Yes
A trapezoid.
Yes, easily.
Yes, if two angles and a non-included side of one triangle are congruent to the corresponding two angles and side of another triangle, then the triangles are congruent by the Angle-Angle-Side (AAS) postulate. This postulate states that if two angles and a side that is not between them are congruent in two triangles, the triangles must be identical in shape and size. Therefore, the triangles are congruent.
Yes, they are.
The shape described is a trapezoid, specifically an isosceles trapezoid. It has one rectangular base and two pairs of congruent triangles on either side, formed by the non-parallel sides extending to meet at the top. This configuration maintains symmetry and equal angles at the base, creating a visually balanced shape.
In geometry two figures are congruent if they have the same shape and size if they are non congruent they do not have the same shape and size two triangles are congruent if their corresponding sides are all equal in lengh and their corresponding angles are equal in size
False. A diagonal of a parallelogram produces 2 congruent triangles
sssThere are five methods for proving the congruence of triangles. In SSS, you prove that all three sides of two triangles are congruent to each other. In SAS, if two sides of the triangles and the angle between them are congruent, then the triangles are congruent. In ASA, if two angles of the triangles and the side between them are congruent, then the triangles are congruent. In AAS, if two angles and one of the non-included sides of two triangles are congruent, then the triangles are congruent. In HL, which only applies to right triangles, if the hypotenuse and one leg of the two triangles are congruent, then the triangles are congruent.
There are 6 of them.
A trapezoid.
Yes, easily.
Because angle angle angle does not necessarily give rise to congruent triangles - they can be similar, but non-congruent.
Yes, they are.
17
No. SSA can give rise to a pair of non-congruent triangles.
Yes, they are.
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.