$.

In $\Delta ABC$ and $\Delta XYZ$,$\angle A = \angle X$,$\angle C = \angle Z$ and $AB = XY$,then $\Delta ABC \cong \Delta \ldots \ldots \ldots$

Similar Questions

In $\Delta PQR$,$PQ = PR$,$\angle P = x + 10^{\circ}$ and $\angle Q = 4x - 5^{\circ}$. Find each of the angles of $\Delta PQR$.

$\angle ABD$ and $\angle ACE$ are exterior angles of $\Delta ABC$. If $\angle ABD > \angle ACE$,then prove that $AC > AB$.

Prove that an angle opposite to the longest side in a scalene triangle is greater than $60^{\circ}$.

In $\Delta ABC$,$AB > BC > CA$. Write the measure of the angles of the triangle in ascending order.

Write the measures of the sides of $\Delta PQR$ in ascending order,given that $\angle P = 93^{\circ}$ and $\angle R = 55^{\circ}$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module