6.4 - 6.6 Special Parallelograms, Kites, & Trapezoids

In rectangle ABCD, AC = 24 and DE = 2x - 8. Find x.

• 7

• 10

• 13

• 16

Answer explanation

2*DE = AC

Tags

CCSS.HSG.CO.C.11

In rectangle WXYZ, m<1=40. Find m<2.

• 20

• 140

• 70

• 40

Answer explanation

Triangle VXY is an isosceles triangle. <X and <Y are congruent. Take 180 - 40, then divide by 2.

Tags

CCSS.HSG.CO.C.11

In rectangle RSTU, which pair of segments is not necessarily congruent?

• RS, TU

• SV, VU

• ST, TU

• RT, SU

Answer explanation

Opposite sides and diagonals are congruent.

Consecutive sides aren't necessarily congruent.

Tags

CCSS.HSG.CO.C.11

Which of the following is not necessarily true of a rectangle?

• Diagonals are congruent and bisect each other.

• Consecutive angles are supplementary.

• All four angles are right angles.

• Consecutive sides are congruent.

Tags

CCSS.HSG.CO.C.11

If LMNO is a rhombus, which angle is not necessarily a right angle?

• <LPM

• <MPN

• <LMN

• <OPN

Answer explanation

The diagonals of a rhombus are perpendicular

Tags

CCSS.HSG.CO.C.11

In the rhombus below, m<1 = 4x+5 and m<2 = 6x -7. What is the value of x?

•  $\frac{19}{8}$  

• 6

•  $\frac{91}{5}$  
  

• 10

Answer explanation

The diagonals of a rhombus are angle bisectors (set the angles equal to one another)

Tags

CCSS.HSG.CO.C.11

If ABCD is a rhombus and m<BDC = 38, find m<BAD.

• 104

• 76

• 142

• 38

Answer explanation

<ACD is twice <BDC

<ACD + <BAD = 180 (consecutive angles of a parallelogram)

Tags

CCSS.HSG.CO.C.11

Which statement is false?

• Every rhombus is a square.

• Every rhombus is a quadrilateral.

• Every square is a rhombus.

• Every rhombus is a parallelogram.

Tags

CCSS.HSG.CO.C.11

The bases of a trapezoid have measures of 16 and 8. Find the measure of the median.

• 128

• 12

• 8

• 24

Answer explanation

$\frac{Top\ +\ Bottom}{2}=Median$

Given trapezoid BCD with median EF, find the value of x.

• 9

• 7.5

• 6

• 10.5

Answer explanation

$\frac{2x+2+5x-10}{2}=17$