0
What else can I help you with?
What is the term for two triangles whoSe angles are congruent and sides are proportional?
Such triangles are similar.
The S's in the SSS Similarity Theorem state that two triangles are similar if they have three proportional what?
Sides
Do the corresponding sides of similar triangles have proportional lengths?
Yes, the corresponding sides of similar triangles have proportional lengths. This means that the ratios of the lengths of corresponding sides are equal. For example, if two triangles are similar, the ratio of the lengths of one triangle's sides to the lengths of the other triangle's corresponding sides will be the same across all three pairs of sides. This property is fundamental in solving problems related to similar triangles.
What do you need to show to prove two triangles are similar by SAS Similarity Theorem?
To prove two triangles are similar by the SAS (Side-Angle-Side) Similarity Theorem, you need to demonstrate that two sides of one triangle are proportional to two sides of the other triangle, and that the included angles between those sides are congruent. Specifically, if triangle ABC has sides AB and AC proportional to triangle DEF's sides DE and DF, and angle A is congruent to angle D, then the two triangles are similar.
What criteria would show that two triangles are similar?
Two triangles are similar if they meet one of the following criteria: (1) the corresponding angles of the triangles are equal (Angle-Angle or AA criterion), (2) the lengths of corresponding sides are proportional (Side-Side-Side or SSS criterion), or (3) two sides of one triangle are proportional to two sides of the other triangle, and the included angles are equal (Side-Angle-Side or SAS criterion). These conditions ensure that the triangles have the same shape, though they may differ in size.
If two sides of one triangle are proportional to two sides of a second triangle and the included angles of those sides are congruent then are the triangles similar?
If the 3 sides are proportional by ratio and the angles remain the same then the two triangles are similar
What is the term for two triangles whoSe angles are congruent and sides are proportional?
Such triangles are similar.
If two triangles are equiangular then their corresponding sides are proportional?
Yes.
Is it possible for two triangles to have two pairs of sides that are proportional without the triangles being similar?
Yes. You can even have two triangles with two pairs of sides that are the SAME measure without the triangles being similar.
The term for two triangles whose angles are congruent and sides are proportional is?
similar
The S's in the SSS Similarity Theorem states that two triangles are similar if they have proportional sides?
three
The S's in the SSS Similarity Theorem state that two triangles are similar if they have three proportional what?
Sides
If two angles of one triangle are equal to two angles of another triangle then the triangles are similar because of the?
If the angles are the same and the sides are proportional by ratio then they are said to be similar triangles.
What criteria would show that two triangles are similar?
Two triangles are similar if they meet one of the following criteria: (1) the corresponding angles of the triangles are equal (Angle-Angle or AA criterion), (2) the lengths of corresponding sides are proportional (Side-Side-Side or SSS criterion), or (3) two sides of one triangle are proportional to two sides of the other triangle, and the included angles are equal (Side-Angle-Side or SAS criterion). These conditions ensure that the triangles have the same shape, though they may differ in size.
If two triangles have three pairs of congruent angles are the triangles guaranteed to be congruent?
No- triangles with all angles respectively equal need not be congruent. For example, all equilateral triangles have 3 angles of 60 degrees each but the the sides could be any length. However the sides of such triangles are proportional - such triangles are called similar. They look alike except for their scale.
If there sides of a triangle are respectively equal to the three sides of another triangle the two triangles are we call this as axiom?
It is not an axiom, but a theorem.
Which is not a way to prove two right triangles are congruent ll or ha or hl or AA?
aa. If the angles are equal and the triangles are right triangles, then all three angles are equal, but the sides can grow or shrink, as long as they remain proportional.
