Unit 2 – Similarity, Congruence, and Proofs Review Quiz #10 Proving Theorems about Parallelograms

No, because both pairs of opposite sides are not parallel. Question 1 Determine whether these four vertices form a parallelogram: A (–3, 0), B (6, 0), C (1, 1), D (–2, –2). No, because both pairs of opposite sides are not parallel.

Yes, because both pairs of opposite sides are parallel. Question 2 Determine whether these four vertices form a parallelogram: S (–7, 3), T (–1, 3), U (–2, 1), V (–8, 1). Yes, because both pairs of opposite sides are parallel.

Question 3 Classify a quadrilateral as precisely as possible given four vertices: P (–6, –3), Q (–3, –7), R (–7, –10), S (–10, –6). Square

Question 4 Classify a quadrilateral as precisely as possible given four vertices: D (–5, 2), E (–2, –3), F (8, 3), G (5, 8). Rectangle

The diagonals intersect at right angles. Question 5 What is always true about rhombuses? The diagonals intersect at right angles.

Question 6 Decide whether each statement is true or false about the properties of parallelograms. Opposite angles are congruent. TRUE The diagonals bisect each other. TRUE The diagonals are perpendicular. FALSE Consecutive angles are supplementary. TRUE

Yes, because the diagonals bisect each other. Question 7 Determine whether the four vertices form a parallelogram: P (3, 3), Q (7, 4), R (5, 2), S (1, 1). Yes, because the diagonals bisect each other.

No, because the opposite sides are not parallel. Question 8 Determine whether the four vertices form a parallelogram: D (0, 4), E (3, 5), F (2, 2), G (–1, 2). No, because the opposite sides are not parallel.

Find the values of x and y if quadrilateral ABCD is a parallelogram. Question 9 Find the values of x and y if quadrilateral ABCD is a parallelogram. x = 19, y = 17

Question 10 Find the values of x and y if quadrilateral ABCD is a parallelogram. x = 13, y = 22

Question 11 If the diagonals of a given quadrilateral are perpendicular, how could the quadrilateral be classified? Rhombus, Square, Kite

Rectangle, Isosceles Trapezoid, Square Question 12 If the diagonals of a given quadrilateral are congruent, how could the quadrilateral be classified? Rectangle, Isosceles Trapezoid, Square

Question 13 Classify a quadrilateral as precisely as possible given four vertices: E (0, –1), F (3, –5), G (–2, –5), and H (–5, –1). rhombus

Question 14 Classify a quadrilateral as precisely as possible given four vertices: A (1, 1), B (6, 6), C (11, 1), and D (6, –4). square

Question 15 Classify a quadrilateral as precisely as possible given four vertices: A (3, –5), B (3, 3), C (9, 1), and D (9, –3). isosceles trapezoid