<span>1) We are given that PA = PB, so PA ≅ PB by the definition of the radius.
</span>When you draw a perpendicular to a segment AB, you take the compass, point it at A and draw an arc of size AB, then you do the same pointing the compass on B. Point P will be one of the intersections of those two arcs. Therefore PA and PB correspond to the radii of the arcs, which were taken both equal to AB, therefore they are congruent.
2) We know that angles PCA and PCB are right angles by the definition of perpendicular.
Perpendicularity is the relation between two lines that meet at a right angle. Since we know that PC is perpendicular to AB by construction, ∠PCA and ∠PCB are right angles.
3) PC ≅ PC by the reflexive property congruence.
The reflexive property congruence states that any shape is congruent to itself.
4) So, triangle ACP is congruent to triangle BCP by HL, and AC ≅ BC by CPCTC (corresponding parts of congruent triangles are congruent).
CPCTC states that if two triangles are congruent, then all of the corresponding sides and angles are congruent. Since ΔACP ≡ ΔBCP, then the corresponding sides AC and BC are congruent.
5) Since PC is perpendicular to and bisects AB, P is on the perpendicular bisector of AB by the definition of the perpendicular bisector.
<span>The perpendicular bisector of a segment is a line that cuts the segment into two equal parts (bisector) and that forms with the segment a right angle (perpendicular). Any point on the perpendicular bisector has the same distance from the segment's extremities. PC has exactly the characteristics of a perpendicular bisector of AB. </span>
Answer:
The answer is B
Step-by-step explanation:
if correct plz mark brainliest and tell me if its wrong
Remark
That's an excellent question. There are programs on the internet that have all kinds of graphing abilities. The simplest one is Desmos. Below is the answer to your question. Your graph is blue.
The family of graphs begins with y = 2^2 this is the point 4. Notice that with the y there, there is a horizontal line going through (0,4)
The red line is y= 4
The blue line is y= 5*(2)^2 which is 20
So the blue line is a horizontal line going through (0,20). That's the graph you want.
The green line is just one I added to show you what happens when add or subtract something from 20. I choose 6.
y = 5*2^2 - 6
Notice that gives you a line of y = 14
Answer:
D
Step-by-step explanation:
If n=minimum number of required words and the essay is 175 words long which is 5 times more words than the minimum number of required words, you multiply n with 5 and equate to 175. To get n, you divide 175 with 5(175/5) which is 35 words.
I believe the answer will be -7.
