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# Is this True or false the angle bisector of the vertex angle of an isosceles triangle is also the perpendicular bisector of the base?

# What Angle bisector of a triangle?

An angle is formed by two rays with a common endpoint. The angle bisector is a ray or line segment that bisects the angle, creating two congruent angles. To construct an angle… bisector you need a compass and straightedge. Bisectors are very important in identifying corresponding parts of similar triangles and in solving proofs.

# Which types of triangles must always have at least one angle bisector that is also a perpendicular bisector?

iscoceles triangle! =)

# Which type of triangle will always have 3 angle bisectors that are also perpendicular bisectors?

equalateral

# What triangle must always have at least one angle bisector that is also a perpendicular bisector?

any isosceles triangle

# What is the measure of the vertex angle of an isosceles triangle if one of its base angle measure 54?

Since you know one base angle is 54 then the other base angle is also 54 making a total of 108. Since a triangle is 180, your vertex angle is 72.

# What is the measure of the vertex angle of an isosceles triangle if one of its base angles measures 58?

One of the base angle is 58 deg so the other base angle is 58 deg.Sum of all three angles is 180 deg so the third angle (the vertex angle) is 180 - 58 - 58 = 64 degrees.

# Where can the bisectors of the angles of an obtuse triangle intersect?

inside the triangle ;) hope this helps!!

# How do the Triangle-Angle Bisector Theorem and the Angle Bisector Theorem differ?

They are the same concept, one for the angle and 1 for triangle. Definition of a triangle angle bisector is a line segment that bisects one of the vertex angles of a triangl…e. Definition of an angle bisector is a ray or line segment that bisects the angle, creating two congruent angles.

# How is constructing a perpendicular bisector similar to constructing an angle bisector?

Basically, you do almost the same thing to construct a perpendicular bisector as an angle bisector: you pick two points, equidistant from the vertex and draw short arcs from t…hose points into the middle of the angle. Draw a line between the vertex and the point of intersection of the two arcs and there's your angle bisector! You do almost the same for a perpendicular bisector, except you have to draw arcs on both sides of the line and draw a line between the two points of intersection. I'm sorry if this explanation is a little confusing. If you're having trouble, check this website out: See Related Link

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In Geometry

# What are the similarities between angle bisector and perpendicular bisector?

Similarities between angle bisector and perpendicular bisector: Perpendicular bisector bisects a line segment into two equal parts at 90°. Angle bisector bisects an creat…ing two congruent angles they both bisect into equal parts! =)

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In Geometry

# If the bisector of the vertical angle of the triangle bisects the base prove that the triangle is isosceles?

show that the bisector of the vertical angle of an isosceles triangle bisects the base

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# What is the vertex angle on an isosceles triangle?

the top angle the angle formed by the two congruent sides

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# How is constructing a perpendicular bisector different to constructing an angle bisector?

A perpendicular bisector is a straight line that divides a side of a triangle in two and is at right angles to that side. An angle bisector is a straight line that divides an …angle of a triangle in two.

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In Geometry

# What is bisector of an angle?

Bisector of an angle in basically a line which is drawn from the vertex of the angle and bisect's or cuts the angle into 2 halves. For example we have angle PQR and if we cut… a bisector through it then like: QS then SQR = 1/2*PQR