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Slav-nsk [51]
2 years ago
11

Dilate ABC below using A as the center and a scale factor of 2. Leave all construction marks?

Mathematics
1 answer:
irina1246 [14]2 years ago
8 0
<h3>Answer: Check out the diagram below.</h3>

Explanation:

Use your straightedge to extend segment AB into ray AB. This means you'll have it start at A and go on forever through B. Repeat these steps to turn segment AC into ray AC.

The two rays join at the vertex angle A. Point A is the center of the universe so to speak because it's the center of dilation. We consider it an invariant point that doesn't move. Everything else will move. In this case, everything will move twice as much compared to as before.

Use your compass to measure the width of AB. We don't need the actual number. We just need the compass to be as wide from A to B. Keep your compass at this width and move the non-pencil part to point B. Then mark a small arc along ray AB. What we've just done is constructed a congruent copy of segment AB. In other words, we've just double AB into AB'. This means the arc marking places point B' as the diagram indicates.

The same set of steps will have us construct point C' as well. AC doubles to AC'

Once we determine the locations of B' and C', we can then form triangle A'B'C' which is an enlarged copy of triangle ABC. Each side of the larger triangle has side lengths twice as long.

Note: Points A and A' occupy the same exact location. As mentioned earlier, point A doesn't move.

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| 2. On rectangle ABCD below, if A is located at
vovangra [49]

Answer:

-2

Step-by-step explanation:

Given that:

A = (3, 4) ; B = (7, 6)

In triangle ABCD, AB and BC are Perpendicular lines :

Slope AB = Rise / Run = (y2 - y1) / (x2 - x1)

y2 = 6 ; y1 = 4 ; x2 = 7 ; x1 = 3

Slope AB = (6 - 4) / (7 - 3) = 2 / 4 = 1 / 2

To obtain the slope of BC:

RECALL:

product of the slope of 2 Perpendicular lines = - 1

Slope AB * Slope BC = - 1

1 / 2 * slope BC = - 1

Slope BC = - 1 ÷ 1/2

Slope BC = - 1 * 2/1

Slope BC = - 2

HENCE, slope of BC = - 2

6 0
3 years ago
What is 6743 divided by 4
Tresset [83]

Answer:

1685.75

Step-by-step explanation:

i used a calculator

8 0
3 years ago
Read 2 more answers
Find the volume of the cone shown, if r=8 cm and AC=AB=17 cm
Papessa [141]

Answer:

1005.3 cm³

Step-by-step explanation:

The radius of the cone (r) is 8 cm and the slant height is AC = AB = 17 cm.

Therefore, the height of the cone (h) will be given by \sqrt{17^{2} - 8^{2}} = \sqrt{225} = 15 cm.

We have to calculate the volume of the cone.

Therefore, the volume of the cone will be given by \frac{1}{3}\pi  r^{2}h

= \frac{1}{3} \times \frac{22}{7} \times 8^{2}\times 15

= 1005.3 cm³ (Answer)

3 0
3 years ago
How do you solve this algebreically?<br> 3/8=x/20
Llana [10]

Answer:

7.5

Step-by-step explanation:

3/8 = x/20

3(20) = 8x

8x = 60

x = 60/8

x = 7.5

6 0
3 years ago
Acellus
kkurt [141]

Answer:

do you have any other info

Step-by-step explanation:

8 0
3 years ago
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