Plane geometry

Read the complete problem, then answer its numbered subtasks.

30 exercises

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Exercise 1 Exercise 2 Exercise 3 Exercise 4 Exercise 5 Exercise 6 Exercise 7 Exercise 8 Exercise 9 Exercise 10 Exercise 11 Exercise 12 Exercise 13 Exercise 14 Exercise 15 Exercise 16 Exercise 17 Exercise 18 Exercise 19 Exercise 20 Exercise 21 Exercise 22 Exercise 23 Exercise 24 Exercise 25 Exercise 26 Exercise 27 Exercise 28 Exercise 29 Exercise 30

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Exercise 30

Book 2 · Plane geometry

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Դիցուք $A B C D$ -ն ուռուցիկ քառանկյուն է և $M$ , $N$ , $P$ , $Q$ կետերը համապատասխանաբար $A B$ , $B C$ , $C D$ , $D A$ կողմերի միջնակետերն են: $O$ կետը $M P$ և $N Q$ հատվածների հատման կետն է:

Subtask 1

$M N P Q$ -ն զուգահեռագիծ է:

TrueFalse

Subtask 2

Եթե $N O = O P$ , ապա $S A B C D$ $A C \cdot B D = 2$ :

TrueFalse

Subtask 3

$22 M P + N Q$ $22 A C + B D = 4$ :

TrueFalse

Subtask 4

$S S + A M Q N C P$ $S = M B N$ $S + Q P D$ :

TrueFalse

Subtask 5

Եթե $0 ∠ A + ∠ B = 180$ , ապա $A B + C D N Q > 2$ :

TrueFalse

Subtask 6

Եթե $S B N O M$ $< S N O P C$ , ապա $S A M O Q$ $> S Q O P D$ :

TrueFalse

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