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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