Geometry test: Properties

In quadrilateral QSTR, diagonals QS and RT intersect at M. Which statement would always prove quadrilateral QRST is a parallelogram?

1. < TQR and < QRS are supplementary 2. QM = SM and QT = RS 3. QR = TS and QT = RS 4. QR = TS and QT II RS answer: 3

In parallelogram ABCD, diagonals AC and BD intersects at E. Which statement proves ABCD is a rectangle?

1. AC = BD 2. AB perpendicular to BD 3. AC perpendicular to BD 4. AC bisects < BCD answer: 1

In parallelogram ABCD, diagonals AC and BD intersect at E. Which statement does NOT prove parallelogram ABCD is a rhombus?

1. AC = DB 2. AB = BC 3.AC perpendicular to DB 4. AC bisects <DCB answer: 1

A parallelogram must be a rhombus if its diagonals

1. are congruent 2. bisect each other 3. do not bisect its angles 4. are perpendicular to each other answer: 4

In quadrilateral ABCD each diagonal bisects opposite angles. If m< DAB= 70, then ABCD must be a

1. rectangle 2. trapezoid 3. rhombus 4. square answer: 3

Which quadrilateral has diagonals that always bisects its angles and also bisect each other?

1. rhombus 2. rectangle 3. parallelogram 4. isosceles trapezoid answer: 1

If ABCD is a rectangle find m <ABD. <ABC = (x + 18) and < ADC = (4x - 15)

<ABD = 61

If DEFG is an isosceles trapezoid, HG = 7, EH = 9x + 2, and EG= 16x - 5, find DF

DF = 27

legs are congruent

Isosceles trapezoid

opposite sides are parallel

Parallelogram, rectangle, rhombus, square

If PQRS is an isosceles trapezoid, RSTV is a rhombus RT = 28 and SV = 34, find QP

QP = 22

if QSRT is a square and each side at 18, find RT

RT = 25.5

angles at different bases are supplementary

isosceles Trapezoid

Both sets of base angles are congruent

isosceles trapezoid

opposite sides are congruent

parallelogram, rectangle

diagonals bisect each other

parallelogram, rectangle, rhombus,

diagonals are NOT congruent

parallelogram, rhombus

opposite angles are congruent

parallelogram, rhombus

All angles are right angles

rectangle, square

diagonals are congruent

rectangle, square, isosceles trapezoid

only one set of opposite sides are parallel (bases)

regular trapezoid

all sides are parallel

rhombus and square

consecutive angles are supplementary

rhombus, parallelogram

diagonals are perpendicular

rhombus, square,