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How do you prove opposite angles of a parallelogram are congruent?
Wiki User
∙ 8y ago
Simply with a protractor and the 4 interior angles must add up to 360 degrees
Wiki User
∙ 8y ago
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What does a rhombus have to have to prove that it is a rhombus?
a parallelogram with opposite equal acute angles, opposite equal obtuse angles, and four equal sides.
How can you prove that a rectangle is really a rectangle?
In a rectangle, all the opposite sides, and angles are congruent to each other. All 4 angles of the rectangle, are right angles.
How do you prove In a circle or congruent circles congruent central angles have congruent arcs?
Chuck Norris can prove it
How do you prove a trapezoid is isoceles?
To prove a trapezoid is isosceles, you need to show that the legs (the non-parallel sides) are congruent. This can be done by demonstrating that the base angles opposite these sides are congruent. You can use the triangle congruence postulates or the properties of parallel lines and transversals to establish the equality of these angles.
How can you used a triangle to prove quadrilateral is a parallelogram?
A quadrilateral, in general, is not a parallelogram. If it is a parallelogram then you will have some additional information about its sides and angles. If you do not have such information it is not possible to prove that it is a parallelogram. Draw a diagonal which will divide the quadrilateral into two triangles and use the additional information that you have to show that the triangles are congruent. This can then be used to show equality of sides or of angles: the latter can then be used to show that sides are parallel. Note that the choice of which diagonal may influence how (if at all) you proceed.
What is the ways to prove that a quadrilateral is a parallelogram?
If it is a parallelogram, then it has two sets of parallelogram sides. Parallelograms' opposite angles are congruent A parallelogram's bisectors are congruent. * * * * * A parallelogram's bisectors are NOT congruent.
What are the characteristics of a parallelogram?
Parallelograms: 1.)opposite side of a parallelogram are parallel and you can prove that by finding the slope for both lines. 2.) opposite sides of a parallelogram are congruent 3.) diagonals bisect each other 4.)opposite angles are congruent 5.) consecutive angles are supp. *Remember that alternate interior angles are congruent.
What are the proofs that a quadrilateral ia s parallelogram?
There are 5 ways to prove a Quadrilateral is a Parallelogram. -Prove both pairs of opposite sides congruent -Prove both pairs of opposite sides parallel -Prove one pair of opposite sides both congruent and parallel -Prove both pairs of opposite angles are congruent -Prove that the diagonals bisect each other
What are three attributes of a parallelogram?
Parallelograms: 1.)opposite side of a parallelogram are parallel and you can prove that by finding the slope for both lines. 2.) opposite sides of a parallelogram are congruent 3.) diagonals bisect each other 4.)opposite angles are congruent 5.) consecutive angles are supp.
How can i prove that a parallelogram is a parallelogram when you are given opposite sides are congruent?
If two opposite sides are congruent in length and direction then they are parallel sides. THat would mean the other two sides are congruent making 4 parallel sides or a parallelogram
What are all of the characteristics of a parallelogram?
Parallelograms: 1.)opposite side of a parallelogram are parallel and you can prove that by finding the slope for both lines. 2.) opposite sides of a parallelogram are congruent 3.) diagonals bisect each other 4.)opposite angles are congruent 5.) consecutive angles are supp. *Remember that alternate interior angles are congruent. To break it down in a better understanding way. 1.)opposite side of a parallelogram are parallel and you can prove that by finding the slope for both lines. If the shape is a parallelogram then you can find the slope of its sides. if they are parallel to each other then it is a parallelogram. 2.) opposite sides of a parallelogram are congruent top and bottom sides are congruent. right and left sides are congruent. 3.) diagonals bisect each other When you draw a straight line from the top right corner to the bottom left corner and from the top left corner to the bottom right corner, the bisect each other or in better terms, the lines cut each other equaly in half. 4.)opposite angles are congruent just as the sides. 5.) consecutive angles are supp. These angels produce a line. this line like all lines will add up to 180 degrees. *Remember that alternate interior angles are congruent.
If one pair of opposite angles and one pair of opposite sites of a quadrilateral is congruent then the quadrilateral is a parallelogram. How can it be proven?
draw a diagonal through opposite corners of the quadrilateral. This makes two triangles. Prove the triangles are congruent using SSA (side side angle) congruence. Then show that the other two sides of the quadrilater must be congruent to each other, so it is a parallelogram.
What does a rhombus have to have to prove that it is a rhombus?
a parallelogram with opposite equal acute angles, opposite equal obtuse angles, and four equal sides.
How do you prove that a parallelogram is a rectangle?
a rectangle has four right angles and opposite sides are all the same length This means that a parallelogram is not always a rectangle, but a rectangle is always a parallelogram, by definition.
How can you prove that a rectangle is really a rectangle?
In a rectangle, all the opposite sides, and angles are congruent to each other. All 4 angles of the rectangle, are right angles.
How do you prove In a circle or congruent circles congruent central angles have congruent arcs?
Chuck Norris can prove it
How do you prove a trapezoid is isoceles?
To prove a trapezoid is isosceles, you need to show that the legs (the non-parallel sides) are congruent. This can be done by demonstrating that the base angles opposite these sides are congruent. You can use the triangle congruence postulates or the properties of parallel lines and transversals to establish the equality of these angles.
