Final answer:
When two triangles are congruent, their corresponding angles and sides are congruent, and they have the same size and shape. Option B is incorrect as it states congruent triangles have the same size but not necessarily the same shape, which goes against the definition of congruence in geometry.
Step-by-step explanation:
If two triangles are congruent facts must hold true. By definition, congruence in geometry means that two figures are the same in size and shape. Therefore, several important properties are shared between congruent triangles
A he corresponding angles of the triangles are congruent.
- C The corresponding sides of the triangles are congruent.
- D The triangles have the same size and shape.
Options A, C, and D are correct regarding Option B is incorrect because congruent figures must have the same shape in addition to the same size, which B does not specify. Additionally, I've used other information to demonstrate the principles of congruence. For example, in the case of the width of the Moon example, congruent triangles are used to draw conclusions about distances and sizes based on known measurements.
However, this general geometric knowledge surrounding figures and their properties can be broadly applied to various examples, such as the principle that the sum of a triangle's angles will always be 180 degrees, the use of the for right triangles, or understanding the basics of trigonometry with sine, cosine, and tangent definitions.