By SAS property, ABC ≅ DCB.
<h3>How to prove the deductions</h3>
In this question we have to proof ABCD has congruent diagonal. By SAS property and reflexive property it can be proved as follows:
Given:
ABCD is a rectangle.
Prove:
Diagonal AC ≅ Diagonal BD
From the question,
As we can see that, ABCD is a rectangle, it is also a parallelogram.
Thus, ABCD is a parallelogram, opposite sides of a parallelogram are congruent.
⇒ AB ≅ DC
⇒ BC ≅ BC (Reflexive Property of Congruence)
Hence, ∠ABC and ∠DCB are right angles by the definition of rectangle.
∠ABC ≅ ∠DCB (all right angles are congruent)
Therefore, by SAS property, ABC ≅ DCB.
⇒ segment AC ≅ segment BD
Learn more about rectangular congruency here:
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The following are equivalent:
8-10x + 6
8-(10x-6)
-10x+14
Answer:
9x-3
Step-by-step explanation:
To do this, we can make an equation and add like terms.
The equation is 2x+3x-1+4x-2=p. P stands for perimeter.
Now, simplify. Add like terms.
9x-1-2=p
9x-3=p
9x-3
The answer is D. 9x-3
Hope this helps!
Answer:
Step-by-step explanation:
The answer for the question shown above is the first option, which is:
- Direct.
The explanation is shown below:
1. The problem says that <span>The number of tons of coal varies as the number of hours.
2. Therefore, you can write the following equation:
number of tons:x
number of hours:y
x=ky
Where k is the constant of variation.
3. Therere the variation is direct.</span>
