Question

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Which description is true about ​ pre-image ABC ​ and ​ image A′B′C′ ​ ?

A. The image is a reflection of the pre-image across the y-axis.

B. The image is a dilation of the pre-image with a scale factor or 3.

C. The image is a rotation of the pre-image clockwise at 90°.

D. The image is a translation of the pre-image by moving up 2 units and to the right 2 units.

Answer 1

Well the new triangle A’B’C’ is in the same orientation as the original ABC right ? So it’s most likely not a 90 degree rotation or a reflection

Notice how the A’B’C’ is also bigger - would this be a translation or a dilation ?

Answer 2

Also tagging Aeon won’t do anything since she’s a chat AI not an actual person

Answer 3

dilation

Answer 4

Good so b is the only viable solution

Answer 5

also how you've been how was your summer ?

Answer 6

Fine

I’d rather stay on topic, lmk if you have more questions

Answer 7

https://static.k12.com/nextgen_media/assets/8072456-NG_GMT_SemA_CRD_NP024_70_prompt.jpg

What type of transformation is shown?

A. dilation

B. reflection

C. rotation

D. translation

Answer 8

Any ideas ? Notice how the image is being “mirrored” across the y-axis

Answer 9

YES IT'S A REFLECTION

Answer 10

Good

Answer 11

Which sequence of transformations will result in similar, but not congruent, figures?

A. An image is dilated and reflected.

B. An image is reflected and translated.

C. An image is rotated and reflected.

D. An image is translated and rotated.

Answer 12

Any ideas? Only one type of transformation actually changes the size of the image

Answer 13

A.

Answer 14

Good

Answer 15

https://static.k12.com/nextgen_media/assets/8072458-NG_GMT_SemA_CRD_DP024_71_002_prompt.jpg

Triangle ABC with vertices A(2,4) , B(4,0) , and C(6,6) is dilated about the origin to be triangle A′B′C′ .

Which statement is true?


A. TriangleABC is dilated by a scale factor or 0.5.

B. TriangleABC is dilated by a scale factor or 1.5.

C. TriangleABC is dilated by a scale factor or 2.

D. TriangleABC is dilated by a scale factor of 2.5.

Answer 16

@Vocaloid

Answer 17

Since it’s dilated about the origin we just have to compare A and A’

A’ is at (3,6)
A is at(2,4)

So to find the dilation factor you just have to divide A’ coordinates by A coordinates

So either 6/4 or 3/2

Answer 18

The answers are in decimals so you just have to find out what 6/4 is as a decimal

Answer 19

1.5

Answer 20

Good so answe B is the best choice

Answer 21

https://static.k12.com/nextgen_media/assets/8072459-NG_GMT_SemA_CRD_NP024_73_prompt.jpg

What is the value of x?


A. x = 45°

B. x = 65°

C. x = 70°

D. x = 115°

Answer 22

All the angles ina triangle add up to 180 so x must be
180 - the other two angles

Answer 23

B or D i'm thinking of

Answer 24

180 - 45 - 70 =?

Answer 25

65

Answer 26

B

Answer 27

Good

Answer 28

https://static.k12.com/nextgen_media/assets/8072460-NG_GMT_SemA_CRD_DP024_73_001_prompt.jpg

What is the value of x?


A. x = 55°

B. x = 60°

C. x = 70°

D. x = 110°

Answer 29

Well we know the two angles at the bottom sum up to (180-70 = 110) using the fact that all angles in a triangle sum up to 180

The bottom two angles are equal so just 110/2

Answer 30

A.

Answer 31

Good

Answer 32

Which justification describes the process?

Process:

Step 1: 4x + 2 = 10

Step 2: 4x = 8


A. Using the multiplication property of equality, 2 is multiplied to both sides of the equation.

B. Using the division property of equality, both sides of the equation are divided by 2.

C. Using the subtraction property of equality, 2 is subtracted from both sides of the equation.

D. Using the addition property of equality, 2 is added to both sides of the equation.

Answer 33

Hint - how did they go from 4x + 2 to just 4x? How did they “undo” the addition of 2?

Answer 34

D.

Answer 35

Hmm not quite, if they added 2 to both sides they would get 4x + 4 not 4x

They must have ~subtracted~ 2 to get 4x

Answer 36

so C is with the subtraction

Answer 37

Good

Answer 38

Given quadrilateral ABCD≅quadrilateral EFGH , which statement is true?


