Decide if there is enough information to prove each of the following pairs of triangles are congruent.
justify your answer for each pair of triangles.

Step-by-step explanation:

1)Yes

In ΔABC and ΔDCE,

AC =CE  {GIVEN}

∠ACB = ∠ DCE     (Veritcally opposite angles)

BC =CD {GIVEN}

ΔABC ≅ ΔDCE       {Side Angle Side - SAS CONGRUENCE}      

3) Yes

In ΔRST and ΔVUT,

∠RST = ∠VUT = 90°{GIVEN}

ST =TU       {GIVEN}

∠RTS = ∠ VTU     (Veritcally opposite angles)

ΔRST ≅  ΔVUT     { Angle Side Angle - ASA CONGRUENCE}      

4)Yes

In ΔDEF and ΔDHG,

ED = DH  {GIVEN}

∠EDF = ∠ GDH     (Veritcally opposite angles)

FD = DG {GIVEN}

ΔDEF  ≅ ΔDHG       {Side Angle Side - SAS CONGRUENCE}  

2) NO  

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

add 5 subtract 1

step-by-step explanation: