Answer:Diagram is attached.
Step-by-step explanation:
When a point is rotated about the x axis the new point is at an equal distance from the point of rotation.
The given Urn (red) is rotated along the line x=1 .The rotated points will be at equal distance from the line x=1.In the figure the blue Urn is the rotated figure about the line x=1.
The coordinates of the points are mentioned in the diagram attached .In the rotated figire the y values remains same while for x coordinateis of the point at the same disstane from line x=1 .
Two triangle ABE and MNP are similar by AA criterion
Step-by-step explanation:
Given that ABE is an isosceles Δ with ABE= 100°
this means that some of the other two angles must be =180°-100°=80°
Since the triangle is an isosceles Δ meaning two sides measure must be equal, it means the other two sides measure 40° each.
∠BAC=∠ACB=40°
In MNP one of the base angles is 40° and the triangle is isosceles. For an isosceles triangle base angles are always equal hence other base angle is also 40° meaning
the angle measures come out to be 40°,40° and 100°
Since all the angle measures are same the two triangles are similar in aspect by AA criterion where AA refers to "angle-angle"
Definition 1. A rigid motion of the plane ( or an isometry ) is a motion whichpreserves distance.There are four basic rigid motions:(1) Reflection(2) Glide Reflection(3) Rotation(4) Translation