Question

question prove $overline{hi}congoverline{xw}$ by filling out the flowchart below. for each box, choose a statement format from the dropdown menu. you will then be able to change the letters to match the diagram for this problem.

Explanation:

Step1: Identify congruent angles

$\angle V \cong \angle I$, $\angle X \cong \angle H$ (Given markings on the triangles)

Step2: Identify congruent side

$VX\cong HI$ (Given markings on the triangles)

Step3: Apply ASA (Angle - Side - Angle) congruence

$\triangle VXW\cong\triangle IHJ$ (By ASA congruence criterion since we have two pairs of congruent angles and the included side congruent)

Step4: Use CPCTC (Corresponding Parts of Congruent Triangles are Congruent)

$HI\cong XV$ (Since $\triangle VXW\cong\triangle IHJ$, corresponding sides are congruent)

Answer:

$HI\cong XV$