Theorem of Thales: 3rd grade math test to print in PDF.

A math homework assignment on Thales’ theorem in the third grade (3ème).

This math test on Thales’ theorem is intended for teachers, but also for students who want to review a math homework on Thales’ theorem. At the end of this test, you should learn new skills. Use the necessary materials to solve the exercises.

Exercise #1:

Draw a triangle ABC such that :

AB = 6 cm, AC = 4.8 cm and BC = 8.4 cm

On [BA), place the point E such that BE = 11 cm.

On [CA), place the point F such that CF = 8.8 cm.

1) Calculate AE and AF.

2) Show that (EF) // (BC).

3) Calculate the length of the segment [EF].

Exercise #2:

In the figure, the lines (AG) and (RB) are parallel. The unit of length is the centimeter.

We have: BE = 3, AE = 5, AG = 10 and EG = 8.

1) Calculate the distances RB and RE.

2) GK = 6.4 and GZ = 8 are given.

Are the lines (ZK) and (AE) parallel?

Exercise #3:

In the figure:

– The lines (MK) and (OD) are parallel;

– The points E, S, M and O are aligned in this order;

– The points F, S, K and D are aligned in this order;

– SO = 6; SD = 10; SM = 4.8; SE = 2 and SF = 3.

1) Calculate SK.

2) Are the lines (EF) and (OD) parallel?

Justify.

Exercise #4:

In the figure below, we have:

(AB) // (IJ) and (BC) // (JK) ;

OA=3 cm; OB=3.5 cm; OC=2.5 cm and CK=1 cm.

1) Calculate OJ, BJ, OI and IA.

2) Are the lines (AC) and (IK) parallel?

Justify.

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