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3 years ago

Which glide reflection describes the mapping ABC DEF

Mathematics

2 answers:

weeeeeb [17]3 years ago

8 0

Answer:

The answer to your problem is (x,y)⇒(x+1,y-2) and reflected over y=-1

Step-by-step explanation:

took the same test

almond37 [142]3 years ago

6 0

Answer:

1. Reflect ABC about the line AC and then translate 1 unit to the right.

2. Translate ABC 1 unit to the right and then reflect it about the line AC.

Step-by-step explanation:

We are given that,

ABC is transformed using glide reflection to map onto DEF.

Since, we know,

'Glide Reflection' is the transformation involving translation and reflection.

So, we can see that,

ABC can be mapped onto DEF by any of the following glide reflections:

1. Reflect ABC about the line AC and then translate 1 unit to the right.

2. Translate ABC 1 unit to the right and then reflect it about the line AC.

Hence, any of the two glide reflection will map ABC onto DEF.

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the equation of line cd is y = 3x − 3. write an equation of a line perpendicular to line cd in slope-intercept form that contain

liberstina [14]

Answer:

The required equation is $y=-\frac{1}{3}x+2$ .

Step-by-step explanation:

The equation of line cd is

$y=3x-3$

Slope intercept form of a line is

$y=mx+b$

Where, m is slope and b is y-intercept.

Slope of line cd is 3.

The product of slopes of two perpendicular lines is -1.

$m_1\times m_2=-1$

$3\times m_2=-1$

$m_2=-\frac{1}{3}$

Therefore slope of perpendicular line is $-\frac{1}{3}$ .

Point slope form of a line is

$y-y_1=m(x-x_1)$

Slope of perpendicular line is $-\frac{1}{3}$ and line passing through the point (3,1).

$y-1=-\frac{1}{3}(x-3)$

$y=-\frac{1}{3}x+1+1$

$y=-\frac{1}{3}x+2$

Therefore the required equation is $y=-\frac{1}{3}x+2$ .

4 0

3 years ago

Read 2 more answers

*15 points easy question*

maw [93]

Answer:

$\sqrt{13}$

Step-by-step explanation:

We are given an isosceles triangle. We need to remember the important rule that the base angles are equal. In this question we need to find the value of 'x' using a perpendicular height of 3 and a base length of 4. In this question we can half the triangle in half to help us find the value of x. Also we need to use Pythagoras theorem to help us find 'x'. Pythagoras states that a² + b² = c² so we want to find the hypotenuse of the triangle. If we half the triangle we get 2 triangle both with a base length of 2 and a perpendicular height of 3 so,

⇒ State Pythagoras theorem

→ a² + b² = c²

⇒ Substitute in the values

→ 3² + 2² = c²

⇒ Simplify

→ 9 + 4 = c²

⇒ Simplify further

→ 13 = c²

⇒ Square root both sides to find the value of 'c'

→ $\sqrt{13}$ = c

The value of x is the square root of 13

8 0

3 years ago

Need help with this

Marrrta [24]

Answer:

law of cosines states c^2=a^2+b^2-2abc

b^2=26^2+24^2-2(26×24)cos 134°

b^2=676+576-1248cos134°

cos134= -0.6946

b^2=1252-12(-0.6946)

12×(-0.6946)= -8.3352

b^2=1252-(-8.3352)

b^2=1252+8.3352

b^2=1260.33

b=√1260.33

b=35.50

7 0

2 years ago

Residents of a small city voted on whether to allow a developer to build a shopping center the number of votes in favor of the s

Sergeu [11.5K]

Total number of voters=4400+17600=22000

Percentage of voters in favour of the shopping center: 4400/22000=1/5=20/100=20%

Therefore, 20% of the voters are in favour of the shopping center

8 0

3 years ago

What is the missing constant term in the perfect square that starts x^2+10x?

max2010maxim [7]

<span>x^2+10x + 25 = (x + 5)^2

missing = 25

hope it helps</span>

4 0

3 years ago

Read 2 more answers

Which glide reflection describes the mapping ABC DEF​

Which glide reflection describes the mapping ABC DEF