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If the diagonals of a parallelogram are congruent the parallelogram may or may not be a rectangle?
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∙ 9y ago
False
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∙ 9y ago
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How do you prove that the diagonals and either base of an isosceles trapezoid form an isosceles triangle?
Consider the isosceles trapezium ABCD (going clockwise from top left) with AB parallel to CD. And let the diagonals intersect at O Since it is isosceles, AD = BC and <ADC = <BCD (the angles at the base BC). Now consider triangles ADC and BCD. AD = BC The side BC is common and the included angles are equal. So the two triangles are congruent. and therefore <ACD = <BDC Then, in triangle ODC, <OCD (=<ACD = <BDC) = <ODC ie ODC is an isosceles triangle. The triangle formed at the other base can be proven similarly, or by the fact that, because AB CD and the diagonals act as transversals, you have equal alternate angles.
What is the different between equal angles and congruent angles?
Two angles are congruent if they have the same shape and size, but are in different positions (for instance one may be rotated, flipped, or simply placed somewhere else). Equal is less precise term that just means the angles are the same. We often use equas to mean they have the same measure or number of degrees.
How do you draw all possible distinct area models to represent factors of 120?
The task, as described, is extremely difficult since there may be area models for more than two factors at a time. However, taking only rectangular areas and so only 2 factors at a time: Find the smallest factor of 120 = B1. Let L1 = 120/B1. Draw a rectangle with length = L1 units and breadth = B1 units. Find the next larger factor of 120, B2. Let L2 = 120/B2. If L2 ≤ B2 then stop. Otherwise draw a rectangle with length = L2 units and breadth = B2 units. Do the next smallest factor, and so on.
Mother's Day calendar 1960 through 2009?
Mother's Day calendar 1960 through 2009 is as follows (not UK): 1960 - May 8 1961 - May 14 1962 - May 13 1963 - May 12 1964 - May 10 1965 - May 9 1966 - May 8 1967 - May 14 1968 - May 12 1969 - May 11 1970 - May 10 1971 - May 9 1972 - May 14 1973 - May 13 1974 - May 12 1975 - May 11 1976 - May 9 1977 - May 8 1978 - May 14 1979 - May 13 1980 - May 11 1981 - May 10 1982 - May 9 1983 - May 8 1984 - May 13 1985 - May 12 1986 - May 11 1987 - May 10 1988 - May 8 1989 - May 14 1990 - May 13 1991 - May 12 1992 - May 10 1993 - May 9 1994 - May 8 1995 - May 14 1996 - May 12 1997 - May 11 1998 - May 10 1999 - May 9 2000 - May 14 2001 - May 13 2002 - May 12 2003 - May 11 2004 - May 9 2005 - May 8 2006 - May 14 2007 - May 13 2008 - May 11 2009 - May 10
What are the release dates for The Day After Tomorrow - 2004?
The Day After Tomorrow - 2004 was released on: Mexico: 17 May 2004 (Mexico City) (premiere) Germany: 21 May 2004 (Berlin) (premiere) USA: 24 May 2004 (New York City, New York) (premiere) Bahrain: 26 May 2004 Belgium: 26 May 2004 Egypt: 26 May 2004 France: 26 May 2004 Iceland: 26 May 2004 Indonesia: 26 May 2004 Israel: 26 May 2004 Kuwait: 26 May 2004 Philippines: 26 May 2004 Switzerland: 26 May 2004 (French speaking region) UK: 26 May 2004 (London) (premiere) United Arab Emirates: 26 May 2004 Argentina: 27 May 2004 Australia: 27 May 2004 Austria: 27 May 2004 Bolivia: 27 May 2004 Colombia: 27 May 2004 Croatia: 27 May 2004 Czech Republic: 27 May 2004 Dominican Republic: 27 May 2004 Germany: 27 May 2004 Hong Kong: 27 May 2004 Hungary: 27 May 2004 Jamaica: 27 May 2004 Lebanon: 27 May 2004 Malaysia: 27 May 2004 Netherlands: 27 May 2004 New Zealand: 27 May 2004 Peru: 27 May 2004 Portugal: 27 May 2004 Puerto Rico: 27 May 2004 Russia: 27 