If a conditional and its converse are always true, then the statement is a

a. converse.
b. conditional.
c. biconditional.
d. counterexample.

I am trying to do some geometry and haven't taken it in a while so can someone please help?

If a conditional and its converse are always true, then the statement is a

*biconditional*

Which choice shows a true conditional with a correctly identified hypothesis and conclusion?
*If next month is January, then this month is the last of the year.
Hypothesis: Next month is January.
Conclusion: This month is the last of the year.*

Is the following definition of complementary reversible? If yes, write it as a true biconditional.
Complementary angles are two angles whose sum measures to 90°.
*Yes, angles are complementary if (and only if) their sum measures to 90°.*

Which bicondtional is not a good definition?
*An angle is obtuse if and only if its measure is greater than 180°.*

Name the Property of Equality that justifies the statement:
If m<A=m<B=m<C, then m<A=m<C-m<B
*Subtraction Property*

Write the converse of the following true conditional statement. If the converse is false, write a counterexample.
If a < 10, then a < 15.
*If a < 15, then a < 10; false
counterexample: a = 12 and a > 10*

Use the Division Property of Equality to complete the following statement.
If 5x = 2y, then x = ?
*2y/5*

The true conditional statement, “If 5x + 7 = 2x – 1, then 3x + 7 = −1,” illustrates which property of equality?
*Subtraction Property of Equality*

What is the value of x?
*61*

Name the Property of Equality that justifies the statement:
If RS = ST and ST = TU, then RS = TU
*Transitive Property*

(WRITEN RESPONSED BELOW)
m<2=34. Find m<4 and explain how you know
if m<2 is 34 so what is m<4 should be 34. They are both vertical. Its a linear pair. where this black line equal to 180.
Subtract 34 from 180. 34-180=146
So your answer is m<1 146.
To check yourself add 34 + 146= ?
if it is equal to 180 then yes 146 right.

Complete the two-column proof.
A. substitution property of equality, b. supplementary angles, and c. subtraction property of equality

Complete the paragraph proof.
(a) 180°
(b) 180°
(c) substitution property
(d) m∠3
(e) ∠3

What is the value of x? Justify each step.
AC = 32
a. segment addition postulate
b. substitution
c. simplify
d. subtraction property of equality(subtracting 8 from both sides)
e. division property of equality(divide 8 by both sides)

Write the conditional statement that the Venn diagram illustrates.
If it is a square, then it is quadrilateral.

Write a two-column proof.
Given: 7y = 8x – 14; y = 6
Prove: x = 7
Given - 7y=8x-14 : y=6
Substitution Property - 7(6)=8x-14
Distributive Property - 8x-14=42
Addition Property - 8x=56
Division Property - x=7

EC bisects <BED, m<AEB=11x-12 and m<CED=4x+1. Find m<AEC.
Add all the angles together to get 180°.
Since EC bisects BED, we know angle BEC and CED equal the same measure.
AEB + BEC + CED = 180°
(11x - 12) + (4x + 1) + (4x + 1) = 180°
Add like terms and solve
19x - 10 = 180
19x = 190
x = 10
Now, we substitute 'x' in AEB and BEC
AEB = 11x - 12
11 (10) - 12
AEB = 98
BEC = 4x + 1
4 (10) + 1
BEC = 41
98 + 41 = 139
AEC = 139

3.6.1 - Test: Reasoning and Proof Unit Test
Took me a little bit but enjoy :)

yo I hate covid

what’s the answers for Lesson 6: Reasoning and Proof Unit Test Geometry A Unit 3: Reasoning and proof ??

So it is biconditional.

some people do honors so the questions and answers will be different for people who aren't doing honors.

NOT HONORS
1. Conditional
2. Hypothesis: Next month is January
Conclusion: This month is the last month of the year
3. Angles are supplementary if (and only if) if their measures sum to 180 degrees
4. A ray is a bisector of an angle if and only if it splits the angle into two angles
5. Symmetric Property
6. Counter example x=27 x> 20
7. 2y/5
8. Multiplication Property of Equality
9. 61
10. Transitive Property
11. (angle 2=34 degrees find angle 4)
angle 4 is also 34 degrees. *explain*
12. a.- similar angles b. -Definition of Addition Property c. - solution of Property of Subtraction. (mine was different but I explained it)
13.
The next 4 problems are yours <3
Helped the best I could.

No it’s not right! I think our tests get switched up with different orders and questions so.. it might have been right for hers/his but maybe not for yours, or mine.

Unit 3 Lesson 8: Reasoning And Proof Unit test.

1. C) Biconditional.
2. D) If it's raining, then the humidity level is 100%; hypothesis: it is raining; conclusion: the humidity level is 100%.
3. D) The sum is 10x11
4. C) Yes, angles are complementary if (and only if) their sum measures to 90 degrees.
5. D) And angle is Obtuse if and only if its measure is greater that 180 degrees.

First 5 answers do the rest don't be lazy.

ayyyy and we got a bbh :D

So what’s the answers then?

1. C-Biconditional

2. D- Hypothesis: Next month is January
Conclusion: This month is the last month of the year
3. C- The sum is (10 * 11)/2
4.C- Yes, angles are complementary if (and only if) their sum measures to 90*
5. C- Two angles form a linear pair if and only if the angles are adjacent
6. A- I will have a picnic today
7. A- Transitive property
8. A- A trapezoid is a quadrilateral and it is not a rectangle
9. D- If you are 18 years old, then you are not done learning
10. B- If a<15, Then a < 10; False
counterexample; A = 12 and A>10
11. B- Laisha will have 8 costumers
12. C- 6x = 320
13. B- If p = q, the p + s = q + s
14. B- 12
15. A- Reflective property
16. A- The white triangle

The next 9 essay questions are one your own!!