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What must be trueof the side lengths in order to build a triangle with three angles measuring 60?
they all have to be congruent
Are congruent triangles similar?
Yes, similar triangles are congruent because in order to be congruent they must first be equal. Which in turn is the definition of a similar triangle. A triangle equal in angle measurements and/or side lengths. So, yes.
What are similar triangles?
Triangles that are the same shape but not the same size. In order to be a similar triangle, their numbers have to form proportions with the numbers of the similar triangle.
Do all figures with rotational symmetry also have reflection symmetry?
No.For example, a hexagon with equal angles and sides of lengths a,b,a,b,a,b has rotational symmetry of order 3, but it has no reflection symmetry.No.For example, a hexagon with equal angles and sides of lengths a,b,a,b,a,b has rotational symmetry of order 3, but it has no reflection symmetry.No.For example, a hexagon with equal angles and sides of lengths a,b,a,b,a,b has rotational symmetry of order 3, but it has no reflection symmetry.No.For example, a hexagon with equal angles and sides of lengths a,b,a,b,a,b has rotational symmetry of order 3, but it has no reflection symmetry.
What information do you need in order to prove the triangles congruent using congruence postulate?
You need enough information about both triangles to be able to compareany one of the following packages of parts of both of them:-- the length of any two sides and the size of the angle between them-- the size of any two angles and the length of the side between them-- the lengths of all three sides.
In order to apply the law of cosines to find the measure of an interior angle what is enough to know?
The lengths of all three sides of the triangle APEX:)
What must be true of the side lengths in order to build a triangle with three angles measuring 60 degrees what kind of triangle is this?
In a triangle, if all of the angles are 60 degrees, then all three sides of the triangle are equal to each other. Basically, if the angles are equal than the sides must be equal. This kind of triangle is called an equilateral triangle.
Do isosceles triangles have exactly two acute angles?
Answer: Yes, because of the two angles have to be exactly equal in order to be isosceles. And no isosceles has 3 acute angles and then it will be equilateral triangle Answer: No, the isosceles triangle can either have two acute angles, or all three can be acute.
Do the sides of a shape have to equal in order for it to be similar?
it has to have equal angles, not side lengths. otherwise it would just be two of the same shape
In two triangles have a congruent angle and two congruent angle and two congruent sides then the triangles are guaranteed to be congruent?
Yes, if two triangles have two congruent angles and two congruent sides then the triangles are guaranteed to be congruent. They only need two angles and one side congruent or two sides and one angle in order to be congruent.
What is Asa for congruence?
If a side and two angles at either end of it (Angle-Side-Angle = ASA) of one triangle are the same measure as that of another triangle, then the two triangles are congruent. In fact, it does not have to be the angles at the ends of the sides in question since two angles being equal means that the third pair of angle will also be equal. So as long as the ASA are in corresponding order, the triangles will be congruent.
What defines a congruent triangle?
All corresponding sides and all interior angles are congruent. But in order to have a congruent triangle, we need two or more triangles that fit these requirements.
