en.wikipedia.org/wiki/Angle_bisector_theorem

In geometry, the **angle** bisector theorem is concerned with the relative **lengths** of
the two **segments** that a triangle's side .... Since supplementary **angles have**
equal sines, .... if a side of a triangle be divided internally or externally so that its
**segments have the same** ratio as the other sides of the triangle, the straight line
drawn ...

en.wikipedia.org/wiki/Isosceles_trapezoid

In Euclidean geometry, an isosceles trapezoid is a convex quadrilateral with a
line of symmetry ... The diagonals divide each other into **segments** with **lengths**
that are pairwise equal; in terms of the picture below, AE = DE, BE = CE (and AE
≠ CE ... In an isosceles trapezoid the base **angles have the same measure**
pairwise.

www.answers.com/Q/Segments_have_the_same_length_and_angles_have_the_same_measure

**Segments have the same length and angles have the same measure**? ... The
answer to, "Segments that have the same length" Is Congruent Segments! Edit.

www.mathopenref.com/congruentlines.html

Line **segments** are congruent if they **have the same length**. However, they **need**
not be parallel. They can be at any **angle** or orientation on the plane.

www.mathopenref.com/congruent.html

Two line **segments** are congruent if they **have the same length**. ... So if two
separate **angles have measures** of 30° and 23° for example, they are not
congruent ...

www.khanacademy.org/math/geometry-home/geometry-lines/basic-geo-measuring-segments/v/congruent-segments

How do we know if line **segments** are congruent? Let's watch this example of
counting points to see if they **have** the exact **same length**. Created by Sal Khan.

www.mathplanet.com/education/geometry/points,-lines,-planes-and-angles/measure-line-segments

The **length** of a line **segment** can be **measured** (unlike a line) because it **has** two
endpoints. ... Two lines could **have the same measure** but still not be identical.

math.stackexchange.com/questions/915914/what-is-the-difference-between-congruency-and-equality

Sep 1, 2014 **...** So, two figures are equal if they **have the same** points. ... I was taught to say two
line **segments** or two **angles** are equal if they **have the same measure**. ... two
figures are congruent if their corresponding parts are of the **same measurement**.
Ex. If two **segments have** equal **length**, then they are congruent.

slideplayer.com/slide/4491266

5 Congruent Polygons Congruent **segments have the same length** Congruent
**angles have the same measure** Congruent polygons **have the same** size and ...