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What is congruences?
the strongest relationship a pair of triangles can have is congruence. two segments or two angles are congruent when they have the same measures. congruent triangles have exactly the same size and shape.
Congruent triangles have the same shape and size because they will always have the same?
Congruent Triangles have the same angles and side length measures
What do you notice about the measures of pairs of vertical angles?
they are congruent: exactly equal
Can you draw an obtuse triangle with angles measuring 45 89 and 46 degrees?
Yes. Triangles can be classified by the measures of their angles asacute, right, or obtuse. An acute angle has a measure that is lessthan 90°. A right-angle measures exactly 90°. An obtuse angle hasa measure that is greater than 90°.
Is The sum of the measures of the interior angles of any quadrilateral is exactly 360?
That is correct
What is congruences?
the strongest relationship a pair of triangles can have is congruence. two segments or two angles are congruent when they have the same measures. congruent triangles have exactly the same size and shape.
What is the meaning of the congruent?
For line segments, or angles, it means they have the same measure. For more complicated geometric shapes, for example triangles, quadrilaterals, etc., it means that all corresponding sides and angles have the same measures.
Can two triangles be congruent if all three angles have exactly the same measures?
No, they cannot, because if you think about it, the sides can be different proportional lengths but have the same angle measures.
How many different isosceles triangles have at least one angle that measures exactly 20?
If one angle measures 20 degrees then the other two angles must each measure 80 degrees and many other similar or congruent isosceles triangles can have the same interior angles.
Do equilateral triangles have congruent interior angles?
Yes, equilateral triangles have congruent interior angles, and each of the three interior angles measures 60 degrees.
Are the angle measures of similar triangles different?
for two similar triangles , their corresponding angles are equal.
What geometric figures do not have any right angles or angles whose measures are larger than a right angle?
All triangles that are not right triangles.
How much angles are there in a triangle?
There are three angles in triangles, the measures of which total 180 degrees.
Why do similar triangles have the same trigonometric ratios?
Trigonometric ratios are characteristics of angles, not of lengths. And, by definition, the corresponding angles an similar triangles have the same measures.
which is the inverse of the following conditionalAll scalene triangles have three angles with distinct measures.?
If a triangle is not scalene, then the triangle does not have three angles with distinct measures.
What does it mean for angles and segments to be congruent?
Two angles are congruent if they both measure exactly the same number of degrees. Two line segments are congruent if they both have exactly the same length.
What do you know about the angles and the linesegments of triangles?
Triangles are joined together by 3 line segments Triangles have 3 interior angles that add up to 180 degrees Triangles have 3 exterior angles that add up to 360 degrees Triangles have no diagonals Triangles will tessellate Triangles can be scalene, obtuse, right angle, isosceles or equilateral Triangles have a perimeter which is the sum of their 3 sides
