4) Write the properties of congruent segments.
Answers
Answer:
PROPERTIES OF CONGRUENCE
Reflexive Property
For all angles A
, ∠A≅∠A
An angle is congruent to itself.
These three properties define an equivalence relation
Symmetric Property
For any angles A and B
if ∠A≅∠B
, then ∠B≅∠A
Order of congruence does not matter.
Transitive Property
For any angles A,B, and C
if ∠A≅∠B
and ∠B≅∠C , then ∠A≅∠C
If two angles are both congruent to a third angle, then the first two angles are also congruent.
Step-by-step explanation:
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Explanation:
Congruence has three components. They are the reflexive, symmetrical, and transitive properties. Lines, angles, and forms are all affected by all three qualities. The reflexive feature of congruence states that a line segment, angle, or form is always congruent to itself.
Congruence's reflexive property
- A segment, an angle, a triangle, or any other geometry is always congruent or equal to itself, according to the reflexive property of congruence.
Congruence's symmetric property
- The symmetric property of congruence states that if one figure (let's call it figure A) is congruent or equal to another figure (let's call it figure B), then figure B must be congruent or equal to figure A.
Congruence's transitive property
- The transitive property of congruence states that if a figure (let's call it figure A) is congruent or equal to another figure (let's call it figure B), and figure B is likewise congruent to another figure (let's call it C), then figure A is also congruent to another figure (let's call it C).