A triangle is a geometric shape that always has three sides and three angles. Triangles have zero pairs of parallel lines. They usually have zero pairs of perpendicular lines.
How many parallel sides can a triangle?
A | B |
---|---|
How many pairs of parallel lines does a square have? | A square has 2 pairs of parallel lines. |
How many pairs of parallel lines does a triangle have? | A triangle has no parallel lines. |
What polygon has six sides and six angles? | HEXA = 6 so a hexagon has 6 sides and six angles. |
Can a triangle have three parallel sides?
None. Parallel lines are lines that will never cross each other, no matter how long you make them.
Can any 2 sides of triangle be parallel?
Answer: a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally. If ¯DE∥¯BC , then ADDB=AEEC . … The lines ¯QR and ¯ST are parallel.
Do all Rhombuses have 2 pairs of parallel sides?
Every rhombus has two diagonals connecting pairs of opposite vertices, and two pairs of parallel sides.
What are parallel sides?
Definition of Parallel
Two sides or lines are parallel if they are lines that are always the same distance from each other and will never intersect or touch. … That is what it means to be parallel.
How do you know if a triangle is parallel?
Triangle Proportionality Theorem Converse: If a line divides two sides of a triangle proportionally, then it is parallel to the third side.
When a line is drawn parallel to one side of a?
Theorem 6.1: If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.
What has 2 pairs of parallel sides?
Name | Definition | Example |
---|---|---|
Parallelogram | 2 pairs of parallel sides | Created with Raphaël |
Trapezoid | Exactly 1 pair of parallel sides | Created with Raphaël |
Rectangle | 4 right angles | Created with Raphaël |
Rhombus | 4 equal sides | Created with Raphaël |
Is a diamond a rhombus yes or no?
A diamond is a quadrilateral, a 2-dimensional flat figure that has four closed, straight sides. But a diamond is also categorized as rhombus, because it has four equal sides and its opposite angles are equal. And, because its opposite sides are parallel, it’s also considered to be a parallelogram.
What figure has 2 pairs of parallel sides?
Parallelogram: A quadrilateral with 2 pairs of parallel sides.
What shapes have no parallel sides?
Triangles are shapes that have no parallel sides. All triangles will have three sides and it is impossible for any of them to be parallel. If two lines out of three were parallel, it would be impossible to draw the shape.
What are the examples of parallel lines?
The real-life examples of parallel lines include railroad tracks, the edges of sidewalks, rails of a ladder, never-ending rail tracks, opposite sides of a ruler, opposite edges of a pen, eraser, etc.
What is the shape with 5 sides?
A pentagon is a shape with 5 sides and 5 angles.
What happens when 2 lines are parallel in a triangle?
If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides those sides proportionally.
How do you prove two sides parallel?
Theorem 3.6 Alternate Interior Angles Converse If two lines are cut by a transversal so the alternate interior angles are congruent, then the lines are parallel. If two lines are cut by a transversal so the alternate exterior angles are congruent, then the lines are parallel.
What are the 3 triangle similarity postulates?
You also can apply the three triangle similarity theorems, known as Angle – Angle (AA), Side – Angle – Side (SAS) or Side – Side – Side (SSS), to determine if two triangles are similar.
What are the 3 triangle similarity theorems?
- AA Theorem.
- SAS Theorem.
- SSS Theorem.
Are triangles with parallel sides similar?
When a line is drawn parallel to one side in a triangle, two similar triangles are formed because corresponding angles yield the AA similarity shortcut. Because the triangles are similar, the segments formed by the parallel line are proportional segments.
Is drawn parallel to one side of a triangle?
BPT (Basic proportional theorem) states that if a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points then the other two sides are divided in the present ratio.
Which theorem states that a line drawn parallel to any of the sides of a triangle divides the other two sides proportionally?
If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.
What is triangle proportionality theorem?
If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.
What shape has 5 pairs of opposite sides parallel?
The Parallelogram
A parallelogram has opposite sides parallel and equal in length.
What has only one pair of parallel lines?
A trapezoid has one pair of parallel sides and a parallelogram has two pairs of parallel sides.
What is the name of the shape that has 4 sides?
Definition: A quadrilateral is a polygon with 4 sides. A diagonal of a quadrilat- eral is a line segment whose end-points are opposite vertices of the quadrilateral.
Is a square a trapezoid?
Since a square has 4 right angles, it can also be classified as a rectangle. … The opposite sides are parallel so a square can also be classified as a parallelogram. If it is classified as a parallelogram then it is also classified as a trapezoid.
Is kite a shape?
Explanation: A kite is a four-sided shape with straight sides that has two pairs of sides. Each pair of adjacent sides are equal in length. A square is also considered a kite.
Is a kite a trapezoid?
A kite is a quadrilateral with two pairs of adjacent sides of identical length. … A trapezoid (British: trapezium) can be a kite, but only if is also a rhombus. An isosceles trapezoid can be a kite, but only if it is also a square.
What is a shape with 4 sides and no right angles?
Therefore, we can conclude that a quadrilateral with four equal sides and no right angles can be called a rhombus.
How many parallel sides are in a pentagon?
Regular pentagons do not have parallel sides. Just like any regular polygon, going around a pentagon completes one full circle, so the exterior angles are found by dividing 360° by the number of sides, in this case, 360°5 = 72° 360 ° 5 = 72 ° .
What is a pentagon shape?
In geometry, a pentagon (from the Greek πέντε pente meaning five and γωνία gonia meaning angle) is any five-sided polygon or 5-gon. The sum of the internal angles in a simple pentagon is 540°. A pentagon may be simple or self-intersecting. A self-intersecting regular pentagon (or star pentagon) is called a pentagram.
Do kites have parallel sides?
No, a kite is not a parallelogram because the opposite sides in a parallelogram are always parallel, whereas, in a kite, only the adjacent sides are equal, and there are no parallel sides.
What shape has 4 sides and no parallel sides?
Explanation: The American term for such a quadrilateral is a trapezium, and the British term is a trapezoid. It is a quadrilateral that has no parallel sides.
How many parallel sides does a circle have?
Only TWO. A circle is an infinitely long line. There are only two sides of any line. Therefore the Circle has only TWO sides.