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borishaifa [10]
3 years ago
7

Which representation of a transformation on a coordinate grid preserves congruence?

Mathematics
1 answer:
Zepler [3.9K]3 years ago
3 0

Answer:

Rotations, reflections and translations.

Step-by-step explanation:

Rotations, reflections and translations are transformations that preserve the both the angle measurements and the lengths of the sides, so congruence is preserved.

Dilations are transformations that keep the angle measurements, but the side lengths change, so the transformation is similar, not congruent.

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11. Keng creates a painting on a rectangular canvas with a width that is four inches longer
GrogVix [38]

Part A

<h3>Answer:  h^2 + 4h</h3>

-------------------

Explanation:

We multiply the length and height to get the area

area = (length)*(height)

area = (h+4)*(h)

area = h(h+4)

area = h^2 + 4h .... apply the distributive property

The units for the area are in square inches.

===========================================================

Part B

<h3>Answer:  h^2 + 16h + 60</h3>

-------------------

Explanation:

If we add a 3 inch frame along the border, then we're adding two copies of 3 inches along the bottom side. The h+4 along the bottom updates to h+4+3+3 = h+10 along the bottom.

Similarly, along the vertical side we'd have the h go to h+3+3 = h+6

The old rectangle that was h by h+4 is now h+6 by h+10

Multiply these expressions to find the area

area = length*width

area = (h+6)(h+10)

area = x(h+10) ..... replace h+6 with x

area = xh + 10x .... distribute

area = h( x ) + 10( x )

area = h( h+6 ) + 10( h+6 ) .... plug in x = h+6

area = h^2+6h + 10h+60 .... distribute again twice more

area = h^2 + 16h + 60

You can also use the box method or the FOIL rule as alternative routes to find the area.

The units for the area are in square inches.

6 0
3 years ago
there are 15 people in a book club. ten people read for an average of 65 minutes each day. The remaining people read for an aver
serg [7]
Average of 10 people = 65

65 × 10 = 650

average of 5 people = 35

35 × 5 = 175

650 + 175 = 825

825 ÷ 15 = 55

the average reading time for the entire book club each day is 55 minutes a day
8 0
2 years ago
Read 2 more answers
HELP ASAP
DedPeter [7]

Answer:

x+y=$8,000 i guess

Step-by-step explanation:

5 0
3 years ago
I need help please anyone
Lisa [10]
I believe it’s 5, 2 you would just you 2,-2 as a line segment
7 0
2 years ago
Find the value of x for which ABCDVis a parallelogram
My name is Ann [436]

Answer:

ABCD is a parallelogram

therefore, AD II BC

angle ADB = angle CBD

42 = 7x

X = 6

8 0
2 years ago
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