Question

in figure, seg PS intersects seg TK in the point R.< T and <K are the right angles .state whether triangle PTR and Triangle SKR are similar . if yes, by which test ?​

Answer 1

Yes, by AA similarity postulate

Step-by-step explanation:

Given:

$\angle T=90^{\circ}$

$\angle K=90^{\circ}$

In triangle PRT and triangle SKR

$\angle T=\angle K=90^{\circ}$

Reason: Given

$\angle PRT=\angle SRK$

Reason: Vertical opposite angles are equal

$\triangle$ PTR$\sim \triangle$SKR

Reason: AA Similarity postulate

When two angles of one triangle are equal to two angles of other  triangle then, two triangles are similar by AA similarity postulate

Yes, by AA similarity postulate

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Answer 2

Answer:

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