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If two angles of a triangle are congruent then the sides opposite those angles may not be congruent?
False. They must be congruent.
What else would need to be congruent to show that jkl mno by aas?
AAS is equal to angle-angle-side, and is descriptive of a triangle. JKL and MNO would be the sides and angles of a triangle. The two sides must be congruent to the opposite angle.
What is a counter example for the statement congruent angles are always vertical angles?
Vertical angles must necessarily be congruent, however congruent angles do not necessarily have to be vertical angles. An example of congruent angles which are not vertical angles are the 3 interior angles of an equilateral triangle. These angles do not share the same vertex yet they are congruent.
What is a triangle with three sides called?
Since the question asks for sides, the answer would be an equilateral triangle. An equilateral triangle has three congruent sides.Of course, an equilateral triangle is also an equiangularone. All sides are the same length, so all three angles are 60° . Congruence is usually applied with respect to TWO triangles. If each triangle has three sides equal to the other triangle's three sides, then the triangles are congruent.equilateral
What is a triangle with 3 equal sides?
A triangle with 3 equal sides also must have three equal angles; this is called an equilateral triangle.
What are the rules for and isosceles triangle?
2 sides must be congruent and opposite those two sides must be congruent angles.
What is a triangle with all acute angles and exactly two congruent sides?
By Definition, a triangle with two Congruent Sides is an Isosceles Triangle. For ALL angles to be Acute, that is, LESS than 90o , the two opposite angles must be greater than 45o. Remember that the SUM of the angles in a Triangle must equal 180o.
If two angles of a triangle are congruent then the sides opposite those angles may not be congruent?
False. They must be congruent.
Does obtuse triangle have any angles congruent?
An obtuse triangle must have two acute angles and these can be congruent.
If a quadrilateral has four congruent sides but its adjacent angles are not congruent then the quadrilateral is a?
An impossibility. By definition a quadrilateral with 4 congruent sides must have congruent adjacent angles.
What quadrilaterals must have opposite sides that are congruent opposite angles that are congruent and adjacent angles that are congruent?
square and a rectangle
Are all pentagons similar?
No, similar pentagons (or any polygon for that matter) must have corresponding congruent angles and all sides must be proportional to its corresponding sides. For example, if a square with a triangle on it is a pentagon, then a regular pentagon would not be similar to it (because corresponding angles are not congruent).
How many sides of a triangle must be congruent to be considered an isosceles triangle?
2 sides
Where is there always a pair of non congruent sides?
In any triangle that is not equilateral, there will always be a pair of non-congruent sides. This is because, in a triangle, the lengths of the sides are determined by the angles opposite them; if one angle is different from the others, the sides opposite those angles must also be different in length. Hence, in scalene and isosceles triangles (where at least two sides are equal), there will always be at least one pair of sides that are not congruent.
Does an equilateral triangle have three congruent sides?
Yes, because "congruent" sides must be of equal length. The 3 sides of an equilateral triangle are all equal. Furthermore the three angles inside the triangle are all equal, so each one is 180 degrees divided by 3 = 60 degrees.
Similar triangles must have congruent angles and congruent sides?
False dood
Which of these statements describe properties of parallelograms?
Opposite sides are parallel, Consecutive angles are supplementary, Opposite angles are congruent, Opposite sides are congruent (APEX)
