Let Rotation1 be the rotation of a figure d degrees around center O. Let Rotation 2 be the rotation of the same figure d degrees around center P. Does the Rotation
1 of the figure followed by the Rotation2 equal a Rotation2 of the figure
followed by the Rotation1?

measure and label the angles and side lengths of △푨푩푪.  How do they compare with the images△푨′푩′푪′and △푨′′푩′′푪′′?Measures of corresponding sides and measures of corresponding angles of three triangles are equal.Scaffolding: It may be beneficial to check student work periodically throughout the Exploratory Challenge.As necessary, provide teacher modeling.

Step-by-step explanation:

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it