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Activity 4: Find my Measure.
Answer the following problems below. Show your complete solutions. Write your answers in
your activity notebook.
A. Quadrilateral ABCD is a paralielogram. The diagonals are AC and BD that intersects
at E.
1. If AB = x + 6 and CD = 14 what is x?
2. If BE = 2x and DE = 6. what is x?
3. If AD = 4x + 15 and BC = 2x + 21, then what is the length of AD?
4. IF AE = 15 and CE = x + 4, what is x?
B.
ABCD is a rectangle with diagonals AC and BD
5. AC = 2x + 15. BD = 3x + 10. Find AC.
6. BD = 6x + 5, AC = 5x + 14. Find BD.
c. FERM is a rhombus. ME and FR intersects at l.
7. If m2IFE = x +20. mzIEF = x + 26. find x.
8. If mZIMR = 4x + 20 m2IRM = 2x + 10 find x.
D.
BETH is a square and M is the intersection of the diagonals.
9. IF BM = x + 12. EM = 2x - 20. what is the length of HE?
10. If HM = 44 - X TM = 4 + 3x, what is the length of BT?
pls asap​

Sagot :

Aera7go

Answer:

A.

1.x=8

2.x=3

3.AD=27

4.x=11

B.

5.AC=25

6.BD=59

C.

7.x=17

8.x=10

D.

9.HE=88

10.BT=68

Step-by-step explanation:

A.

1.AB=CD

x+6=14

x=14-6

x=8

2.BE=DE

2x=6

2x/2=6/2

x=3

3.AD=BC

4x+15=2x+21

4x-2x=21-15

2x=6

2x/2=6/2

x=3

AD=4x+15

AD=4(3)+15

AD=12+15

AD=27

4.AE=CE

15=x+4

15-4=x

11=x

B.

5.AC=BD

2x+15=3x+10

2x-3x=10-15

-x=-5

-x/-1=-5/-1

x=5

AC=2x+15

AC=2(5)+15

AC=10+15

AC=25

6.AC=BD

5x+14=6x+5

5x-6x=5-14

-x=-9

-x/-1=-9/-1

x=9

BD=6x+5

BD=6(9)+5

BD=54+5

BD=59

C.

7.m<IFE+m<IEF+m<EIF=180

(x+20)+(x+26)+90=180

2x+56+90=180

2x+146=180

2x=180-146

2x=34

2x/2=34/2

x=17

8.m<IMR+m<IRM+m<MIR=180

(4x+20)+(2x+10)+90=180

6x+30+90=180

6x+120=180

6x=180-120

6x=60

6x/6=60/6

x=10

D.

9.BM=EM

x + 12=2x - 20

x-2x=-20-12

-x=-32

-x/-1=-32/-1

x=32

EM=½HE

2x-20=½HE

2(32)-20=½HE

64-20=½HE

44=½HE

(2)44=(2)½HE

88=HE

10.HM=TM

44-x=4+3x

-x-3x=4-44

-4x=-40

-4x/-4=-40/-4

x=10

TM=½BT

4+3x=½BT

4+3(10)=½BT

4+30=½BT

34=½BT

(2)34=(2)½BT

68=BT

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