May 2004 Serbia: 27 May 2004 Singapore: 27 May 2004 Slovakia: 27 May 2004 Slovenia: 27 May 2004 Sweden: 27 May 2004 Switzerland: 27 May 2004 (German speaking region) UK: 27 May 2004 Brazil: 28 May 2004 Bulgaria: 28 May 2004 Canada: 28 May 2004 Chile: 28 May 2004 China: 28 May 2004 Denmark: 28 May 2004 Ecuador: 28 May 2004 Estonia: 28 May 2004 Finland: 28 May 2004 Greece: 28 May 2004 Guatemala: 28 May 2004 India: 28 May 2004 Ireland: 28 May 2004 Italy: 28 May 2004 Kazakhstan: 28 May 2004 Latvia: 28 May 2004 Lithuania: 28 May 2004 Mexico: 28 May 2004 Norway: 28 May 2004 Panama: 28 May 2004 Paraguay: 28 May 2004 Poland: 28 May 2004 Romania: 28 May 2004 South Africa: 28 May 2004 Spain: 28 May 2004 Switzerland: 28 May 2004 (Italian speaking region) Taiwan: 28 May 2004 Thailand: 28 May 2004 Trinidad and Tobago: 28 May 2004 Turkey: 28 May 2004 USA: 28 May 2004 Uruguay: 28 May 2004 Venezuela: 28 May 2004 Japan: 31 May 2004 (Tokyo) (premiere) South Korea: 4 June 2004 Japan: 5 June 2004
If the diagonals of a parallelogram are congruent then the parallelogram may or may not be a rectangle. A.True B.False?
True because the diagonals of a rectangle are equal in lengths
What type of parallelogram has 4 congruent angles but not necessarily 4 congruent sides?
:D I think that it is a rhombus cause a rhombus has four congruent sides but may not be a square or a rectangle.
Which group of quadrilaterals has diagonals that bisect their opposite angles?
Either a square or rectangle fit this description.
A parallelogram that has four congruent sides?
A parallelogram with four congruent sides may be either a square or a rhombus.
When can a parallelogram be a rectangle?
When all 4 corners are right angles. A parallelogram has two pairs of parallel sides. A rectangle has two pairs of parallel sides; therefore a rectangle is a parallelogram. A rectangle also has four 90° angles; a parallelogram does not necessarily have four 90° angles, therefore a parallelogram may, or may not, be a rectangle.
Are the diagonals of a kite equal in length?
From Wikipedia: '...a kite, or deltoid, is a quadrilateral with two disjoint pairs of congruent adjacent sides, in contrast to a parallelogram, where the congruent sides are opposite.' In other words, a kite consists of two isosceles triangles joined at the base. Beginning with a particular isosceles triangle, it will always be possible to construct from it one kite that has equal diagonals (given that the kite may be either convex or concave). Hence an infinite number of kites do have equal diagonals, but many do not. A notable example of a kite that does have equal diagonals is a square.
What is a four-sided polygon with opposite sides equal and parallel?
A parallelogram. (A rectangle if the angles are 90o)A parallelogram (which may also be a rectangle, if all four angles are equal to 90°)
What is a parallelogram whose sides are equal in length?
A parallelogram whose sides are equal in length is always a rhombus. In addition, it may be a rectangle. If it's a rectangle, then it's also a square.
Does a parallelogram have congurent sides?
Its opposite sides are congruent. Its adjacent sides may be but it's not necessary. If they are, then it's a special kind of parallelogram, called a 'rhombus'.
What is difference in sides between a rectangle and a parallelogram?
The intersecting lines of a rectangle are at ninety degrees while the intersecting lines that form a parallelogram may be greater than or less than ninety degrees.
What has 4 side that are not equal?
A quadrilateral. It may be a rectangle, parallelogram, trapezoid, or an irregular quadrilateral.
What shape has diagonals bisect each other what is the shape called?
A rhombus satisfies this. Also a rectangle. And a square (which is both a rhombus and a rectangle). There may be others.
