Yes
All triangles have a total of 180 degrees. In an isosceles triangle the two angles opposite the side of equal length will have equal degrees.
It is not an axiom, but a theorem.
A side opposite refers to a side of a geometric shape that is directly across from another side. In the context of triangles, for example, the side opposite a given angle is the one that does not touch that angle. This concept is important in trigonometry, where relationships between angles and their opposite sides are used to solve problems involving triangles.
Yes, all parallelograms can be split into two congruent triangles. This is achieved by drawing a diagonal line connecting two opposite vertices. This diagonal divides the parallelogram into two triangles that are congruent by the Side-Angle-Side (SAS) postulate, as they share a side (the diagonal), and the angles formed at the vertices are equal.
To divide a single triangle into six equal parts, you can start by drawing lines from each vertex to the midpoint of the opposite side, creating three smaller triangles. Then, draw lines connecting the midpoints of each side of the triangle to the opposite vertices, which will yield a total of six smaller triangles, all of equal area. Alternatively, you can create a larger triangle around the original and divide it into six equal smaller triangles using appropriate angles and midpoints.
If two angles and the side opposite one of them in one triangle are equal to one side and two similarly located angles in a second triangle then the two triangles are congruent. (The triangles are exactly the same shape and size as each other).
ASA stands for "angle, side, angle" and means that we have two triangles where we know two angles and the included side are equal. If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
If 2 "corresponding" angles of two triangles and the side between the two angles are equal, then the two triangles are congruent. This means all their "corresponding" sides and angles are equal.
All triangles have a total of 180 degrees. In an isosceles triangle the two angles opposite the side of equal length will have equal degrees.
square
A Square!
Yes, a parallelogram has four sides and four internal angles, the opposite side lengths are equal and the opposite angles are equal.
Quadrilaterals
If you accept that the sum of the angles in a triangle is 180 degrees, then picture this. A quadrilateral shape is two triangles. If you draw a line between one pair of opposite corners in quadrilateral shape, you have two triangles that share a common side. The sum of the angles in the quadrilateral must equal the sum of the angles in the two triangles. 2 x 180 = 360
The answer depends on what shape the question is about.
It is not an axiom, but a theorem.
SAA Congruence Postulate states that if two angles and a side opposite one of the angles are the same, the triangles are congruent.