Complete the following chart to summarize the different ways to prove triangles are congruent
1 answer:
Answer:
<u>SAS congruency:</u>
example---- figure attached.
<u>ASA congruency:</u>
What it says--- If any two angles and the included side are the same in both triangles, then the triangles are congruent.
Information required---- two pair of congruent triangles and one corresponding sides.
example----figure attached.
<u>AAS congruency:</u>
What it says----if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.
Information Required----Two angles and a non-included side are congruent.
example---- figure attached.
<u>HL congruency:</u>
What it says---- When two right triangles have corresponding sides that are congruent , the triangles are congruent.
Information required---- two right triangles and the sides are congruent.
Example--- figure attached.
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Bart company charges a lower rate. It is lower by rate $ 0.5 per hour
<h3><u>Solution:</u></h3>Given that Ace bike rentals rents bikes for $28 per day. Renters can keep the bike for 8 hours
Also given that Bart's bikes rents bikes for $30 per day. Renters can keep the bike for 10 hours
To find: company that charges lower rate
Let us find the hourly rate of Ace and Bart
<em><u>Hourly rate of Ace company:</u></em>
Rental price = $28
total time in a day 8 hours
So the hourly rate of Ace company is $ 3.5 per hour
<em><u>Hourly rate of Bart company:</u></em>
Rental price = $ 30
total time in a day 10 hours
So the hourly rate of Bart company is $ 3 per hour
<em><u>Comparing hourly rate of both companies</u></em>
Ace company is $ 3.5 per hour
Bart company is $ 3 per hour
Bart company < Ace company
3 < 3.5
Thus bart company charges a lower rate
<h3><em><u>How much lower?</u></em></h3>hourly rate of Ace company - hourly rate of Bart company = 3.5 - 3 = 0.5
So, it is lower by rate $0.5 per hour