Triangle abc is rotated 180o about the origin. use complete sentences to describe the relationship between the corresponding angles of triangle abc and its image.

The coordinates will change signs and the angles will be congruent.

Step-by-step explanation:

If a point (x,y) is rotated by 180° through the origin the coordinates of the new points are (-x,-y).That is the coordintes will change its sign.

If a triangle ABC is rotated by origin by 180°  to have an image A'B'C' the coordinates of  the new points will be opposite to the original points.

In any rotation the shape is preserved and the triangles are similar .Hence <A≅<A' ,<B ≅<B' and <C≅<C'.

answer: a and b

step-by-step explanation:

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.