0
- SSS - Side-Side-Side
- AAS - Angle-Angle-Side; ASA - Angle-Side-Angle
- SAS - Side-Angle-Side
Note: it is important that the angle is the one between the corresponding sides of equal length.
- RHS - Right_angle-Hypotenuse-Side
What else can I help you with?
Does an acute triangle have two congruent sides?
Not every acute triangle has two congruent sides, although some do, in which case they are called isosceles triangles.
When do you say that two triangles have the same shape?
well, they could be congruent, there are some rules for congruency, to be congruent two triangles have, ASA-two angles the same with a side length between them. SAS-two side lengths the same and a same angle between them. SSS-all 3 side lengths the same. RHS-if the triangles are right angles ,and the hypotenuse are the same. ;or they could be mathmatically similar. :)
Are some isosceles triangles equilateral triangles?
All isosceles triangles are not equilateral triangles
Are some right triangles also the same as equilateral triangles?
No...
What are some special right triangles?
your mom is the right triangles
Does a triangle have 2 congruent sides?
Some, but not all. Triangles with 2 congruent sides are called isoceles triangles. Triangles with 3 congruent sides are called equilateral triangles.
If abcadc which is true by CPCTC?
In the context of CPCTC (Corresponding Parts of Congruent Triangles are Congruent), if triangles ABC and ADC are congruent due to some criteria (like SSS, SAS, ASA, etc.), then corresponding parts such as side AB and side AD, as well as angle A, would be congruent. Therefore, if triangles ABC and ADC are congruent, it can be concluded that AB = AD and ∠A = ∠A. Thus, any corresponding parts of the triangles would be equal.
Are some scalene triangles isosceles?
never scalene-0 sides congruent isoceles-2 sides congruent
Are all right triangles congruent?
No, not all right triangles are congruent. Right triangles can have different side lengths and angles, as long as one angle is 90 degrees. Two right triangles are congruent if their corresponding sides and angles are equal, which is determined by criteria such as the Hypotenuse-Leg (HL) theorem or the Side-Angle-Side (SAS) criterion. Therefore, while some right triangles can be congruent, many others will not be.
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.
What does CPCTE stand for in geometry?
Corresponding parts of congruent triangles are congruent, perhaps some people use equal instead of congruent?
Why congruence is a special case of similarity?
Term similar is more wide than term congruent. For example: if you say that two triangles are congruent that automatically means that they are similar, but if you say that some two triangles are similar it doesn't have to mean that they are congruent.
Does an acute triangle have two congruent sides?
Not every acute triangle has two congruent sides, although some do, in which case they are called isosceles triangles.
How can you used a triangle to prove quadrilateral is a parallelogram?
A quadrilateral, in general, is not a parallelogram. If it is a parallelogram then you will have some additional information about its sides and angles. If you do not have such information it is not possible to prove that it is a parallelogram. Draw a diagonal which will divide the quadrilateral into two triangles and use the additional information that you have to show that the triangles are congruent. This can then be used to show equality of sides or of angles: the latter can then be used to show that sides are parallel. Note that the choice of which diagonal may influence how (if at all) you proceed.
What is congruent angle?
Congruent angles are of the same size as for example 85 degrees is congruent to 85 degrees
Is a right angle an isosceles angle?
Isosceles triangles are triangles in which 2 angles and 2 sides are congruent, or equal. There is nothing called an isosceles angle. Some isosceles triangles are right triangles. This is where the non-congruent triangle is a right triangle, and the other two are 45 degrees each. This type of triangle is called a 45-45-90 triangle. Two sides are multiples of one and the third is a multiple of root-2. In other words yes it is.
When do you say that two triangles have the same shape?
well, they could be congruent, there are some rules for congruency, to be congruent two triangles have, ASA-two angles the same with a side length between them. SAS-two side lengths the same and a same angle between them. SSS-all 3 side lengths the same. RHS-if the triangles are right angles ,and the hypotenuse are the same. ;or they could be mathmatically similar. :)
