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Diketahui PQRS merupakan jajargenjang, O titik potong antara diagonalnya. a. Sederhanakanlah: (i) QP ​ + QR ​ (ii) PQ ​ + PS + RS + SQ ​ (iii) SO − QO ​ (iv) PR − SR + SQ ​

Diketahui  merupakan jajargenjang,  titik potong antara diagonalnya.

 

a. Sederhanakanlah:

(i)  

(ii)  

(iii)  

(iv)  

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(i) (ii) (iii) (iv)

(i) begin mathsize 14px style QP with rightwards arrow on top plus QR with rightwards arrow on top end stylebegin mathsize 14px style equals QP with rightwards arrow on top plus PS with rightwards arrow on top equals QS with rightwards arrow on top end style  
 

(ii) begin mathsize 14px style PQ with rightwards arrow on top plus PS with rightwards arrow on top plus RS with rightwards arrow on top plus SQ with rightwards arrow on top end style

begin mathsize 14px style open parentheses PQ with rightwards arrow on top plus PS with rightwards arrow on top close parentheses plus open parentheses RS with rightwards arrow on top plus SQ with rightwards arrow on top close parentheses equals open parentheses PQ with rightwards arrow on top plus QR with rightwards arrow on top close parentheses plus RQ with rightwards arrow on top equals PR with rightwards arrow on top plus RQ with rightwards arrow on top equals PQ with rightwards arrow on top end style 
 

(iii) begin mathsize 14px style SO with rightwards arrow on top minus QO with rightwards arrow on top end style 

begin mathsize 14px style stack S O with rightwards arrow on top equals stack O Q with rightwards arrow on top stack S O with rightwards arrow on top equals negative stack Q O with rightwards arrow on top stack S O with rightwards arrow on top minus stack Q O with rightwards arrow on top equals stack S O with rightwards arrow on top minus left parenthesis negative stack S O with rightwards arrow on top right parenthesis equals 2 stack S O with rightwards arrow on top end style 


(iv) begin mathsize 14px style PR with rightwards arrow on top minus SR with rightwards arrow on top plus SQ with rightwards arrow on top end style 

begin mathsize 14px style PR with rightwards arrow on top minus SR with rightwards arrow on top plus SQ with rightwards arrow on top equals PS with rightwards arrow on top plus SQ with rightwards arrow on top equals PQ with rightwards arrow on top end style 

 

 

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