Question

NO LINKS!!! URGENT HELP PLEASE!!

Compare the sides and angles by filling in the blank with a < or > symbol. #21-24

Answer 1

21. QR < RS

22. AB > CD

23. m∠FJG < m∠HJG

24. m∠QSP > m∠QSR

Explanation:

Question 21

ΔQTR and ΔSTR have two corresponding sides of equal length:

• QT = ST and TR = TR

As the measures of the included angles ∠QTR and ∠STR are different, the other sides QR and SR cannot be equal.

As m∠QTR < m∠STR, then QR < RS.

Question 22

ΔADB and ΔCBD have two corresponding sides of equal length:

• AD = CD and DB = BD

As the measures of the included angles ∠ADB and ∠CBD are different, the lengths of the other sides AB and CD cannot be equal.

As m∠ADB > m∠CBD, then AB > CD.

Question 23

ΔFJG and ΔHJG have two corresponding sides of equal length:

• FJ = HJ and JG = JG

As the other sides FG and HG are different lengths, the measures of their opposite angles ∠FJG and ∠HJG will also be different.

As FG < HG then m∠FJG < m∠HJG.

Question 24

ΔQSP and ΔQSR have two corresponding sides of equal length:

• QS = QS and SP = SR

As the other sides QP and QR are different lengths, the measures of their opposite angles ∠QSP and ∠QSR will also be different.

As QP > QR then m∠QSP > m∠QSR.