Answer:
The Proof for
Part C , Qs 9 and Qs 10 is below.
Step-by-step explanation:
PART C .
Given:
AD || BC ,
AE ≅ EC
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. AB ≅ BC 1. Given
2. ∠ABD ≅ ∠CBD 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
it is true
Y=1/2 c + 1=81 so the answer is a-True
Answer:
Volume of square-based pyramid = 96 in³
Step-by-step explanation:
Given:
Base side of square = 6 inch
Height of pyramid = 8 inch
Find:
Volume of square-based pyramid
Computation:
Area of square base = Side x Side
Area of square base = 6 x 6
Area of square base = 36 in²
Volume of square-based pyramid = (1/3)(A)(h)
Volume of square-based pyramid = (1/3)(36)(8)
Volume of square-based pyramid = (1/3)(36)(8)
Volume of square-based pyramid = (12)(8)
Volume of square-based pyramid = 96 in³
Answer:
187.5 ft
Step-by-step explanation:
50 ft x 3.75 = 187.5
