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To construct a perpendicular bisector to a given line segment one must construct two?
Equilateral triangles
If triangle ABC is congruent to triangle bcd then triangles ABC and bcd are what kinds of triangles?
The 2 triangles can be of any type (e.g isosceles, equilateral, etc.), only they must be exactly the same if they are congruent, i.e one triangle must be an exact copy of the other one.
Are congruent triangles similar?
Yes, similar triangles are congruent because in order to be congruent they must first be equal. Which in turn is the definition of a similar triangle. A triangle equal in angle measurements and/or side lengths. So, yes.
Can any two triangles be joined to make a rhombus?
No. A rhombus has all four sides of equal length. To split a rhombus into only 2 triangles, it must be split along a diagonal; which means that 2 of the sides of one of the triangles must be the same length as the sides of the rhombus, which being equal mean the triangles must be (at least) isosceles - scalene triangles will not work. Further, as the diagonal will be a common length to each of the triangles (the length of their third sides), it will form the base (ie the side opposite the vertex between the sides of equal length) of the isosceles triangles, and so the triangles must be to congruent isosceles triangles. If the diagonal has the same length as the side of the rhombus, then the two congruent triangles will be congruent equilateral triangles.
Are similar triangles always congruent?
No, congruent triangles are always similar but similar triangles and not always congruent. Imagine that similar triangles can be created on a copy machine enlarge and shrink the image, turn it, even turn it over, the angles remain the same. A congruent triangle must be exactly the same as the original. Hope this helps!
Equilateral triangles must also be?
equiangular.
Are all right triangles equilateral triangles?
no. In fact a right angled triangle cannot be equilateral. An equilateral triangle is also equiangular: that is, all its angles are equal. The sum of all three angles of a [plane] triangle must be 180 degrees and so they cannot be 90 deg each.
Are congruent triangles similar?
Yes, similar triangles are congruent because in order to be congruent they must first be equal. Which in turn is the definition of a similar triangle. A triangle equal in angle measurements and/or side lengths. So, yes.
Are all isosceles right triangles congruent?
Yes- but not all isosceles triangles are right triangles. Isosceles means that two sides are the same length, and two angles are the same.
How many degrees does a Traiangle have?
All angle in a triangle add up to 180o. In an equilateral triangle, each of the three angles is equal to 60o; in isosceles triangles, two angles are equal; in scalene triangles, none are the same; in right-angled triangles, one of them must be 90o.
Explain in the pythagorean theorem must be a right triangle?
yes it only apllies to the right triangle and "c" is the hypotnuse of the triangles
What type of angles do equilateral triangles have?
All angles of an equilateral triangle are congruent, in other words, they all have the same angle measure. Since these three equal angles must add up to 180 degrees, each angle must have the measure of 60 degrees. This is because 60 X 3 = 180 degrees. So, the angles of an equilateral triangle are all equal to 60 degrees. An angle that is less than 90 degrees is an acute angle, and since 60 is less that 90, the angles of an equilateral triangle are acute.
Does Triangle has three equal sides?
A Triangle has THREE sides. ; not necessarily equal . However, triangles are then sub-divided into ;- EQUILATERAL ; All three sides are the same length , and all three angles are 60 degrees. ISOSCELES ; Two sides are of equal length and two angles are of equal size. RIGHT-ANGLED ; All three sides can be of different length , or it can be an Isosceles triangles. However, there MUST be ONE RIGHT Angle (90 degrees). SCALENE ; All three sides are of different length , and all three angles are of different size.
Two right triangles that are not similar still may have one congruent acute angle in common?
Not so. The two acute angles of a right triangle must add up to 90 degrees.So if the triangles have one congruent acute angle in common, they must alsohave the other acute angle in common, and then they're similar.
This sort of triangle has three equal sides and three equal angles?
Equilateral triangles have three equal sides and three equal angles. By definition, the angles must always measure 60 degrees each.
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.
Who came up with the geometry postulate of sss sas asa and aas?
The SSS, ASA and SAA postulates together signify what conditions must be present for two triangles to be congruent. Do all of the conditions this postulates represent together have to be present for two triangles to be congruent ? Explain.
