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**Proving That a Quadrilateral Is a Parallelogram State whether the information given about quadrilateral **

*SMTP*

**is sufficient to prove that it is a parallelogram.**

**1.**

*SPT SMT*

**2.**

*SPX TMX, TPX SMX*

**3.**

**5.**

SM PX PT

*,*

MX

*,*

SP SX MT TX

**4.**

SX

**6.**

SP XT MT

*, ,*

SM SP 6 PT MT

*S P X M T Algebra*

**Find the values of **

*x*

**and **

*y*

**for which the figure must be a parallelogram.**

**7.**

*I*

**7**

*y M*

**4**

*x *

**20**

*A x *

**26**

*P*

**6**

*x *

**9 8.**

**2**

*x *

**14**

*P I x M A*

**5**

*x *

**4 2**

*y*

**9.**

*I P*

**(2**

*x*

**)**

*M*

**(12**

*y *

**8) (5**

*y *

**2)**

*A Algebra*

**Find the value of **

*x.*

**Then tell whether the figure must be a parallelogram. Explain your answer.**

**10.**

**3**

*x *

**2 11.**

**(**

*x *

**30) (2**

*x *

**25)**

*x *

**4 2**

*x *

**4**

*2x *

**6 (3**

*x *

**15) (2**

*x)*

**12.**

**50 Decide whether the quadrilateral is a parallelogram. Explain your answer.**

**13.**

**14.**

**15.**

**16.**

**(4**

*x *

**10) (**

*x *

**15) (2**

*x)*

**17.**

**18.**

**19.**

**20.**

**3**