Question

In: Math

Prove that if a diagonal of a parallelogram bisects the angles whose vertices it joins, the...

Prove that if a diagonal of a parallelogram bisects the angles whose vertices it joins, the parallelogram is a rhombus

Solutions

Expert Solution


Related Solutions

1.38.4. The diagonal of a parallelogram and segments from any point on the diagonal to the...
1.38.4. The diagonal of a parallelogram and segments from any point on the diagonal to the vertices through which the diagonal does not pass divide the parallelogram into two pairs of equal triangles.
189. An altitude of a triangle is a segment that joins one of the three vertices...
189. An altitude of a triangle is a segment that joins one of the three vertices to a point on the line that contains the opposite side, the intersection being perpendicular. For example, consider the triangle whose vertices are A = (0, 0), B = (8, 0), and C = (4, 12). (a) Find the length of the altitude from C to side AB. What is the area of ABC? (b) Find an equation for the line that contains the...
prove that a translation is an isometry "i want the prove by using a parallelogram and...
prove that a translation is an isometry "i want the prove by using a parallelogram and proving that the two side are congruent please"
How do the angle bisectors of the internal angles of a parallelogram form a rectangle?
How do the angle bisectors of the internal angles of a parallelogram form a rectangle?
How far down (from a vertex) along each diagonal do the diagonals of a parallelogram intersect?
How far down (from a vertex) along each diagonal do the diagonals of a parallelogram intersect?
The  three charges are at the three vertices of an equilateral triangle ?( all angles are 60degrees)...
The  three charges are at the three vertices of an equilateral triangle ?( all angles are 60degrees) q 1  =  + 10.0 µC q 2 =  -  5 .0 nC q 3  = + 8 .0 nC Equilateral side of the triangle = 0.05 m. A. Draw forces acting on  q 1 by  q 2and q 3   B. find the components on X and Y axes . C. Use Pythagorean theorem to find the resultant . D. Use tangent to find the direction ( angle ) the resultant...
Prove that one of the diagonals of a kite bisects two of the angles of the...
Prove that one of the diagonals of a kite bisects two of the angles of the kite. What about the other diagonal — must it also be an angle bisector? Explain your response.
Prove or disprove the following statements. (a) There is a simple graph with 6 vertices with...
Prove or disprove the following statements. (a) There is a simple graph with 6 vertices with degree sequence (3, 3, 5, 5, 5, 5)? (b) There is a simple graph with 6 vertices with degree sequence (2, 3, 3, 4, 5, 5)?
1) Prove the conjectures a) The sum of the measures of the n interior angles of...
1) Prove the conjectures a) The sum of the measures of the n interior angles of any n-gon is 180 degrees(n-2). b) For any polygon, the sum of the measures of a set of exterior angles is 360 degrees.
Question 1 a) Prove that if u and v are distinct vertices of a graph G,...
Question 1 a) Prove that if u and v are distinct vertices of a graph G, there exists a walk from u to v if and only if there exists a path (a walk with distinct vertices) from u to v. b) Prove that a graph is bipartite if and only if it contains no cycles of odd length. Please write legibly with step by step details. Many thanks!
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT