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Given:In a triangle ABC in which EF BC
To prove that:AE/EB=AF/FC
Construction:Draw EX perpendicular AC and FY perpendicular AB
Proof:taking the ratios of area of triangle AEF and EBF and second pair of ratio of area of triangle AEF and ECF.
We get AE/EB and AF/FC
we know that triangle lie b/w sme and same base is equal in area
therefore area of EBF I equal to area of ECF
therefore AE/EB=AF/FC
HENCE PROVED
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A diagonal separates the parallelogram into?
Two congruent triangles.. To prove it, use the SSS Postulate.
What is the difference between a theorem and postulate?
Postulates are assumed to be true and we need not prove them. They provide the starting point for the proof of a theorem. A theorem is a proposition that can be deduced from postulates. We make a series of logical arguments using these postulates to prove a theorem. For example, visualize two angles, two parallel lines and a single slanted line through the parallel lines. Angle one, on the top, above the first parallel line is an obtuse angle. Angle two below the second parallel line is acute. These two angles are called Exterior angles. They are proved and is therefore a theorem.
It appears from the name of the HL Theorem that you actually need to know that only two parts of two triangles are congruent in order to prove two triangles congruent Is this the case?
No. You can know all three angles of both and all you can say is that the triangles are similar. Or with any pair of congruent sides you can have an acute angle between them or an obtuse angle.
Prove that two equilateral triangles are always similar?
Two triangles are similar if: 1) 3 angles of 1 triangle are the same as 3 angles of the other or 2) 3 pairs of corresponding sides are in the same ratio or 3) An angle of 1 triangle is the same as the angle of the other triangle and the sides containing these angles are in the same ratio. So if they are both equilateral, then they both have three 60 degree angles since equilateral triangles are equiangular as well. Then number 1 above tell us by AAA, they are similar.
Which theorem is used to prove the AAS triangle congruence postulate theorem?
The first thing you prove about congruent triangles are triangles that have same side lines (SSS) is congruent. (some people DEFINE congruent that way). You just need to show AAS is equivalent or implies SSS and you are done. That's the first theorem I thought of, don't know if it works though, not a geometry major.
Two parallel lines have equal slope?
Yes. You can use this to prove that two lines are parallel, in analytic geometry, i.e., geometry that uses coordinates.Yes. You can use this to prove that two lines are parallel, in analytic geometry, i.e., geometry that uses coordinates.Yes. You can use this to prove that two lines are parallel, in analytic geometry, i.e., geometry that uses coordinates.Yes. You can use this to prove that two lines are parallel, in analytic geometry, i.e., geometry that uses coordinates.
How can coordinate proof be used to prove two lines are parallel?
you can coordinate parallel because parallel lines never touch or cross
What IS Special About corresponding angles?
Corresponding angle are used to prove if lines are parallel. If they are congruent then the lines cut by the transferal are parallel.
How can you tell both shapes are similar?
to prove two triangles are similar, get 2 angles congruent
Is it possible to prove that lines p and q are parallel?
Quite possibly, but it will depend on the lines!
Why can't you use AAA to prove two triangles congruent?
You can't use AAA to prove two triangles congruent because triangles can have the same measures of all its angles but be bigger or smaller, AAA could probably be used to prove two triangles are similar not congruent.
How you can prove that the angles of two triangles are equal?
If the angles of two triangles are equal the triangles are similar. AAA If you have three angles on both triangles these must be equal for the triangles to be similar. SAS If you have an angle between two sides and the length of the sides and the angle are the same on both triangles, then the triangles are similar. And SSS If you know the three sides
How do you prove that two lines will never meet can someone help with the method to say that they are parallel?
By stating they are parallel.
How do you prove triangles similar?
To prove that two or more triangles are similar, you must know either SSS, SAS, AAA or ASA. That is, Side-Side-Side, Side-Angle-Side, Angle-Angle-Angle or Angle-Side-Angle. If the sides are proportionate and the angles are equal in any of these four patterns, then the triangles are similar.
The AA Similarity Postulate states that two triangles are similar if they have?
You would use the AA Similarity Postulate to prove that the following two triangles are similar. True or false?
How do you make a flowchart for congruent or similar triangles?
Here guys Thanks :D Congruent triangles are similar figures with a ratio of similarity of 1, that is 1 1 . One way to prove triangles congruent is to prove they are similar first, and then prove that the ratio of similarity is 1. In these sections of the text the students find short cuts that enable them to prove triangles congruent in fewer steps, by developing five triangle congruence conjectures. They are SSS! , ASA! , AAS! , SAS! , and HL ! , illustrated below.
If a transversal intersect two lines such that the bisectors of a pair of corresponding angles are parallel then prove that lines are parallel?
now you can see that two parallel lines are intersected by another two ll lines therefore we can prove congurent in two traingle by constructing a line in quadiletral formed therefore their angle are equal nd are prallel
