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1 Acute angles are greater than 0 but less than 90 degrees
2 Base angles of an isosceles triangle are equal
3 Complementary angles add up to 90 degrees
4 Diagonals of a triangle don't exist
5 Equilateral triangles have equal sides and equal interior angles
6 Full rotation of angles around a triangle add up to 360 degrees
7 Greater the angle then greater the turn or rotation
8 Hexagon has 4 triangles within it
9 Isosceles triangle has 2 equal sides
10 Joint angles of 80 and 100 degrees are supplementary angles
11 Kite is a 4 sided quadrilateral whose diagonals intercept at right angles
12 L as a letter has a right angle which means 90 degrees
13 Minute is 1/60 of a degree
14 Nonagon is a 9 sided polygon with 7 triangles within it
15 Obtuse angles are greater than 90 but less than 180 degrees
16 Perpendicular lines meet at right angles
17 Quadrilaterals can be divided into 2 triangles
18 Reflex angles are greater than 180 but less than 360 degrees
19 Scalene triangle has 3 unequal sides and 3 unequal acute angles
20 Triangles have 3 sides and 3 interior angles that add up to 180 degrees
21 Undecagon is an 11 sided polygon having 9 triangles within it
22 Vertical opposite angles are equal
23 West is 90 degrees from south or 270 degrees from north
24 X as a letter creates vertical opposite equal angles
25 Y axis meets the X axis at right angles on the Cartesian plane
26 Z as a letter creates equal alternate angles
QED by David Gambell
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Do isosceles triangles have exactly two acute angles?
Answer: Yes, because of the two angles have to be exactly equal in order to be isosceles. And no isosceles has 3 acute angles and then it will be equilateral triangle Answer: No, the isosceles triangle can either have two acute angles, or all three can be acute.
What triangle is congruent?
A single triangle would not be described as congruent, you have to have at least two triangles in order for congruency to be possible. Congruent triangles are the same. Their sides are all the same length, and their angles are all the same number of degrees. They are mathematically identical. That's what the term congruent means.
How do you find the side of a right triangle with the angle measurements?
You can't, if you only know the angles. There are an infinite number of right triangles of all sizes, that all have the same set of angles. In order to find the length of any side, you must know at least the length of one side, in addition to the angles on both ends of the known side.
How do their areas triangles compare?
I'll be happy to help you, but in order for me to compare the areas of those triangles, you have to tell me the areas of those triangles.
When are two triangles said to be congruent?
Congruent means the same size and shape. Two triangles are congruent if the 3 sides and 3 angles of one are equal to the respective sides and angles, in order, of the other. Thus the triangles ABC and DEF are congruent if the lengths of AB and DE are equal, as well as BC and EF, and CA and FD, and the angle at A equals the angle at D, likewise that at B and at E, and of course if those two are true, the angle at C must equal the one at F since the 3 angles in a triangle always add up to 180 degrees. Two triangles are congruent if you can rigidly move one to exactly coincide with the other. It might be necessary to rotate it through 3-dimensional space, if the triangles are mirror images of each other. There are some theorems that give criteria that guarantee triangles to be congruent. One is side-side-side, abbreviated SSS, meaning that if the sides of two triangles, in order, are equal, so are the angles. Another is SAS, meaning two sides of one triangle and the angle included between them are equal to the corresponding parts of the other. If 2 of the angles of two triangles are the same (AA), so is the third, and the triangles are similar (same shape, but not necessarily the same size). Then all you need is that one side and the corresponding side in the other triangle are equal to prove congruence. There is one ambiguous case: SSA. Depending on the length of the side opposite the given angle, there may be 0, 1, or 2 different (non-congruent) triangles having the given part measures: 0 if the side is too short, 1 if it is the length of the perpendicular to the other side, and 2 if it is longer than that. Answer 1 ======= When they both have the same 3 interior angles and the same length of sides
What are similar triangles?
Triangles that are the same shape but not the same size. In order to be a similar triangle, their numbers have to form proportions with the numbers of the similar triangle.
Do isosceles triangles have exactly two acute angles?
Answer: Yes, because of the two angles have to be exactly equal in order to be isosceles. And no isosceles has 3 acute angles and then it will be equilateral triangle Answer: No, the isosceles triangle can either have two acute angles, or all three can be acute.
In two triangles have a congruent angle and two congruent angle and two congruent sides then the triangles are guaranteed to be congruent?
Yes, if two triangles have two congruent angles and two congruent sides then the triangles are guaranteed to be congruent. They only need two angles and one side congruent or two sides and one angle in order to be congruent.
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.
What are facts about ancient Egypt in alphabetical order?
They worshiped cats
What is Asa for congruence?
If a side and two angles at either end of it (Angle-Side-Angle = ASA) of one triangle are the same measure as that of another triangle, then the two triangles are congruent. In fact, it does not have to be the angles at the ends of the sides in question since two angles being equal means that the third pair of angle will also be equal. So as long as the ASA are in corresponding order, the triangles will be congruent.
What defines a congruent triangle?
All corresponding sides and all interior angles are congruent. But in order to have a congruent triangle, we need two or more triangles that fit these requirements.
It appears from the name of the HL Theorem that you actually need to know that only two parts of two triangles are congruent in order to prove two triangles congruent Is this the case?
No. You can know all three angles of both and all you can say is that the triangles are similar. Or with any pair of congruent sides you can have an acute angle between them or an obtuse angle.
What triangle is congruent?
A single triangle would not be described as congruent, you have to have at least two triangles in order for congruency to be possible. Congruent triangles are the same. Their sides are all the same length, and their angles are all the same number of degrees. They are mathematically identical. That's what the term congruent means.
How do you make a trapezoid with four triangle?
This question depends on the exact shapes of the triangles in question. If they have right angles and are congruent, place them in this order: up and facing left; up and facing right; down and facing left; up and facing right. The two middle triangles form a square.
What information do you need to know in order to prove the triangles are congruent?
That the sides are equal in length and the interior angles are the same sizes
How do you find the side of a right triangle with the angle measurements?
You can't, if you only know the angles. There are an infinite number of right triangles of all sizes, that all have the same set of angles. In order to find the length of any side, you must know at least the length of one side, in addition to the angles on both ends of the known side.
