Question

Check my answers ?

Answer 1

@ganeshie8

Answer 2

Lena is writing statements as shown to prove that if segment ST is parallel to segment RQ, then
x = 35.

Answer 3

Statement Reason
1. Segment ST is parallel to segment QR Given
2. Angle QRT is congruent to angle STP Corresponding angles formed by parallel lines and their transversal are congruent.
3. Angle SPT is congruent to angle QPR Reflexive property of angles.
4. Triangle SPT is congruent to triangle QPR Angle-Angle Similarity Postulate
5. ? Corresponding sides of similar triangles are in proportion.

Answer 4

Which equation can she use as statement 5?
x:15 = 28:40

28:12 = x:(x + 15 )

x + 15 = 28 + 12

28:40 = x:(x + 15)

Answer 5

do you have any pictures to correspond to your geometry proof? @arilove1d

Answer 6

https://lh3.ggpht.com/S8L3CnNxEjzgbs3KwMgNmMsvj16MY7S-93HGIOuFQunVpUrCdims-u2_E0OniK7KbkfiDw=s120

Answer 7

@Jamierox4ev3r I think its the last one

Answer 8

Go Jamie ~

Answer 9

oh sorry, erm I've been afk. Taking care of a few chores, you can solve this one @tHe_FiZiCx99

Answer 10

Fizi is going to bed X_X fizi has been facing his computer for the past 11 hours ._.

Answer 11

What do you guys think ?

Answer 12

Yes. The last one is correct

Answer 13

Okay Thank you can you help me with a few more

Answer 14

just looking at it, the last one seems correct :) sorry for not being on here consistently! >.<

Answer 15

Its okay :)

Answer 16

A student made the following chart to prove that AB2 + BC2 = AC2.

Answer 17

https://lh5.ggpht.com/-Ec6C9VKTTRFz16rIAk5RHm1GhZtB6mDRpia2RFKuuW5ukyWxDArAZsrdaOd6ufDc1zh=s153

Answer 18

Statement Justification
1. Triangle ABC is similar to triangle BDC 1. Angle ABC = Angle BDC and Angle BCA = Angle BCD
2. BC2 = AC x DC 2. BC ÷ DC = AC ÷ BC because triangle ABC is similar to triangle BDC
3. Triangle ABC is similar to triangle ABD 3. Angle ABC = Angle ADB and Angle BAC = Angle BAD
4. AB2 = AC x AD 4. AB ÷ AD = AB ÷ AC because triangle ABC is similar to triangle ADB
5. AB2 + BC2 = AC x AD + AC x DC = AC (AD + DC) 5. Adding Statement 1 and Statement 2
6. AB2 + BC2 = AC2 6. AD + DC = AC

Answer 19

What is the flaw in the student's proof?
Justification 2 should be "BC ÷ DC = BC ÷ AC because triangle ABC is similar to triangle BDC."

Justification 4 should be "AB ÷ AD = AC ÷ AB because triangle ABC is similar to triangle ADB."

Justification 1 should be "Angle ABC = Angle BCD and Angle BCA = Angle DBC."

Justification 3 should be "Angle ABC = Angle BAD and Angle BAC = Angle ABD."

Answer 20

I'm confused on this one

Answer 21

Any idea so far?

Answer 22

no not really

Answer 23

Is statement1 and justification1 correct?

Answer 24

yes

Answer 25

Is statement2 and justification2 correct?

Answer 26

no

Answer 27

Why not?

Answer 28

im not really sure i was looking at the last part of justification 2 and thought it was wrong then realized its right

Answer 29

I dont understand justification 2 and 4

Answer 30

Do you understand why BC ÷ DC = AC ÷ BC?

Answer 31

No

Answer 32

not really :(

Answer 33

Do you see why BC/EF = AC/DF ?

Answer 34

Yes now i see it

Answer 35

Just the same thing in justification 2 & 4

Answer 36

I dont see how AC relates to BC and DC

Answer 37

Are you talking about 2 or 4?

Answer 38

2

Answer 39

i think the answers the second one

Answer 40

correct

Answer 41

thank you so the second justification is incorrect

Answer 42

yep

Answer 43

Thank you !

Answer 44

Can you check my answers to the rest of my questions?

Answer 45

1.
Lena is writing statements as shown to prove that if segment ST is parallel to segment RQ, then
x = 35.

Statement Reason
1. Segment ST is parallel to segment QR Given
2. Angle QRT is congruent to angle STP Corresponding angles formed by parallel lines and their transversal are congruent.
3. Angle SPT is congruent to angle QPR Reflexive property of angles.
4. Triangle SPT is congruent to triangle QPR Angle-Angle Similarity Postulate
5. ? Corresponding sides of similar triangles are in proportion.

Which equation can she use as statement 5?
x:15 = 28:40

28:12 = x:(x + 15 )

x + 15 = 28 + 12

28:40 = x:(x + 15)

I got D

Answer 46

2.

