Since segment AC bisects (aka cuts in half) angle A, this means the two angles CAB and CAD are the same measure. I'll refer to this later as "fact 1".
Triangles ABC and ADC have the shared segment AC between them. By the reflexive property AC = AC. Any segment is equal in length to itself. I'll call this "fact 2" later on.
Similar to fact 1, we have angle ACB = angle ACD. This is because AC bisects angle BCD into two smaller equal halves. I'll call this fact 3
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To summarize so far, we have these three facts
- angle CAB = angle CAD
- AC = AC
- angle ACB = angle ACD
in this exact order, we can use the ASA (angle side angle) congruence property to prove the two triangles are congruent. Facts 1 and 3 refer to the "A" parts of "ASA", while fact 2 refers to the "S" of "ASA". The order matters. Notice how the side is between the angles in question.
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Once we prove the triangles are congruent, we use CPCTC (corresponding parts of congruent triangles are congruent) to conclude that AB = AD and BC = BD. These pair of sides correspond, so they must be congruent in order for the entire triangles to be congruent overall.
It's like saying you had 2 identical houses, so the front doors must be the same. The houses are the triangles (the larger structure) and the door is an analogy to the sides (which are pieces of the larger structure).
Answer
Divide each number by -4
Step-by-step explanation:
Answer:
$34
$26.5
Step-by-step explanation:
Membership cost per month = $25
Price of a slice of pizza for members= $1.50
How much would Aaliyah have
to pay the pizza shop if she bought 6 slices of pizza this month
Total cost of Aaliyah on 6 slices of pizza = membership cost per month + prices of 6 discounted pizza
= $25 + $1.50(6)
= $25 + $9
= $34
What would be the
monthly cost for a slices of pizza
Monthly cost of Aaliyah a slices of pizza = membership cost per month + price of 1 discounted pizza
= $25 + $1.5
= $26.5
2(6)+3= 15 y= 6 or (2x6)+3=15
Answer:
2 pens for $0.90 is better
Step-by-step explanation:
