$$\(P Q R\)$$ is a triangle. $$\(T\)$$ is a point on $$\(P R\)$$ and $$\(U\)$$ is a point on $$\(P Q\)$$. $$\(R Q\)$$ is parallel to $$\(T U\)$$. Explain why triangle $$\(P Q R\)$$ is similar to triangle $$\(P U T\)$$. Give a reason for each statement you make. ......................................................................................................................................... . ......................................................................................................................................... . ......................................................................................................................................... . .........................................................................................................................................

Mathematics
IGCSE&ALevel
CAIE
Exam No:0580_w20_qp_43 Year:2020 Question No:5(b)(i)

Answer:

Angle \(P T U=\) angle \(P R Q\) corresponding Angle \(P U T=\) angle \(P Q R\) corresponding Angle \(R P Q\) is common oe
Corresponding angles are equal oe

Knowledge points:

E4.1.1 Use and interpret the geometrical terms: point, line, parallel, bearing, right angle, acute, obtuse and reflex angles, perpendicular, similarity and congruence.
E4.1.2 Use and interpret vocabulary of triangles, quadrilaterals, circles, polygons and simple solid figures including nets.

Solution:

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