50 pts please help A) The angles are adjacent and share the same vertex.

B)The angles are vertical and share the same vertex.

C)There isn’t enough information to say the triangles are congruent.

D) The angles are linear and share the same vertex.

B)The angles are vertical and share the same vertex.

Step-by-step explanation:

AC = CE since there is a single line on each side showing the sides are equal

BC = CD since there is a double line on each side showing the sides are equal

<ACB =< DCE because they are vertical angles and share the same vertex

We have Side angle Side  

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

jml angle lkj & angle mj = lm