Yes
False
Congruence is normally defined for shapes and not angles. Two triangles are called congruent if they same angles.Two angles of isosceles triangle (facing the sides of equal length) are equal to each other.Yes, by definition.
Someone correct me if I am wrong, but I don't believe triangles can be "equal", only congruent. The measurements can be equal, but not the triangle itself.The triangle congruency postulates and theorems are:Side/Side/Side Postulate - If all three sides of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Angle/Side/Angle Postulate - If two angles and a side included within those angles of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Side/Angle/Side Postulate - If two sides and an angle included within those sides of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Angle/Angle/Side Theorem - If two angles and an unincluded side of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Hypotenuse/Leg Theorem - (right triangles only) If the hypotenuse and a leg of a right triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
There are three measurable angles within a triangle, and within a equilateral triangle there are thee equal angles, each measuring 60o .
If it doesn't have congruent angles, it's not an isosceles triangle.
Yes
False
Congruence is normally defined for shapes and not angles. Two triangles are called congruent if they same angles.Two angles of isosceles triangle (facing the sides of equal length) are equal to each other.Yes, by definition.
Someone correct me if I am wrong, but I don't believe triangles can be "equal", only congruent. The measurements can be equal, but not the triangle itself.The triangle congruency postulates and theorems are:Side/Side/Side Postulate - If all three sides of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Angle/Side/Angle Postulate - If two angles and a side included within those angles of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Side/Angle/Side Postulate - If two sides and an angle included within those sides of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Angle/Angle/Side Theorem - If two angles and an unincluded side of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.Hypotenuse/Leg Theorem - (right triangles only) If the hypotenuse and a leg of a right triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
There are three measurable angles within a triangle, and within a equilateral triangle there are thee equal angles, each measuring 60o .
If your question is "what is an [space] Isosceles triangle?" then... an Isosceles triangle is one where two of its sides are the same length while the third is either longer or shorter. Additionally, two of the angles are the same. if all three sides are the same length, it is an "equilateral triangle" (the root "equal" is in there). Additionally, all angles in the triangle are the same. if all three sides are different lengths, the triangle is called a "scalene triangle." additionally, all angles within the triangle are different. now, if your question is "what is an anisosceles triangle?" well... technically there is no such word, however, it isn't a nonsensical word. that is, if you break it down, it does have a meaning. the root "iso" means 'the same' (this is why an isosceles triangle is called what it is). when the prefix 'an' is added to a word, it means 'not.' so an anisosceles triangle, when broken down phonetically means "not a triangle with 2 equal sides." this could mean it is either equilateral or scalene, but not an isosceles. (but remember, this is not an actual term used, so...)
There are normally no parallelograms within an isosceles triangle unless you put them there yourself.
If you are dealing with an isosceles triangle, if one of the base angles measures 42 degrees then the other base angle measures 42 degrees. (By definitioin an isosceles triangle has at least 2 equal sides and the angle opposite those sides with be equal.) If you add up the degrees in each angle within a triangle, it will always equal 180 degrees. Knowing all this you can set up a formula: Angle 1 + Angle 2 + Angle 3 = 180 42 + 42 + Angle 3 = 180 Angle 3 = 96 degrees
The sum of all inner angles within a triangle is 180 degrees.
Yes. It always does, in every triangle.
The answer will depend on how the triangle is situated within the rectangle (how many of the triangle's vertices coincide with those of the rectangle), and what other information you have.