Page 16 - Math Course 3 (Book 2)
P. 16
Properties of Parallelograms
Your Turn!
Proof of Theorem 7.4
Prove that if AC and BD are the diagonals of ▱ABCD, △BEC ≅ △DEA and △BEA ≅ △DEC.
Given: ▱ABCD
△BEC ≅ △DEA
Prove:
△BEA ≅ △DEC
Choose which reason best completes the following proof.
Proof:
Statements Reasons
1. ▱ABCD 1. Given
2. Opposite sides of a parallelogram
2. BC ≅ DA, AB ≅ CD
are congruent.
3. ∠ABD ≅ ∠CDB, 3. If 2 || lines are cut by a
∠BAC ≅ ∠DCA transversal, alternate interior
∠CBD ≅ ∠ADB, ∠s are ≅. A. SSS B. ASA
∠BCA ≅ ∠DAC C. SAS D. AAS
4. △BEC ≅ △DEA, 4. _________?__________
△BEA ≅ △DEC Answer
Properties of Parallelograms
ABCD is a parallelogram. Find m∠BDC.
A. 54
B. 64
C. 62
D. 58
Answer
ABCD is a parallelogram. Find m∠BCD.
A. 54
B. 64
C. 62
D. 58
Answer
ABCD is a parallelogram. Find x.
A. 4
B. 5
C. 8
D. 20
Answer
8
