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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.
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
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
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.
Are the diagonals of a rectangle congruent always?
Yes. You can show this by SAS of two right triangles. Consider rectangle ABCD. AD and BC are the same length and AC and BD are the same length because opposite sides are congruent. The angles ADC and BCD are congruent since it is a rectangle and the angles are right angles. So the triangles ADC and BCD are congruent and their hypotenuses (the diagonals of the rectangles) are congruent.
Do angles abc make a right angle?
Angle abc will form a right angle if and only if, segment ab is perpendicular to segment bc.
What is the difference between midpoint and the midpoint theorem?
mdpt: point line or plane that bisects a line so that AB=BC. mdpt theorem: point or plane that bisects a line so that AB is congruent to BC.
