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How many axis of symmetry does a right angle triangle has?
It depends. If it is a right isosceles triangle, it has one axis of symmetry (the line which would bisect the right angle). A right scalene triangle has no axis of symmetry.
Can the altitude from the vertex angle of an isosceles triangle be the median?
If the triangle is really isosceles, and it's not lying on one of the equal sides, then the altitude is always a median.
Is the three perpendicular bisector of a triangle intersect at a point in the exterior of the triangle true or false?
The three ANGLE bisectors of a triangle also bisect the sides, and intersect at a point INSIDE the triangle. The angle bisectors are not necessarily perpendicular to them. The perpendicular bisectors of the sides can intersect in a point either inside or outside the triangle, depending on the shape of the triangle.
How would you construct an isosceles triangle if only given the altitude to the base and a base angle?
Start with the altitude (height) and draw that. Draw the actual length of the altitude on your paper, or draw it to scale. Naturally you'll draw it down the middle of your paper parallel to the sides (perpendicular to the bottom) of your paper. Now that you have your altitude, draw a line perpendicular to it across the bottom. Your base will be on that, but we don't know how big it is yet. Let's work with your base angle, but indirectly. You have a vertical line perpendicular to another line. There are two right angles formed, one on each side of the vertical line. If you could draw in one side of your isosceles triangle, you'd have a right triangle that represents half your isosceles triangle. The altitude divides your isosceles triangle exactly in half down the middle. This right triangle will, like all triangles, have interior angles that add up (sum) to 180 degrees. Now we use the base angle. You have the 90 degree angle, and the base angle. That base angle and the "top" angle will add up to 90 degrees, and that's so that these two angles and the 90 angle where the altitude meets the base will add up to 180 degrees. That means the base angle and the top angle will have to add up to 90 degrees. Subtract your base angle from 90 degrees and you'll have your "top" angle. Get you protractor, place it at the top of your altitude, and mark the "top" angle. Now draw a line from the top of the altitude on this angle you set, and continue it to the base. That's one side of your triangle. Repeat this on the other side and your isosceles triangle will appear.
What does bisect mean in maths terms?
Bisect means to seperate or split something into equal parts , like an angle bisector splits an angle exactly in half
Does the altitude to the base of an isosceles triangle bisect the vertex angle?
bob
Does the angle bisector in a triangle bisect the opposite side?
Not necessarily. The only time that the angle bisector would bisect the opposite side is if you were bisecting the vertex angle of an isosceles triangle.
Is median of a triangle bisect it's angle?
The median of a triangle bisects its side
How do you bisect an obtuse angle?
In the same way that you bisect an acute triangle. Alternatively, you could extend one of the rays of the obtuse angle so that you have an acute angle. Bisect that angle and then draw a perpendicular to the bisector of the acute angle through the vertex.
Do the medians of a triangle bisect the internal angles?
Not always. 1. The median to the base of an isosceles triangle bisects the vertex angle. 2. When the triangle is an equilateral triangle, then the medians bisect the interior angles of the triangle.
What are the angle bisectiors of a triangle?
They are lines, through the vertices of a triangle, that bisect (divide into two halves) the angles of the triangle.
If you extend a ray that bisects an angle of a triangle so that it passes through the opposite side will it bisect the opposite side?
Only in an equilateral triangle will bisectors of the three angles bisect the opposite sides. In an isosceles triangle, only the bisector of the one different angle will bisect the opposite side (between the identical angles).
How many axis of symmetry does a right angle triangle has?
It depends. If it is a right isosceles triangle, it has one axis of symmetry (the line which would bisect the right angle). A right scalene triangle has no axis of symmetry.
What triangle has an altitude which is also a median and angle bisector?
An isosceles or an equilateral triangle perhaps?
Is median is a angle bisector?
A median is a line drawn from the centre of a side of a triangle to the opposite vertex. Only in two cases does it also bisect the angle :- 1) All three medians of an equilateral triangle bisect the angle of the opposite vertex. 2) One median (from the unequal side to the enclosed angle of the two equal sides) bisects the angle of the opposite vertex.
When you trisect a right angle you first construct what kind of triangle?
To trisect a right angle form an equilateral triangle with one vertex at the right angle and then bisect that angle of the equilateral triangle. (It is impossible to trisect a general angle using only compass and straight edge - the right angle is a specific exception.)
What word starts with bi and means cut into 2 pieces?
bisect The line bisects the angle
