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Lin is using the diagram to prove the statement, “If a parallelogram has one right angle, it is a rectangle.” Given that \(EFGH\) is a parallelogram and angle \(HEF\) is right, which reasoning about angles will help her prove that angle \(FGH\) is also a right angle?
Corresponding angles are congruent when parallel lines are cut by a transversal.
Opposite angles in a parallelogram are congruent.
Vertical angles are congruent.
The base angles of an isosceles triangle are congruent.
\(ABDE\) is an isosceles trapezoid. Select all pairs of congruent triangles.
Triangle \(ABE\) and triangle \(DBE\)
Triangle \(ABD\) and triangle \(DAE\)
Triangle \(ABE\) and triangle \(BAD\)
Triangle \(AED\) and triangle \(BDE\)
Triangle \(EAB\) and triangle \(EDB\)
Match each conjecture with the rephrased statement of proof connected to the diagram.
The diagonals of a parallelogram bisect each other.
In a parallelogram, opposite sides are congruent.
A quadrilateral with opposite sides congruent is a parallelogram.
If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.
In quadrilateral \(EFGH\) with \(GH\) congruent to \(FE\) and \(EH\) congruent to \(FG\), show \(EFGH\) is a parallelogram.
In parallelogram \(EFGH\), show \(GH\) is congruent to \(FE\) and \(EH\) is congruent to \(FG\).
In quadrilateral \(EFGH\) with \(EK\) congruent to \(KG\) and \(FK\) congruent to \(KH\), show \(EFGH\) is a parallelogram.
In parallelogram \(EFGH\), show \(EK\) is congruent to \(KG\) and \(FK\) congruent to \(KH\).
Here is a square \(ABCD\). Name two pairs of congruent triangles. Then state the triangle congruence theorem that shows the triangles are congruent.
Describe a series of transformations that will take \(ABC\) to \(A''B''C''\)?