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Kafarrouman Second Intermediate School Math Test (4) Name: Group (A) Teacher: Zeinab Kassem – Ali Dia Ex.1: (4 points) 1) Perform and simplify the following numbers: 2 A = (√2 + 2√3) B= √112 − (√(−7)2 + √63) C = √36 + 64 − √36 − √64 + 2√52 − 3 × 7 2) Solve each of the following equations: a) ( − 10)2 = 144 b) 3 2 = 0.75 × 10−6 Ex.2: (3 points) Let ABCD be a parallelogram, I is the midpoint of [BC] and E the symmetric of A with respect to I. 1) Draw the figure. 2) What is the nature of ABEC? Justify. 3) Show that D, C and E are collinear. 4) Show that C is the midpoint of [DE]. 5) Find x, If AE = 2x+6 and IE = 4x − 5. Ex.3: (3 points) ̂ = ̂ In the adjacent figure, ABCD is a parallelogram and 1) Prove that BEDF is a parallelogram. 2) Prove that [AC]; [BD] and [EF] have the same midpoint. 3) Prove that AFCE is a parallelogram. ̂ = 210° − 3 and ̂ = 2 + 30°. 4) Find the value of if Grade: 8 Duration: 50 min Date: 3-12-2018