sommaire
In this math test, the student will need to be focused and alert.
The circumscribed circle must be constructed with a ruler and compass. Using the properties of the course and the median from the right angle in a right triangle remains paramount. Read the entire statement to get a clear understanding.
D.S : right triangle and circumscribed circle.
Exercise 1 : 5 pts ”Demonstrate
Let C be a circle with center O and diameter 12 cm.
Let be the segments [AB]and [DC], two of its diameters.
- Show that ADB is a right triangle (to be justified correctly).
2. What is the length of the median [OD] (to be justified correctly).
Exercise 2: 5 pts.
Calculate the length AC, then EC.
Round the result to the hundredth
.
Exercise 3 : 5 pts right-angled triangle
Draw a segment [AB] of 13 cm length.
Draw the circle(C1 ) of diameter [AB] and place a point M on the circle(C1 ) such that BM = 5 cm.
1) Make the figure and complete it afterwards.
2) Show that the triangle MAB is rectangular.
3) Calculate MA.
4) On the segment [AB], place the point I such that AI = 5.2 cm.
The circle(C2 ) of diameter [AI] cuts [AM] in J.
a) Show that the lines (IJ) and (MB) are parallel.
Exercise 4: 5 pts.
John has to send a letter by mail.
Can he send this rectangular letter without folding it?
Cette publication est également disponible en :
Français (French)
العربية (Arabic)