The statement is false.
angle B and angle D are supplements, angle B is congruent to angle D, angle A is congruent to angle A, or angle A is congruent to angle C
Vertical angles must necessarily be congruent, however congruent angles do not necessarily have to be vertical angles. An example of congruent angles which are not vertical angles are the 3 interior angles of an equilateral triangle. These angles do not share the same vertex yet they are congruent.
lines m and n are parallel if x= 12 and y= 54
Symmetric
false
If two parallel lines are intersected by a transversal, then the corresponding angles are congruent. This is the transversal postulate. So the answer is the lines would be parallel. This means that the statement is true.
false
true
false
true
If a transversal intersects a pair of lines and the alternate angles are congruent, the lines are parallel.
false
That may vary. The only requirement for being called "isosceles triangle" is that two of the angles are congruent. (This is equivalent to the statement that two of the sides are congruent.)That may vary. The only requirement for being called "isosceles triangle" is that two of the angles are congruent. (This is equivalent to the statement that two of the sides are congruent.)That may vary. The only requirement for being called "isosceles triangle" is that two of the angles are congruent. (This is equivalent to the statement that two of the sides are congruent.)That may vary. The only requirement for being called "isosceles triangle" is that two of the angles are congruent. (This is equivalent to the statement that two of the sides are congruent.)
true
Two figures are congruent if and only if they have the same shape and size.
Transitive