![]() The intersection of the diagonals of a kite form 90 degree (right) angles. The longer diagonal of a kite bisects the shorter one. The pairs of angles on one side of the transversal but inside the two lines are called Consecutive Interior Angles.Ī kite is a quadrilateral that has two pairs of consecutive equal sides and perpendicular diagonals. In the figure, the angles 3 and 5 are consecutive interior angles. When two lines are cut by a transversal, the pair of angles on one side of the transversal and inside the two lines are called the consecutive interior angles. ![]() We’ll prove this property using one of the theorems about parallel lines – the Consecutive Interior Angles Theorem. This property will be very useful in many problems involving parallelograms. One of the basic properties of parallelograms is that any pair of consecutive angles are supplementary. What shape has all pairs of consecutive angles are supplementary? This can be proved by the consecutive interior angles theorem which states that “If a transversal intersects two parallel lines, each pair of interior consecutive angles are supplementary (their sum is 180°).” Note: Interior consecutive angles are supplementary angles, i.e., they add up to 180°. What has consecutive angles are supplementary? The properties of the kite are as follows: Two disjoint pairs of consecutive sides are congruent by definition. What is consecutive angles in kite?Ī kite is a quadrilateral in which two disjoint pairs of consecutive sides are congruent (“disjoint pairs” means that one side can’t be used in both pairs). ![]() THEOREM: If a quadrilateral is a kite, it has one diagonal forming two isosceles triangles. THEOREM: If a quadrilateral is a kite, it has one pair of opposite angles congruent. THEOREM: If a quadrilateral is an isosceles trapezoid, the opposite angles are supplementary. ![]() 8 When are the opposite angles of a kite supplementary?.7 What are the consecutive angles of a kite?. ![]()
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