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The 5 ways to prove that two triangles are congruent are to find equal:

1) side-side-side

2) side-angle-side

3) angle-side-angle

4) angle-angle-angle

5) hypotenuse-leg

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11y ago

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What are three ways that you can prove that triangles are congruent?

If triangles have the corresponding sides congruent then they are congruent. SSS If two triangles have two sides and an included angle congruent then they are congruent. SAS If two triangles have two angles and an included side congruent then they are congruent. ASA SSA doesn't work.


How do you Prove triangle ACD is congruent to triangle BDC?

Because Corresponding Parts of Congruent Triangles, there are five ways to prove that two triangles are congruent. Show that all sides are congruent. (SSS) Show that two sides and their common angle are congruent. (SAS) Show that two angles and their common side are congruent. (ASA) Show that two angles and one of the non common sides are congruent. (AAS) Show that the hypotenuse and one leg of a right triangle are congruent. (HL)


Explain four ways to prove that two triangle are congruent?

one way is to use the corresponding parts. if they are congruent then the two triangles are congruent. i don't know any other ways without seeing the triangles or any given info. sorry i couldn't help more.


How you can prove that two triangles are congruent?

In order for 2 triangles to be congruent, it must be true that each pair of corresponding sides are congruent (equal in length) and each pair of corresponding angles are congruent (equal in size). It is not necessary to prove that all three pairs of sides and all three pairs of angles are congruent. If you prove that all the sides are congruent, then the angles must be congruent, too. This is known as SSS, the side-side-side method of proving congruency. There a four basic ways to prove congruency. They are: 1. SSS (side-side-side) Prove that all three pairs of sides are equal in length. 2. SAS (side-angle-side) Prove that two sides and the angle between them are equal. 3. ASA (angle-side-angle) Prove that two angles and the side between them are equal. 4. AAS (angle-angle-side) Prove that two angles and a side that is NOT between them are equal. Note that you cannot prove that triangles are congruent with AAA or SSA. Note: for right triangles we can use HL. This is a special method that just looks at the hypotenuse and the leg of one triangle and compares it to the hypotenuse of the other. However, if they are both right triangle, the angle between the hypotenuse and the leg is a right angle so this is really just a special case of AAS that we can only use for right triangles.


Can two congruent triangles form a rectangle?

No it can not you can try all these different ways but it will not work


What is triangle congruence theorem?

There are three main ways to prove to triangles congruent. If all the sides match, if a side then an included angle and the next side and last angle-side angle. SSS, SAS. ASA


What are the proofs that a quadrilateral ia s parallelogram?

There are 5 ways to prove a Quadrilateral is a Parallelogram. -Prove both pairs of opposite sides congruent -Prove both pairs of opposite sides parallel -Prove one pair of opposite sides both congruent and parallel -Prove both pairs of opposite angles are congruent -Prove that the diagonals bisect each other


How do you prove triangle congruence?

There are several different ways and the answers depend on what is known about the triangles.


Are adjacent sides of a rhombus always congruent?

Yes, it is one of the ways to prove a figure is a rhombus. If adjacent sides are congruent, then the figure is a rhombus.


What is the ways to prove that a quadrilateral is a parallelogram?

If it is a parallelogram, then it has two sets of parallelogram sides. Parallelograms' opposite angles are congruent A parallelogram's bisectors are congruent. * * * * * A parallelogram's bisectors are NOT congruent.


Explain why any triangle can be divided into congruent triangles in infinitely many ways?

Any triangle can be divided into congruent triangles in infinitely many ways due to the flexibility of triangle geometry and the infinite number of possible points and lines that can be drawn within the triangle. By drawing segments from vertices to points on the opposite sides or by connecting midpoints of sides, one can create various configurations that yield congruent triangles. Additionally, the use of angles, side lengths, and symmetry can further facilitate the creation of congruent divisions. This versatility ensures that there are limitless ways to achieve such partitions.


What are three ways that triangles are congruent?

Triangles are congruent when:All three sides are the same length (SSS congruency)Two sides and the angle between them are the same length (SAS congruency)Two angles and the side between them are the same length (ASA congruency)