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
Liana is correct bc henry included negative numbers
What question are you trying to ask?
The values of the rates 4/5 mile in 8 minutes and 4 minutes to travel 2/5 mile are equal
<h3>How to compare and contrast the rates?</h3>
The rates are given as:
Rate 1 = 4/5 mile in 8 minutes
Rate 2 = 2/5 mile in 4 minutes
Calculate the above rates
This is done as follows:
Rate 1 = 1/10 mile per minute
Rate 2 =1/10 mile per minute
When the rates are calculated, the values are 1/10 mile per minute
Hence, the values of the rates 4/5 mile in 8 minutes and 4 minutes to travel 2/5 mile are equal
Read more about rate at:
brainly.com/question/2021001
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Answer:

Step-by-step explanation:
The vertex form of a parabola:

(h, k) - vertex
We have the vertex at (3, 2) → h = 3 and k = 2.
Substitute:

The point (4, 6) is on athe parabola. Put the coordinates of this point to the equation:
<em>subtract 2 from both sides</em>


Finally:
<em>vertex form</em>
<em>use (a - b)² = a² - 2ab + b²</em>
<em>use the distributive property</em>

<em>standard form</em>