Question

What are three valid congruency statements given the triangles below ?

Answer 1

Congruence statement states that a statement used in geometry that simply says that two objects are congruent, or have the same shape and size.

Also, we can make congruence statements in words or in symbols. When using symbols we use the congruence symbol i,e ≅ to indicate that two objects are congruent.

In the given triangles;

Angles Sides

`\angle T \cong \angle G`
`TP \cong HG`

`\angle P \cong \angle H`
`PW \cong HD`

`\angle W \cong \angle D`
`WT \cong DG`

Therefore, three valid congruency statements are;

`\triangle PTW \cong \triangle HGD`

`\triangle TWP \cong \triangle GDH`

`\triangle WPT \cong \triangle DHG`