Using transformations and congruency concepts, it is found that with these following transformations, the triangles will be congruent.
- A reflection, then a translation.
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A rotation, then a reflection.
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- Two triangles are congruent if they have the <u>same lengths</u> of the sides and the <u>same angles.</u>
- In a reflection, there is a rule that changes the <u>coordinates (x,y)</u>, but does <u>not </u>change <u>the lengths</u> of the sides of the triangles, thus they will still be congruent.
- A <u>reflection is also a special case of rotation</u>, thus, in a rotation, the triangles are also congruent.
- A translation is also similar to a reflection, using rules to shift the triangle up, down, left or right according to it's coordinates, not changing the sides or angles, thus congruent.
- In a dilation, the <u>lengths of the sides are changed</u>, thus, the triangles will not be congruent.
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Thus, from the bullet points above, the correct options are:
- A reflection, then a translation.
- A rotation, then a reflection.
A similar problem is given at brainly.com/question/24267298
Answer: Assuming the unit is dollars, the answer would be $5,010.
Explanation:
Step 1: 8000-300 is 7700.
Step 2: 7700-290 is 7410
Step 3: 7410-400 is 7010
Step 4: 7010-2000 is 5010
So, the answer is Anna has $5,010 dollars left after giving Jim $300, buying shoes for $290, a suit for $400 and spending $2,000 dollars on a new phone.
Answer:
16.5x == 465.3
Step-by-step explanation:
To find the rate , take the number of miles and divide by the gallons
rate = 465.3 / 16.5
Let the rate be x
x = 465.3 / 16.5
Multiply each side by 16.5
16.5x = 465.3
Answer:
Step-by-step explanation:
$24.5
