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How can I prove an angle bisector?

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.


Can you use the ASA Postulate or the AAS Theorem to prove the triangles congruent?

Yes, you can use either the ASA (Angle-Side-Angle) Postulate or the AAS (Angle-Angle-Side) Theorem to prove triangles congruent, as both are valid methods for establishing congruence. ASA requires two angles and the included side to be known, while AAS involves two angles and a non-included side. If you have the necessary information for either case, you can successfully prove the triangles are congruent.


What postulate or theorem would you use to prove the triangles are congruent?

To prove that two triangles are congruent, you can use the Side-Angle-Side (SAS) Postulate. This states that if two sides of one triangle are equal to two sides of another triangle, and the angle between those sides is also equal, then the triangles are congruent. Alternatively, the Angle-Side-Angle (ASA) Theorem can also be used if two angles and the included side of one triangle are equal to the corresponding parts of another triangle.


Which postulate or theorem can be used to prove that SEA?

To prove that triangle SEA is congruent to another triangle, you can use the Side-Angle-Side (SAS) Postulate. This postulate states that if two sides of one triangle are equal to two sides of another triangle, and the angle included between those sides is also equal, then the triangles are congruent. Additionally, if you have information about the angles and sides that meet the criteria of the Angle-Side-Angle (ASA) or Side-Side-Side (SSS) congruence theorems, those could also be applicable.


How do you prove In a circle or congruent circles congruent central angles have congruent arcs?

Chuck Norris can prove it

Related Questions

Can you use the SSS postulate or the SAS postulate to prove triangle ABC and triangle AED are congruent?

Blah blah blah


What is the definition of AAS Congruence postulate of trianges?

It is a theorem, not a postulate, since it is possible to prove it. If two angles and a side of one triangle are congruent to the corresponding angles and side of another triangle then the two triangles are congruent.


A diagonal separates the parallelogram into?

Two congruent triangles.. To prove it, use the SSS Postulate.


How can I prove an angle bisector?

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.


Can you use the ASA Postulate or the AAS Theorem to prove the triangles congruent?

Yes, you can use either the ASA (Angle-Side-Angle) Postulate or the AAS (Angle-Angle-Side) Theorem to prove triangles congruent, as both are valid methods for establishing congruence. ASA requires two angles and the included side to be known, while AAS involves two angles and a non-included side. If you have the necessary information for either case, you can successfully prove the triangles are congruent.


How do you prove In a circle or congruent circles congruent central angles have congruent arcs?

Chuck Norris can prove it


Postulate or theorem used to prove two triangles are congruent?

You can use a variety of postulates or theorems, among others: SSS (Side-Side-Side) ASA (Angle-Side-Angle - any two corresponding sides* and a corresponding angle) SAS (Side-Angle-Side - the angle MUST be between the two sides, except:) RHS (Right angle-Hypotenuse-Side - this is only ASS which works) * if two corresponding angles are the same, then the third corresponding angle must also be the same (as the angles of a triangle always sum to 180°), and that can be substituted for one angle of ASA to get AAS or SAA.


what- If you are given or can prove that two triangles are congruent, then you may use CPCTC to prove that the angles or sides are?

congruent


How can proving two triangles congruent can help prove parts of the triangle congruent?

When you prove a triangle is congruent to another, it can help you prove parts of the triangle congruent by checking the ratio between all sides and angles. Thank you for asking


Which postulate or theorem can be used to prove that triangle PRS is congruent to triangle QRS?

We cannot determine without seeing the data for PRS & QRS. My guess though would be ASA Though it could also be SSS


Which theorem is used to prove that aas triangle congruence postulate theorem?

AAS: If Two angles and a side opposite to one of these sides is congruent to thecorresponding angles and corresponding side, then the triangles are congruent.How Do I know? Taking Geometry right now. :)


How do you prove that the diagonals of an isosceles trapezoid are equal?

Let's draw the isosceles trapezoid ABCD, where AD ≅ BC, and mADC ≅ mBCD. If we draw the diagonals AC and BD of the trapezoid two congruent triangles are formed, ∆ ADC ≅ ∆ BDC (SAS Postulate: If two sides and the angle between them in one triangle are congruent to the corresponding parts in another triangle, then the triangles are congruent). Since these triangles are congruent, AC ≅ BD.