MA.912.G.3.4: Prove theorems involving quadrilaterals.

Given quadrilateral ABCD, which of the following sufficiently indicates that the quadrilateral is a rectangle?

A. AB || DC and AD || BC B. AB is congruent to DC, and

AD is congruent to BC C. A and C are right angles D. AB is congruent to DC, and

AB || DC, and B is a right angle

MA.912.G.3.4: Prove theorems involving quadrilaterals.

Which statement is FALSE?A. Every square is a rhombus. B. All rectangles are parallelograms. C. The diagonals of all parallelograms bisect each other. D. Every property of a square is also a property of a parallelogram.

MA.912.G.3.4: Prove theorems involving quadrilaterals.

Figure JKLM is a rhombus. The measure of angle JKM is (2x + 17)° and the measure of angle LKM is (3x − 19)°.Which statement best explains why the equation 2x + 17 = 3x − 19 can be used to find x?

A. All sides of a rhombus are congruent.

B. Opposite angles in a rhombus are congruent.

C. The diagonals of a rhombus are perpendicular.

D. The diagonals of a rhombus bisect opposite angles.

MA.912.G.3.4: Prove theorems involving quadrilaterals.

Jasmine is about to buy a rectangular plot of land to build her house. Before she buys it, she wants to verify the shape is truly rectangular. Which of the following methods should she use to prove the plot of land is a rectangle?

A. Verify that the diagonals of the plot of land are congruent. B. Verify that opposite sides of the plot of land are congruent. C. Verify that the diagonals of the plot of land bisect each other. D. Verify that consecutive angles of the plot of land are

supplementary.

MA.912.G.3.4: Prove theorems involving quadrilaterals.

Given a rhombus, which statement is FALSE?A. The diagonals are perpendicular. B. The diagonals bisect each other. C. Exactly one pair of opposite sides is parallel. D. Both pairs of opposite angles are congruent.

MA.912.G.3.4: Prove theorems involving quadrilaterals.

Figure STUV is a parallelogram. The measure of angle S is (5x + 13)° and the measure of angle T is (7x − 40)°.

Which statement best explains why the equation 5x + 13 + 7x − 40 = 180 can be used to find x?

A. Opposite sides of a parallelogram are parallel. B. Opposite angles in a parallelogram are congruent. C. Consecutive angles in a parallelogram are supplementary. D. Consecutive angles in a parallelogram are complementary.

MA.912.G.3.4: Prove theorems involving quadrilaterals.

MA.912.G.3.4: Prove theorems involving quadrilaterals.

Miguel thinks the shape of his math classroom is a square. Tom disagrees. He thinks the classroom is rectangular but not square. Which of the following methods should Miguel use to prove his rectangular math classroom is truly square?

A.Verify the diagonals of the classroom are perpendicular. B.Verify that opposite sides in the classroom are congruent. C.Verify that the diagonals of the classroom are congruent. D.Verify that the diagonals of the classroom bisect each other.