yes
An isosceles triangle has two equal sides and two equal angles
Reflexive Postulate.
A triangle with no equal sides and no equal angles is called a scalene triangle. In contrast, a triangle with equal sides and equal angles is called an equilateral triangle. A triangle with two equal sides and two equal angles is an isosceles triangle.
A triangle with 3 equal sides is an equilateral triangle. A triangle with 2 equal sides is an isosceles triangle. There is no such thing as a triangle with ONE equal side. Equal to what? If you wish to stretch it and say each side is (equal to itself only ) not equal to any others it is a scalene triangle.
A triangle with no equal sides is a scalene triangle.
Yes, triangles ABC and DEF can be considered equal (congruent) if they meet specific criteria, such as having all corresponding sides and angles equal. The postulate that applies in this case is the Side-Side-Side (SSS) Congruence Postulate, which states that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent. Other applicable postulates include Side-Angle-Side (SAS) and Angle-Side-Angle (ASA), depending on the given information.
there isn't a AAA postulate because,,, for a triangle to be equal, there HAS to be a side in it
Yes, triangles ABC and DEF are congruent if all corresponding sides and angles are equal. The congruence postulate that applies in this case could be the Side-Angle-Side (SAS) postulate, which states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent. Other applicable postulates include Side-Side-Side (SSS) and Angle-Angle-Side (AAS), depending on the known measurements.
Yes, triangle SAM is congruent to triangle DEL if the corresponding sides and angles are equal. This can be established using the Side-Angle-Side (SAS) Congruence Postulate, which states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, then the triangles are congruent. Alternatively, if all three sides of both triangles are equal, the Side-Side-Side (SSS) Congruence Theorem can also be applied.
The postulate that proves triangles PNQ and QRP are congruent is the Side-Angle-Side (SAS) Congruence Postulate. If two sides of one triangle are equal to two sides of another triangle, and the included angle between those sides is also equal, then the triangles are congruent. In this case, if sides PN and QR are equal, sides PQ and RP are equal, and angle PQN is equal to angle QRP, then triangle PNQ is congruent to triangle QRP.
An isosceles triangle has two equal sides and two equal angles
Yes, triangles FGH and JKL are similar. The similarity can be established using the Angle-Angle (AA) postulate, which states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar. If the angles of FGH correspond to the angles of JKL, the triangles are indeed similar.
There is no AAA theorem since it is not true. SSS is, in fact a theorem, not a postulate. It states that if the three sides of one triangle are equal in magnitude to the corresponding three sides of another triangle, then the two triangles are congruent.
There is no AAA theorem since it is not true. SSS is, in fact a theorem, not a postulate. It states that if the three sides of one triangle are equal in magnitude to the corresponding three sides of another triangle, then the two triangles are congruent.
To prove that triangle SEA is congruent to another triangle, you can use the Side-Angle-Side (SAS) Postulate. This postulate states that if two sides of one triangle are equal to two sides of another triangle, and the angle included between those sides is also equal, then the triangles are congruent. Additionally, if you have information about the angles and sides that meet the criteria of the Angle-Side-Angle (ASA) or Side-Side-Side (SSS) congruence theorems, those could also be applicable.
Reflexive Postulate, or Identity Postulate.
Only if it is in the shape of a square