0
A quadrilateral is "guaranteed" to be a parallelogram if
(a) the opposite side are parallel, or
(b) any line segment perpendicular to one side and intersecting the opposite side is also perpendicular to the opposite side, or
(c) any line segment perpendicular to one side and intersecting the opposite side has the same length as any other such perpendicular line intersecting the opposite side (sometimes vaguely expressed as "opposite sides are everywhere equidistant"), or
(d) the angles at the two ends of any side add up to 180 degrees.
What else can I help you with?
What Condition in which the gametes are similar in shape but different in size?
it is anisogamy
What are the three factors that contribute to the depreciation of a vehicle?
milage, interior condition, exterior condition
Set of points satisfying a condition?
This is called the locus.
Is junction abstract noun?
Yes, "junction" is an abstract noun as it refers to the concept or state of joining or connecting different elements, rather than a physical object. It denotes an idea or condition, such as the intersection of paths or ideas, which cannot be perceived through the senses in the same way as concrete nouns.
Is there ASS congruence condition in maths?
The answer is Yes and No both! In the condition ASS, expand it as Angle-Side1-Side2. Now, Two triangles are said to be congruent if and only if there is only a single triangle which can be constructed through those given conditions.For e.g. in SSS congruency only a single triangle can be constructed through given three sides in the congruency condition. Here, if a triangle is constructed with a base side(Side1) and base angle (Angle), then the condition is based on the length of the third element (Side2). If side 2 is longer than side1, then two triangles are possible, but not if side2 is longer than Side1. So, it depends on on second Side of the congruency condition.
Which description does not guarantee that a quadrilateral is a parallelogram?
A description that states a quadrilateral has one pair of opposite sides that are both equal and parallel does not guarantee that it is a parallelogram. While this condition is sufficient for proving that a quadrilateral is a parallelogram, it is not necessary; other configurations might exist where a quadrilateral meets this condition without being a parallelogram. Other descriptions, such as having both pairs of opposite sides equal or both pairs of opposite angles equal, would guarantee it is a parallelogram.
Condition which garanty that a quadrilateral is parallelogram?
The condition for being a parallelogram is that both pairs of opposite sides must be parallel.The condition for being a parallelogram is that both pairs of opposite sides must be parallel.The condition for being a parallelogram is that both pairs of opposite sides must be parallel.The condition for being a parallelogram is that both pairs of opposite sides must be parallel.
What is the relationship of the second sentence to the first in If a quadrilateral is a square then it is a parallelogram. 2. A quadrilateral is a square if and only if it is a parallelogram.?
The second sentence reiterates the relationship established in the first sentence but adds a stronger condition. The first sentence indicates that being a square implies being a parallelogram, while the second sentence specifies that the two properties are equivalent—meaning a quadrilateral is a square if and only if it is a parallelogram. This indicates a bidirectional relationship between the two concepts.
Which of the following is not a sufficient condition for concluding a quadrilateral is a parallelogram?
at least one pair of opposite sides is parallel
Can a quadrilateral abcd be aparallelogram if angle d plus angle b equals 180?
Yes, a quadrilateral ABCD can be a parallelogram if angle D plus angle B equals 180 degrees. In a parallelogram, opposite angles are equal, and consecutive angles are supplementary (their sum equals 180 degrees). Therefore, if angle D and angle B are supplementary, it is consistent with the properties of a parallelogram. Thus, the condition does not contradict the definition of a parallelogram.
Does a parallelogram have at least one pair of parallel lines?
Yes, a parallelogram has two pairs of parallel lines. By definition, a parallelogram is a quadrilateral with opposite sides that are both equal in length and parallel to each other. Therefore, it inherently possesses at least one pair of parallel sides, fulfilling the condition.
How are squares and rectangles paraellograms?
A parallelogram is any quadrilateral in which both sets of opposite sides are parallel, or will never intersect. Squares and rectangles (both quadrilaterals) satisfy that condition, and so would rhombus.
Which condition is sufficient to show that a quadrilateral is a trapezoid?
That it has 4 sides and a pair of parallel sides of different lengths
Can a trapezoid be a rectangle and why?
NO. A trapezoid cannot be a rectangle. If a parallelogram has one right angle then it is a rectangle. A trapezoid doesn't satisfy this condition because a trapezoid is a quadrilateral with exactly one parallel side which means that it doesn't have a right angle.
What condition would a parallelogram also be a rectangle?
A rectangle is a parallelogram where all internal angles are equal at 90°
Is a square a special type of parallelogram?
Yes, a square is a special type of parallelogram. Every square has two pairs of parallel sides, which is the condition for being a parallelogram.
A quadrilateral with 4 congruent sides and 2 distinct pairs of congruent angles?
The quadrilateral described is a rhombus. A rhombus has all four sides of equal length and opposite angles that are congruent, with adjacent angles being supplementary. This means it can have two distinct pairs of congruent angles, satisfying the condition mentioned. Additionally, a rhombus can be considered a special type of parallelogram.