A. BD¯¯¯¯¯≅GH¯¯¯¯¯¯

B. DA¯¯¯¯¯≅BC¯¯¯¯¯

C. AC¯¯¯¯¯≅EG¯¯¯¯¯

D. CB¯¯¯¯¯≅FG¯¯¯¯¯

Answer 39

the lines is on top of them

Answer 40

I’m on my phone so I can’t really draw this out but if you try drawing the two shapes, labeling the points in the correct order, you will see that diagonal AC is congruent to diagonal EG making C the best choice

Answer 41

that's right

Answer 42

https://static.k12.com/nextgen_media/assets/8072466-NG_GMT_SemA_CRD_DP024_74_002_prompt.jpg

Given quadrilateralABCD≅quadrilateralEFGH , what is the value of x?


A. x = 75°

B. x = 80°

C. x = 100°

D. x = 105°

Answer 43

Angle D = angle H via congruency

And all the angles in a quadrilateral sum up to 360

So x = 360 -75 - 80 - 105

Answer 44

100

Answer 45

Good

Answer 46

Given △ABC≅△EFG , which congruency statement is true?


A. BA¯¯¯¯¯≅EF¯¯¯¯¯

B. AC¯¯¯¯¯≅EG¯¯¯¯¯

C. EC¯¯¯¯¯≅BF¯¯¯¯¯

D. CB¯¯¯¯¯≅GE¯¯¯¯¯

Answer 47

Kind of hav wto just draw this one out but AC and EG are equal

Answer 48

https://static.k12.com/nextgen_media/assets/8072471-NG_GMT_SemA_CRD_DP024_74_005_prompt.jpg

Given △ABC≅△EFG , what is the value of x?


A. x = 45°

B. x = 50°

C. x = 85°

D. x = 135°

Answer 49

C and G are equal via congruency

So x = 180 - 50 - 85 since we have a triangle and all angles sum up to 180

Answer 50

45

Answer 51

Good

Answer 52

What is the equation of a line that passes through (4,3) and has a slope of 2?


A. y = 2x − 5

B. y = 2x − 7

C. y = 2x − 11

D. y = 2x − 1

Answer 53

We start with y = mx + b

Plug in the slope and the x/y values to get

3 = 2(4) + b

Solve for b

Answer 54

-5

Answer 55

Good! So plugging that back into the original equation gives y = 2x - 5

Answer 56

What is the equation of the line that passes through (4,3) and (2,2) ?


A. y = 1/2x + 2

B. y = 1/2x + 2 1/2

C. y = 1/2x + 1

D. y = 2x − 2

Answer 57

Use the slope formula

(y2 - y1)/(x2-x1)

Where (x1, y1) = (4,3)
Where’re (x2,y2) = (2,2)

Answer 58

Or in other words, x1 = 4
x2 = 2
y1 = 3
y2 = 2

Answer 59

D.

Answer 60

1/2

Answer 61

Hmm not quite

Plugging in the values we get

m = (2-3)/(2-4) =

Answer 62

0.5

Answer 63

Good, since we are working with fractions we would want 1/2

That eliminates d but we need to keep going

We can plug in (2,2) to get

2 = (1/2)(2) + b solve for b

Answer 64

b + 1

Answer 65

Hmm not quite

Multiplying (1/2) and 2 gives us 1 right?

So 2 = b + 1
What is b equal to?

Answer 66

b = 1

Answer 67

Good so y = (1/2)x + 1
C

I probably have time for like 1 more before I gotta run on some errands

Answer 68

i got a few more and that's it trust me

Answer 69

https://static.k12.com/nextgen_media/assets/8072473-NG_GMT_SemA_CRD_DP024_76_001_prompt.jpg

What is the length of AB¯¯¯¯¯ ?


A. 4 units

B. 5 units

C. 6 units

D. 7 units

Answer 70

Pythagorean thereom

Notice how you can make a right triangle where AB is the hypotenuse and the sides are 3 and 4

So AB = sqrt(3^2 + 4^2)

Answer 71

5

Answer 72

Good so 5 = your solution

Answer 73

https://static.k12.com/nextgen_media/assets/8072474-NG_GMT_SemA_CRD_DP024_76_002_prompt.jpg

What is the area of the figure?


A. 45 cm²

B. 50 cm²

C. 70 cm²

D. 90 cm²

Answer 74

If you notice the whole shape is 18 units tall and the rectangular part is 10 units so the triangle must be 8 units tall

Area of triangle = (1/2)bh = (1/2)(5)(8)

Area of rectangle = lw = 10*5

So add up the areas of the rectangle and triangle

Answer 75

A.

Answer 76

M not quite

10*5 + (1/2)*5*8 =?

Be careful with order of operations

Answer 77

C

Answer 78

Good

Answer 79

When two parallel lines are cut by a transversal, which angle pairs are supplementary?


A. same side interior angles

B. alternate interior angles

C. alternate exterior angles

D. corresponding angles

Answer 80

This is a memorization based question but it’s same side interior angles (you can verify my drawing the scenario)

Answer 81

A.

Answer 82

Anyway I’ll be back in a few mins I need to move to a better WiFi spot

Answer 83

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