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IM 1 SS23 Day 10: Quadrilaterals Due 7/3/2023

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Last updated about 2 hours ago
34 questions
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20
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40
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20
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20
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30
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20
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20
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30
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20
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40
Required
20
Required
20
Required
30
Required
30
Required
20
Required
20
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25
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20
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20
20
Required
40
Required
20
Required
30
Required
20
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20
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10
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20
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30
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30
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30
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20
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10
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10
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15

Main Idea: Characteristics of Parallelograms

Question 1
1.

Complete the notes of this section.

Question 2
2.
Given XY = 15, WX = 22, ZX = 32, WT = 10, m∠WZY = 62°, m∠WXT = 27°, and m∠ZWT = 77°.
ZW=_______
ZY=_______
TX=_______
WY=_______
m∠TZY=_______ °
m∠XYZ=_______ °
m∠XWT=_______ °
m∠XYT=_______ °

Question 3
3.
▱LMNP is a parallelogram.

Solve for x.
_______
What is the length of LM?
_______

Question 4
4.
▱WXYZ is a parallelogram.
Solve for x
_______
What is the length of YZ?
_______


Question 5
5.
▱ABCD is a parallelogram.
Solve for x.
_______
Find m∠A.
_______
Find m∠B.
_______
Question 6
6.
▱ABCD is a parallelogram.

If m∠ABC = 115, find m∠ADB.

x=_______

m∠ADB=_______

Question 7
7.
▱ABCD is a parallelogram.

If TV = 74 and WV = 4x + 1, solve for x.

x=_______

TW=_______

Question 8
8.
▱ABCD is a parallelogram.

If NS = 2x + 7 and SQ = 5x – 23, find NQ.

x=_______

NS=_______

NQ=_______

Main Idea: Characteristics of Rectangles

Question 9
9.

Complete the notes of this section.

Question 10
10.
Given ▭ ABDC.
Given DB = 42, AD = 26 DC=33, and m∠DAE = 52°.
AC=_______
EB=_______
BC=_______
AB=_______
m∠ADC=_______ °
m∠ABD=_______°
m∠BCA=_______ °
m∠DEC=_______ °

Question 11
11.
▭ CDEF is a rectangle.

Solve for x.
x=_______
What is the length of EF in feet?
EF=_______

Question 12
12.
▭ RSTU is a rectangle.

If RT = 5x – 14 and US = 2x + 10, find VT.
Solve for x.
x=_______
What is the length of VT in inches?
VT=_______

Question 13
13.
▭ ABCD is a rectangle.

Find m∠BCE.
Solve for x.
x=_______
m∠BCE=_______
y=_______

Question 14
14.
▭ DEFG is a rectangle.

Solve for each variable.

x=_______
y=_______
z=_______

Main Idea: Characteristics of Rhombi and Squares

Question 15
15.

Rhombi

Complete the notes of this section.

Question 16
16.
Directions: If each quadrilateral below is a rhombus, find the missing measures.
Given ◇TUVW is a Rhombus.

TU=_______
WU=_______
TX=_______
TV=_______


Question 17
17.
Directions: If each quadrilateral below is a rhombus, find the missing measures.
Given ◇JKLM
m∠KNL =_______
m∠KJL =_______
m∠MLK =_______
m∠JKM =_______
m∠JML =_______

Question 18
18.
Given ◇NPQR is a rhombus.
x=_______

Find PQ
_______
Question 19
19.
Given ◇ABCD is a rhombus.
x=_______
Find m∠ADB.
_______


Question 20
20.

Squares

Complete the notes of this section.

Question 21
21.
If PQRS is a square and TR = 17, SR=24, find each missing value.
PR=_______
QS=_______
QT=_______
PQ=_______
m∠PRS=_______ °
m∠STR=_______°
m∠PSR=_______ °
m∠QPR=_______ °

Question 22
22.
If STUV is a square with SW = 2x + 13 and WU = 8x – 41, find VT.
Given □ STUV is a Square.
x=_______
VT=_______


Question 23
23.
Directions: If each quadrilateral below is a square, find the missing measures.
Given □ STUV is a Square.
x=_______
VU=_______
SW=_______
SU=_______

Question 24
24.
Given □ PQSR is a Square, find the missing measures.

m∠PQT=_______ °

Solve for x.
_______


m∠PQR=_______ °

Main Idea: Characteristics of Trapezoids

Question 25
25.

Complete the notes of this section.

Question 26
26.
If each quadrilateral below is a trapezoid, find the missing measures.
M∠C=_______
M∠E=_______


Question 27
27.
STUV is a trapezoid.

Solve for x.
_______

m∠S=_______ °
Question 28
28.
If each quadrilateral below is a trapezoid, find the missing measures.
x=_______
M∠M=_______
M∠N=_______
M∠O=_______
M∠P=_______


Question 29
29.
If each quadrilateral below is a trapezoid, find the missing measures.
x=_______
M∠W=_______
M∠X=_______
M∠Y=_______
M∠Z=_______


Question 30
30.
If MNOP is an isosceles trapezoid, MP = 16x – 12, NO = 9x + 9, PN = 5y + 19, and MO = 12y – 37, solve for x and y.
x=_______
y=_______
MP=_______
PN=_______
Question 31
31.

Midsegment of a Trapezoid

Complete the notes of this section.

Question 32
32.

If AB = 7 and DC = 31, find EF.

Question 33
33.

If AB = 41 and EF = 47, find DC.

Question 34
34.
For trapezoid PQRS, Y and Z are midpoints of the legs.

x=_______
YZ=_______
SR=_______