Q: When two plane figures have congruent angles and porportional sides they are?

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It depends on what is given.In general, one half of the bisected angle is proven to congruent to the other half. By the Definition of an Angle Bisector, the bisected angle can be proven bisected.---- To show that two angles are congruent:One way to prove the two angles congruent is to show that their measures are equal. This can be done if there are numbers on the diagram. Use the Protractor Postulate or the Angle Addition Postulate to find the smaller angles' measures, if they are not directly marked. Then use the Definition of Congruent Angles to prove them congruent.Given that the smaller angles correspond on a congruent or similar pair of figures in that plane and form an angle bisector, the Corresponding Parts of Congruent Figures Postulate or Corresponding Parts of Simlar Figures Postulate may be used.

No because the angles are not factors of 360 degrees

It is a regular tessellation.

a closed plane figure with all sides congruent and all all angles

A quadrilateral with 4 right angles cannot have just two congruent sides so, unless this is a trick question (2 congruent sides does not excluded the possibility of more than 2 congruent sides), the answer is there is no such plane figure.

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skew

It depends on what is given.In general, one half of the bisected angle is proven to congruent to the other half. By the Definition of an Angle Bisector, the bisected angle can be proven bisected.---- To show that two angles are congruent:One way to prove the two angles congruent is to show that their measures are equal. This can be done if there are numbers on the diagram. Use the Protractor Postulate or the Angle Addition Postulate to find the smaller angles' measures, if they are not directly marked. Then use the Definition of Congruent Angles to prove them congruent.Given that the smaller angles correspond on a congruent or similar pair of figures in that plane and form an angle bisector, the Corresponding Parts of Congruent Figures Postulate or Corresponding Parts of Simlar Figures Postulate may be used.

Not sure what a "quadrilaters" is. A quadrilateral is a plane (2-dimensional) figure with four straight sides. It can have all four angles different. It can have two congruent angles (kite), 3 congruent angles (no specific name), 2 pair of two congruent angles (parallelogram/rhombus), or four congruent angles (rectangle/square).

A quadrilateral is a plane figure with four straight sides and does not necessarily have any congruent angles. Some quadrilaterals such as, squares, rectangles, rhombuses, and parallelograms do have congruent angles.

TWO SHAPES THAT ARE THE SAME SIZE AND SAME SHAPE ARE CONGRUENT. THEY CAN BE TURNED OR ROTATED ANY DIRECTION. POLYGONS AND ANY OTHER SHAPES CAN BE CONGRUENT. LOOK AROUND YOU, YOU'LL FIND MANY CONGRUENT FIGURES. PLANE FIGURES HAVE TO BE ON PAPER OR A FLAT AREA LIKE A PICTURE. THEY ARE TWO DIMENSIONAL. :)

No because the angles are not factors of 360 degrees

It is a regular tessellation.

Cjic

a closed plane figure with all sides congruent and all all angles

Parallel

A quadrilateral with 4 right angles cannot have just two congruent sides so, unless this is a trick question (2 congruent sides does not excluded the possibility of more than 2 congruent sides), the answer is there is no such plane figure.

Polygon