A student made the following chart to prove that AB2 + BC2 = AC2.

Statement Justification
1. Triangle ABC is similar to triangle BDC 1. Angle ABC = Angle BDC and Angle BCA = Angle BCD
2. BC2 = AC x DC 2. BC ÷ DC = AC ÷ BC because triangle ABC is similar to triangle BDC
3. Triangle ABC is similar to triangle ABD 3. Angle ABC = Angle ADB and Angle BAC = Angle BAD
4. AB2 = AC x AD 4. AB ÷ AD = AB ÷ AC because triangle ABC is similar to triangle ADB
5. AB2 + BC2 = AC x AD + AC x DC = AC (AD + DC) 5. Adding Statement 1 and Statement 2
6. AB2 + BC2 = AC2 6. AD + DC = AC

What is the flaw in the student's proof?
Justification 2 should be "BC ÷ DC = BC ÷ AC because triangle ABC is similar to triangle BDC."

Justification 4 should be "AB ÷ AD = AC ÷ AB because triangle ABC is similar to triangle ADB."

Justification 1 should be "Angle ABC = Angle BCD and Angle BCA = Angle DBC."

Justification 3 should be "Angle ABC = Angle BAD and Angle BAC = Angle ABD."

I got A

Answer 47

Jim makes the chart shown below to prove that triangle APD is congruent to triangle BPC.

Statements Justifications
In triangles APD and BPC; DP = PC Sides of equilateral triangle DPC are equal
In triangles APD and BPC; AD = BC Sides of square ABCD are equal
In triangles APD and BPC; angle ADP = angle BCP Angle ADC = angle BCD = 90° and angle ADP = angle BCP = 90° - 60° = 30°
Triangles APD and BPC are congruent SSS postulate


What is the error in Jim's proof?
He writes DP = PC instead of DP = PB.

He writes AD = BC instead of AD = PC.

He assumes the measure of angle ADP and angle BCP as 30° instead of 45°.

He assumes that the triangles are congruent by the SSS postulate instead of SAS postulate.

I got D

Answer 48

Look at the figure.

A triangle ABC is drawn. D is a point on BC such that BD is equal to DC. A straight line joins points A and D. This line extends down till a point E below the triangle so that AD is equal to DE
https://www.google.com/search?q=michelson+interferometer&tbm=isch&tbs=simg:CAQSUxpRCxCo1NgEGgIICgwLELCMpwgaKgooCAESAv8HGiC6GF14925ruJlWfnVFWaB7_1LCSWid4Wbm1RFAFpgashQwLEI6u_1ggaCgoICAESBCLA13YM&sa=X&ei=z3gyU8LkD4rYoATT34LQBA&ved=0CCQQwg4oAA
Based on the figure, which pair of triangles is congruent by the Side Angle Side Postulate?

Triangle ABD and Triangle ECD

Triangle ABC and Triangle ECD

Triangle ABD and Triangle ADC

Triangle ADC and Triangle ABC

I got B

Answer 49

5.
The figure below shows a trapezoid, ABCD, having side AB parallel to side DC. The diagonals AC and BD intersect at point O.
https://lh4.ggpht.com/EhZck5Kpe2-dBsD3vOGO_JfCFon3rAikMIlvqtDWWMu5H90xiku1xzvQ7K1QDpUZ3u4WuEM=s155

ABCD is a trapezoid with DC parallel to AB. Diagonals AC and DB intersect at point O

If the length of AO is double the length of CO, the length of BO is

half of the length of AB

double the length of DO

one-fourth the length of AC

equal to the length of AO

I got B

Answer 50

6.
Adrian is using an indirect method to prove that segment DE is not parallel to segment BC in the triangle ABC shown.

A triangle ABC is shown. D is a point on side AB and E is a point on side AC. Points D and E are joined using a straight line. The length of AD is equal to 5, the length of DB is equal to 3, the length of AE is equal to 6 and the length of EC is equal to 4.

He starts with the assumption that segment DE is parallel to segment BC.

Which inequality will he use to contradict the assumption?

5:3 ≠ 6:10

5:8 ≠ 6:4

5:8 ≠ 6:10

5:3 ≠ 5:6

I got C

Answer 51

The figure below shows segments PQ and RS which intersect at point T. Segment PR is parallel to segment SQ.

Two line segments PQ and RS intersect at T. Segments PR and SQ are parallel to each other.

Which of these facts is used to prove that triangle PTR is similar to triangle QTS?

Line segment RT is congruent to line segment TS because corresponding parts of congruent triangles are congruent.

Line segment PR is congruent to line segment SQ because parallel segments are congruent.

Angle PTR is congruent to angle QTS because they are vertical angles.

Angle PRT is congruent to angle QST because they are vertical angles.

Answer 52

I got c