Can you give more information
Answer:
The Proof and Explanation for
Part C ,
Qs 9 and
Qs 10 are below.
Step-by-step explanation:
PART C .
Given:
AD || BC ,
To Prove:
ΔAED ≅ ΔCEB
Proof:
Statement Reason
1. AD || BC 1. Given
2. ∠A ≅ ∠C 2. Alternate Angles Theorem as AD || BC
3. ∠AED ≅ ∠CEB 3. Vertical Opposite Angle Theorem.
4. AE ≅ EC 4. Given
5. ΔAED ≅ ΔCEB 5. By A-S-A congruence test....Proved
Qs 9)
Given:
AB ≅ BC ,
∠ABD ≅ ∠CBD
To Prove:
∠A ≅ ∠C
Proof:
Statement Reason
1. ∠ABD ≅ ∠CBD 1. Given
2. AB ≅ CB 2. Given
3. BD ≅ BD 3. Reflexive Property
4. ΔABD ≅ ΔCBD 4. By S-A-S congruence test
5. ∠A ≅ ∠C 5. Corresponding parts of congruent Triangles Proved.
Qs 10)
Given:
∠MCI ≅ ∠AIC
MC ≅ AI
To Prove:
ΔMCI ≅ ΔAIC
Proof:
Statement Reason
1. ∠MCI ≅ ∠AIC 1. Given
2. MC ≅ AI 2. Given
3. CI ≅ CI 3. Reflexive Property
4. ΔMCI ≅ ΔAIC 4. By S-A-S congruence test
The property applied is the associative property
<h3>Algebraic properties</h3>
There are several algebraic properties in mathematics; each of which have their own applications
Some of these properties are:
- Commutative
- Distributive
- Associative
- Identity
The mathematical expression is given as:
And it is calculated as follows:
The property applied above is the associative property
Read more about mathematical properties at:
brainly.com/question/10628093
The radius of the circle can be found by dividing the circumference by pi and the dividing what ever you get by two
Answer: 90 degrees
============================
Explanation:
Let x and y be the two angles. Because they are supplementary angles, this means x+y = 180. Also since we're told that the angle is its own supplement, we can say that y = x.
Consequently, we can replace y with x and solve for x like so:
x+y = 180
x+x = 180 .... y is replaced with x since y = x
2x = 180
2x/2 = 180/2
x = 90
This means y = 90 as well. As a check, note how
x+y = 90+90 = 180
which verifies our answer.
