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If segment ab is congruent to segment bc then angle a is congruent to angle c by what?

true


What are the segments of equal lengths called?

If two segments are of equal length, then we call them congruent segments. Congruency is used when we do not know the specific length or measure, but instead we are dealing with unknown values. In other words, if I know that segment AB=8, I cannot say that AB is congruent to 8 since 8 is a specific value. I could say that segment AB is congruent to another segment, maybe segment BC but it would be improper to say that a segment is congruent to a specific value.


Figure abc is rectangle. segment AB is 6cm long , segment BC is 8 cm long , and segment AC is 10 cm long. what is the area of triangle abc?

28


Angle bisector of angleA of triangleABC is perpendicular to BC prove it is isosceles?

Let D represent the point on BC where the bisector of A intersects BC. Because AD bisects angle A, angle BAD is congruent to CAD. Because AD is perpendicular to BC, angle ADB is congruent to ADC (both are right angles). The line segment is congruent to itself. By angle-side-angle (ASA), we know that triangle ADB is congruent to triangle ADC. Therefore line segment AB is congruent to AC, so triangle ABC is isosceles.


In the straightedge and compass construction of an equilateral triangle below which of the following reasons can you use to prove that and are congruent?

AB and BC are both radii of B. To prove that AB and AC are congruent: "AC and AB are both radii of B." Apex.


What is a segment addition postulate?

Ab+bc=ac


What else would need to be congruent to show that abc xyz by sas?

Line segment BC is congruent to Line Segment YZ


In the straightedge and compass construction of the equilateral triangle below reasons can you use to prove that ab and BC are congruent?

In the construction of an equilateral triangle, you can prove that segments AB and BC are congruent by using the fact that all sides of an equilateral triangle are equal by definition. Additionally, when constructing the triangle using a compass, the same radius is used to create the arcs that define points B and C from point A, ensuring that AB = AC = BC. Thus, by the definition of an equilateral triangle and the properties of congruent segments created during the construction, AB and BC are congruent.


The length of segment AC is 78 millimeters if BC is 29 millimeters then what is the length of segment AB?

To find the length of segment AB, we can use the segment addition postulate, which states that the total length of a segment is equal to the sum of the lengths of its parts. Therefore, AB + BC = AC. Given that AC = 78 mm and BC = 29 mm, we can substitute these values into the equation to find AB: AB + 29 = 78. Solving for AB, we get AB = 78 - 29 = 49 mm.


What is AB plus BC equals AC an example of?

AB plus BC equals AC is an example of the Segment Addition Postulate in geometry. This postulate states that if point B lies on line segment AC, then the sum of the lengths of segments AB and BC is equal to the length of segment AC. It illustrates the relationship between points and segments on a line.


Segment ab equals 9 segment bc equals 12 what is the hypotenuse of right triangle abc?

15


In the parallelogram ABCD name three pairs of congruent angles and three pairs of congruent sides?

If the parallelogram is a square then angle A is congruent to angle B ,is congruent to angle C. AB is congruent to BC is congruent to CD.