Q: If two intersecting lines form congruent adjacent angles then the lines are perpendicular?

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yes, intersecting lines form two pairs of congruent angles

If all adjacent angles are congruent, it can only be a rectangle (or square).

Rectangles have congruent adjacent angles.

perpendicualr lines form 90 degree angles and intersecting lines just insersect. perpendicular: _ l _ intersecting: x l

Whenever two lines intersect, vertical angles refers to the angles opposite each other

Related questions

Draw to lines intersecting each other. The angles across from each other will be both congruent and adjacent

Adjacent angles

That is an important theorem in geometry: if two lines intersect to form adjacent congruent angles, then the lines are perpendicular. Those congruent angles would be right angles.

Yes

Rectangle: A quadrilateral with 4 right angles, diagonals congruent/bisecting, and opposite sides congruent, BUT ADJACENT SIDES ARE NOT CONGRUENT. Rhobus: A quadrilateral with opposite congruent angles, but adjacent angles are Not congruent, perpendicular bisecting diagonals and 4 congruent sides. Square: A quadrilateral that is a rectangle and a square with 4 right angles, diagonals congruet/bisecting that ar perpendicular, and opposites sides congruent.

yes

Rhombus' Congruent AnglesIt's not the adjacent angles of a rhombus that are congruent, but the diagonal ones.

yes, intersecting lines form two pairs of congruent angles

If all adjacent angles are congruent, it can only be a rectangle (or square).

Angles that are pairs of opposite and congruent lines formed by intersecting lines are intersections

the two adjacent angles formed by the intersecting lines will equal 180 degrees.

If the lines are perpendicular, which is to say, intersect at right angles, then all four angles are congruent, since they will all be 90o. If the intersection is not perpendicular, then there are two sets of congruent angles. Opposite angles will be equal. That is to say, if you imagine the angles forming at more or less the cardinal points of the compass, the north and south angles will be equal, and the east and west angles will be equal.