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4 years ago

What is the missing reason in the proof?

Mathematics

2 answers:

zhuklara [117]4 years ago

8 0

Answer:

Option 2.

Step-by-step explanation:

Given information: ABCD is a parallelogram with diagonal BD.

Prove: ΔABD ≅ΔCDB

Proof:

Definition of parallelogram: Opposite sides of a parallelogram are parallel and congruent.

Alternate interior angle theorem : If a transversal line intersect two parallel lines, then the alternate interior angles are congruent.

ASA postulate: If two corresponding angles and their included side are congruent, then both triangles are congruent.

Statement Reason

1. AD║BD 1. Definition of parallelogram.

2. ADB≅CBD 2. Alternate interior angle theorem.

3. AB║CD 3. Definition of parallelogram.

4. ABD≅CDB 4. Alternate interior angle theorem.

5. DB≅DB 5. Reflexive property of congruence

6. ΔABD ≅ΔCDB 6. ASA

The missing reason is "Definition of parallelogram".

Therefore, the correct option is 2.

djverab [1.8K]4 years ago

3 0

the answeris segment addition

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Find the surface area of the figure. 12 in. SA = [ ? ]in.? 5 in. 16 in.

tekilochka [14]

Answer:

SA = 664 in.²

Step-by-step explanation:

Surface area of the rectangular prism = 2(LW + LH + WH)

Where,

Length (L) = 16 in.

Width (W) = 5 in.

Height (H) = 12 in.

Substitute the values

Surface area of the rectangular prism = 2(16*5 + 16*12 + 5*12)

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3 years ago

Socket set for $36.00 with 40% off plus 8.25 % sales tax. How much do I owe?

OlgaM077 [116]

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3 years ago

Read 2 more answers

How many yards carpeting is needed to cover a 60 feet length room and 40 feet width

Bad White [126]

Answer:

$266$ $\frac{2}{3}$ $yards$

Step-by-step explanation:

1. Approach

First, convert the dimensions of the room from feet to yards. Remember, the conversion rate between feet and yards is, $3feet=1yard$ . Next, find the area of the room by multiplying the length by the width.