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What are three ways that you can prove that triangles are congruent?
Wiki User
∙ 14y ago
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.
Wiki User
∙ 14y ago
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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 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 many ways can you divide a square into 2 matching or congruent halves?
Infinite ways
What are the five ways to prove a triangles congruent?
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
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 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)
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.
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 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)
What are the four ways to classify triangles by angle measure?
You can classify triangles by:Whether one of their angles is greater than 90 degrees, equal to 90 degrees, or all angles are less than 90 degreesWhether they have two or three congruent angles (equivalent to having two or three congruent sides)I think that's about it.
Can two congruent triangles form a rectangle?
No it can not you can try all these different ways but it will not work
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.
