A trapezoid with mirror symmetry around an axis perpendicular to and bisecting the two parallel sides.
If A ~ B and B ~ C then A ~ C. The above statement is true is you substitute "is parallel to" for ~ or if you substitute "is congruent to" for ~.
They are 4 sided quadrilaterals and have 4 right angles with a pair of opposite parallel sides but it is not a square.
To prove that the line which divides the nonparallel sides of a trapezium proportionally is parallel to the third side, we can use the property of similar triangles. Let the trapezium ABCD have sides AB and CD as the nonparallel sides, and side BC as the third side. Let the line dividing AB and CD be denoted as EF, with E on AB and F on CD. By the property of similar triangles, we can show that triangles AEF and BCF are similar, and hence their corresponding angles are congruent. This proves that EF is parallel to BC.
The reflexive property states that A is congruent to A.
In a triangle, if two sides show to be congruent, you would use the reflexive property of congruence. (AB=AC) A /\ / \ / \ B C As shown in this diagram AB and AC obviously show to be parallel(as shown by the slash marks...
If A ~ B and B ~ C then A ~ C. The above statement is true is you substitute "is parallel to" for ~ or if you substitute "is congruent to" for ~.
They are 4 sided quadrilaterals and have 4 right angles with a pair of opposite parallel sides but it is not a square.
True, ABC is congruent to PQR by the transitive property.
To prove that the line which divides the nonparallel sides of a trapezium proportionally is parallel to the third side, we can use the property of similar triangles. Let the trapezium ABCD have sides AB and CD as the nonparallel sides, and side BC as the third side. Let the line dividing AB and CD be denoted as EF, with E on AB and F on CD. By the property of similar triangles, we can show that triangles AEF and BCF are similar, and hence their corresponding angles are congruent. This proves that EF is parallel to BC.
The Symmetric Property of Congruence: If angle A is congruent to angle B, then angle B is congruent to angle A. If X is congruent to Y then Y is congruent to X.
If A is congruent to B and B is congruent to C then A is congruent to C.
The transitive property is if angle A is congruent to angle B and angle B is congruent to angle C, then angle A is congruent to angle C.
Reflexive property
The reflexive property states that A is congruent to A.
The reflexive property states that A is congruent to A.
the property has a parallel lines beacuse there traversal
In a triangle, if two sides show to be congruent, you would use the reflexive property of congruence. (AB=AC) A /\ / \ / \ B C As shown in this diagram AB and AC obviously show to be parallel(as shown by the slash marks...