Are Opposite Sides Congruent? - Fixanswer

Opposite angles are also congruent angles, meaning

they are equal or have the same measurement

. Two crossing lines actually create two sets of opposite angles that, when the measures of their angles are added all together, will equal 360 degrees and make a circle.

Are opposite angles congruent?

Opposite angles are non-adjacent angles formed by two intersecting lines

Are opposite angles congruent in a rhombus?

All of the properties of a parallelogram apply (the ones that matter here are parallel sides,

opposite angles are congruent

, and consecutive angles are supplementary). All sides are congruent by definition. The diagonals bisect the angles.

What two angles are congruent?

Congruent angles are

angles that have the same measure

. A segment bisector is a line, segment, ray or plane that intersects a segment at its midpoint. An angle bisector is a ray that divides an angle into two congruent angles. Congruent segments are segments that have the same length.

How do you prove an angle is congruent?

If two angles are supplements of the same angle (or congruent angles)

, then the two angles are congruent. Congruent Complements Theorem: If two angles are complements of the same angle (or congruent angles), then the two angles are congruent.

How do you prove a rhombus is congruent?

If all sides of a quadrilateral are congruent

, then it’s a rhombus (reverse of the definition). If the diagonals of a quadrilateral bisect all the angles, then it’s a rhombus (converse of a property).

Do all parallelograms have 4 right angles?

In a parallelogram,

if one of the angles is a right angle, all four angles must be right angles

. If a four-sided figure has one right angle and at least one angle of a different measure, it is not a parallelogram; it is a trapezoid.

How can you prove opposite angles of a rhombus are congruent?

Here is a paragraph proof: A rhombus is a quadrilateral with four congruent sides, therefore opposite sides of a rhombus are congruent. Parallelogram theorem #2 converse states that “

if the opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram

”.

What angles are not congruent?

Not all corresponding angles are equal. Corresponding angles are equal if the transversal intersects two parallel lines. If the transversal intersects non-parallel lines, the

corresponding angles formed

are not congruent and are not related in any way.

Is same side interior angles congruent?

The same side interior angles are

NOT congruent

. They are supplementary. … The same side interior angles can be congruent only when each angle is equal to a 90 degree because then the sum of the same side interior angles is equal to 180 degrees.

What angles are congruent to 6?

Answer:

∠8

is congruent to ∠6 because they are vertical angles, or opposite angles. ∠2 is congruent to ∠6 because they are corresponding angles (same side of the transversal and in matching corners).

Is it true that if two angles are vertical then they are congruent?

When two lines intersect to make an X, angles on opposite sides of the X are called vertical angles. These angles are equal, and here’s the official theorem that tells you so. Vertical angles are

congruent

: If two angles are vertical angles, then they’re congruent (see the above figure).

How do you prove two lines are congruent?

If two parallel lines are cut by a transversal, then corresponding angles are congruent

. If two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel.

Is a rhombus a equilateral?

Rhombus	Properties convex, isotoxal