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If two sides of a triangle are of equal lengths what does that say about the angles opposite those sides?
The base angles of an isosceles triangle that has two equal sides are equal.
Are all triangles equilateral?
No.Equilateral triangles must have equal angles (all 60 degrees) and equal length sides; there are also:Isosceles triangles which have two equal angles and two equal sides;Scalene triangles which have all three sides, and hence all three angles, of different lengths;Right angled triangles (which can have all sides of different lengths, or two sides of equal length) have (as the name suggests) one right angle. This means Pythagoras and the trigonometric ratios can be used on its side lengths.
If 3 corresponding angles of two triangles are of equal measure are the side lengths of equal measure also?
Not necessarily. You have described "similar" triangles. If you also know that any of the lengths of sides are of equal measure in addition to three angles (congruent), then the lengths of all of the sides are of equal measure. But with what you have given, consider, for example, two equilateral triangles, both have all angles equal to 60 degrees (satisfying the condition in your question). One of the triangles could have sides length 1 and the other with sides all of length 2.
Is there 4 angles in a parallelogram?
Yes, a parallelogram has four sides and four internal angles, the opposite side lengths are equal and the opposite angles are equal.
What facts about isosceles trapezoid?
It is a 4 sided quadrilateral Its base angles are equal in size It has 2 equal acute and 2 equal obtuse angles Its 4 angles add up to 360 degrees It has a pair of parallel sides of different lengths It has 1 line of symmetry Its perimeter is the sum of its 4 sides Its area is 0.5*(sum of parallel sides)*height
