Spletuse the diagram and information to answer the question. given: ab∥cd m∠a = 104, m∠b = 76. prove: quadrilateral abcd is a parallelogram. you can prove that quadrilateral abcd is … SpletA parallelogram is a special kind of quadrilateral that is formed by parallel lines. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram. A quadrilateral will be a parallelogram if its opposite sides are parallel and congruent.
Properties of a Parallelogram Parallelogram Properties Examples
SpletThe four most important properties of a parallelogram are: The opposite sides of a parallelogram are equal in measurement and they are parallel to each other. The opposite angles of a parallelogram are equal. The sum of interior angles of a parallelogram is equal to 360°. The consecutive angles of a parallelogram should be supplementary (180°). SpletLesson 6: Theorems concerning quadrilateral properties Proof: Opposite sides of a parallelogram Proof: Diagonals of a parallelogram Proof: Opposite angles of a parallelogram Proof: The diagonals of a kite are perpendicular Proof: Rhombus diagonals are perpendicular bisectors Proof: Rhombus area Prove parallelogram properties Math> dimension w8x10
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Spletm∠EFH = 112° The diagram is a map showing a zoo, a planetarium, and a museum. Find the measure of the angle formed at the planetarium. 88° If the measures of the angles of a … Spletm∠1 = 90° The diagonals of a rhombus are perpendicular. m∠2 = 61° Alternate Interior Angles Theorem m∠3 = 61° Each diagonal of a rhombus bisects a pair of opposite angles, and m∠2 = 61°. Triangle Sum Theoremm∠1 + m∠3 + m∠4 = 180° 90° + 61° + m∠4 = 180° Substitute 90 ° for m∠1 and 61 3. m∠4 = 29° Solve for m∠4. SpletThe adjacent or the adjoining angles of a parallelogram add up to 180°. Therefore, ∠A + ∠B = 180°, ∠B + ∠C = 180°, ∠C + ∠D = 180°, and ∠D + ∠A = 180°. The diagonals of a parallelogram bisect each other. Here, OB = OD, and OA = OC. The diagonals AC and BD in the figure divide the parallelogram into two congruent triangles. dimension urban cruiser handlebar review