Question

I need help plz i will make u a brainllest
1.Identify the property that justifies the following statement: 31. 36.Find the value of x rounded to the nearest tenth. 38.Which statements could you use to conclude that JKLM is a parallelogram?

Answer 1

Answer:  1) C. Reflexive Property of Congruence

               2) A. MD ≅ SG

               3) C. 5.3

               4) D. LK || MJ & JK ≡ LM

Step-by-step explanation:

1) An angle or side is congruent to itself by the Reflexive Property

2) TM ≡ LG       Sides are congruent (given)

   ∠M ≡ ∠G       Angles are congruent (given)

   MD ≡ SG       Sides are congruent                  

ΔTMD ≡ ΔLGS  Side-Angle-Side (SAS) Theorem

Note: The angle must connect the two sides

3) Use similarity proportion

$\dfrac{6}{x}=\dfrac{9}{8}\\\\\\48=9x\\\\\\\dfrac{48}{9}=x\\\\\\5.3=x$

4) In order to prove a polygon is a parallelogram, you must show

• opposite sides are parallel
• opposite sides are congruent