I think that first you need to understand what CPCTC is used for.
Let's start with the definition of congruent triangles.
Definition of congruent triangles
Two triangles are congruent if each side of one triangle is congruent to a corresponding side of the other triangle and each angle of one triangle is congruent to a corresponding angle of the other triangle.
A definition works two ways.
1) If you are told the sides and angles of one triangle are congruent to the corresponding sides and angle of a second triangle, then you can conclude the triangles are congruent.
2) If you are told the triangles are congruent, then you can conclude 6 statements of congruence, 3 for sides and 3 for angles.
Now let's see what CPCTC is and how it works.
CPCTC stands for "corresponding parts of congruent triangles are congruent."
The way it works is this. You can prove triangles congruent by knowing fewer that 6 statements of congruence. You can use ASA, SAS, AAS, SSS, etc. Once you prove two triangles congruent, then by the definition of congruent triangles, there are 6 congruent statements. That is where CPCTC comes in. Once you prove the triangles congruent, then you can conclude two corresponding sides or two corresponding angles are congruent by CPCTC. These two corresponding parts were not involved in proving the triangles congruent.
Problem 1.
Statements Reasons
1. Seg. AD perp. seg. BC 1. Given
2. <ADB & <ADC are right angles 2. Def. of perp. lines
3. <ADB is congr. <ADC 3. All right angles are congruent
4. Seg. BD is congr. seg CD 4. Given
5. Seg. AD is congr. seg. AD 5. Congruence of segments is reflexive
6. Tr. ABD is congr. tr. ACD 6. SAS
7. Seg. AB is congr. seg. AC 7. CPCTC
The answer to your question is -32.9
Answer:
The area is 35 inches
Step-by-step explanation:
You will need to cut the shape into 3 parts
the 3 by 3
2 by 5
and 4 by 4
after that you multiply the numbers to get the area of the 3 parts.
The final step is to add them all up
( if you have more problems message me)
Answer:
D. f(-3) = 11
Step-by-step explanation:
When f(x) is divided by x+3, you get a quotient g(x) and a remainder of 11:
f(x) / (x + 3) = g(x) + 11 / (x + 3)
Multiply both sides by x+3:
f(x) = g(x) (x + 3) + 11
Substitute -3 for x:
f(-3) = g(-3) (-3 + 3) + 11
f(-3) = g(-3) (0) + 11
f(-3) = 11
Answer:
−19810916
Step-by-step explanation:
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hope this helps!