Saccheri Quadrilaterals
A saccheri quadrilateral is one of the quadrilaterals
. Saccheri quadrilaterals is defined the two parallel sides are perpendicular to the quadrilateral base. Any quadrilateral has four sides and four vertices. Quadrilaterals are called one of the polygons. The quadrilaterals item names are square, rectangle, parallelogram rhombus, trapezoid and kite. Next we discuss about this articles saccheri quadrilaterals.
Saccheri Quadrilaterals
Saccheri quadrilaterals have four sides and four vertices. Diagonals of the saccheri quadrilaterals are two. Saccheri quadrilaterals are separated by two triangles. The saccheri quadrilateral is generally declared the square and rectangle.
Square saccheri quadrilaterals
Square is one type of quadrilaterals. The square is a saccheri quadrilateral. Parallel side of square is perpendicular to the base. The following diagram is declaring the saccheri quadrilaterals.
structure of saccheri quadrilaterals
MNOP is a saccheri square. Angle N and angle O is the right angle. Square side MN is congruent to the side OP. Side MP is similar to the side NO.
Rectangle saccheri quadrilaterals
Rectangle is one type of quadrilaterals. The rectangle is a saccheri quadrilateral. Parallel side of rectangle is perpendicular to the base. The following diagram is declaring the saccheri quadrilaterals.
structure of saccheri quadrilaterals
MNOP is a saccheri rectangle. Angle N and angle O is the right angle. Rectangle side MN is congruent to the side OP. Side MP is similar to the side NO.
Example Problem of Saccheri Quadrilaterals
Problem 1: four line geometry
Calculate the area of the rectangle the length value is 9.7 cm and width of rectangle value is 5.4 cm?
Solution
The formula for area of rectangle is A = L * W
L = 9.7 cm
W = 5.4 cm
A = 9.7 * 5.4
A = 52.38
The area of the rectangle value is 52.38 cm.
Problem 2: four line geometry
Calculate the area of the square side value is 3.28 cm?
Solution
The formula for area of square is A = a2
a = 3.28 cm
A = 3.28 * 3.28
A = 10.7584
The area of the square value is 10.7854 cm.
A quadrilateral is four sided figure with four straight lines. Lines joining the opposite vertices are called diagonal of the quadrilateral. Square, rectangle, rhombus, parallelogram, trapezium are all quadrilateral. A quadrilateral has four vertices, four sides, four angles and two diagonals.Let us see some questions asked in quadrilaterals quiz.
Quadrilaterals Quiz.
1) The sum of the measures of the angles of a quadrilateral is always 360 degrees.
True
Ans: true
False
2) Which quadrilateral has only one pair of opposite sides parallel?
Kite
Parallelogram
Rhombus
Trapezoid (British: Trapezium)
Ans: Trapezoid.
3) A quadrilateral with four equal right angles and two sets of parallel opposite sides that are equal.
Rectangle
Square
Ans: rectangle
Rhombus
Kite
4) Is the following statement sometimes true, always true or never true?
A four sided figure is a parallelogram
sometimes true
Ans: sometimes true
always true
never true
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5) Is the following statement sometimes true, always true or never true?
A rhombus is a square.
sometimes true
Ans: sometimes true
always true
never.
Quadrilaterals Quiz.
6) What word best describes a quadrilateral that has two pairs of adjacent
sides that are of equal length (no restriction on the angles)?
Kite
Parallelogram
Ans : kite
Rhombus
Trapezoid (British: Trapezium).
7) To be a square, a quadrilateral must be both ___.
A rhombus and a rectangle
Ans: a rhombus and a rectangle
A parallelogram and a rhombus
A rectangle and a parallelogram.
8) The diagonals of a quadrilateral bisect each other. Which is the most specific name for the quadrilateral.
Trapezoid
Parallelogram
Ans : parallelogram
Kite
None of the above
9) The sum of the measures of two consecutive sides of a parallelogram is 24 cm. Find its perimeter.
Perimeter= 2 (l+b)
=2 x 24 = 48 cm
10) In a rectangle the diagonals form -------- congruent triangles
two
four
Ans: two
zero
11) If one angle A of a parallelogram ABCD is 100 deg, find the other angles?
A=100 deg
C= 100 deg (opposite angles property)
B= 80 deg (adjacent angles in a parallelogram are supplementary)
D= 80 deg (opposite angles property).
12) HELP is a rectangle. The diagonals meet at O. Find x if OH=2x+4 and OP=3x+1
Diagonals of a rectangle are equal. Hence their halves are equal.
2x+4=3x+1
x=3
13) The diagonals of quadrilateral JKLM are congruent. What quadrilaterals
always meet this condition? What quadrilaterals sometimes meet this
condition?
Rectangles, squares, isosceles trapezoid meet these conditions always.
Parallelogram and rhombus meet these conditions sometimes.
All the best for the quadrilaterals quiz.
by: mathqa
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