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Q: What polygons that have corresponding angels congruent and corresponding sides proportional?

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They are congruent shapes.

Vertical angels

There is no specific name for them.

Then the two lines cut through by transversal line are parallel to each other.

A rhombus

Two angles are congruent if they have the same measure.

That is called a regular polygon.

regular polygons

square

Usually not.

are angels having not equal,zize shape and measurement

Neither. It forms 4 congruent angles and, as far as I am aware, no angels.

That is a mathematical impossibility. At least 2 angles have to be congruent in order for the shape to have 4 sides.

15

All 4 angles of a rectangle are congruent each measuring 90 degrees

I think it is a yes

isosceles triangle

A rhombus

rhombus

A square has 4 congruent sides and 4 right angles

Not sure about angels, but if angles will satisfy you, the answer is a rectangle

Kite

A square

It is a square

Circles, some triangles, and irregular polygons

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