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What triangle has one right angle and two congruent sides?
That's an isosceles right triangle.
What type of triangle that has at least two congruent sides and one right angle?
right angled isosceles triangle
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.
Why does the acute angles in an isosceles right triangle always measures 45 degrees?
The question lists three facts: "triangle", "right", and "isosceles". Each fact carries important information. -- "triangle" ... The three angles in any triangle always add up to 180 degrees -- "right" ... One angle in a right triangle must be a right angle = 90 degrees. That leaves the other 90 degrees for the other two angles to share. -- "isosceles" ... Two of the angles in an isosceles triangle are equal. If there are 90 degrees to share between them, then each of them is 45 degrees.
How many pairs of perpendicular lines does an isosceles triangle have?
There can be only one pair of perpendicular lines in an isosceles triangle when it is a right angled isosceles triangle. A non right angled isosceles triangle has no pairs of perpendicular lines.
