Based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why ABC= XYZ

 A) SAS  and   B) ASA  and   (D) LA

Step-by-step explanation:

A) AC = XZ  Sides are congruent

   ∠C = ∠Z   Angles are congruent

   BC = YZ   Sides are congruent  

                  Side-Angle-Side

B) ∠A = ∠X   Angles are congruent

    AC = XZ   Sides are congruent

   ∠C = ∠Z   Angles are congruent  

                  Angle-Side-Angle

C) AB = XY is not given. We can use Pythagorean Theorem to discover that they are the same but since it is not given we cannot use Side-Side-Side.

D) AC = XZ   Legs are congruent

    ∠A = ∠X   acute Angles are congruent  

                     Leg-Angle

i cant see the graph

step-by-step explanation:

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: