Question

Lucy draws a line on a coordinate plane. Which transformation will always result in a line perpendicular to Lucy’s line?

A. reflect over the line y = x

B. dilate by a factor of 2 with the origin as the center of dilation

C. reflect over the x -axis, and then reflect over the y -axis

D. rotate 270° clockwise around the origin

Answer 1

@SmokeyBrown

Answer 2

I don't think A B or C are true, so I'd go with D by process of elimination

Answer 3

A certain mapping in the plane has the following two properties:

Point O maps to itself.

Every other point M maps to the point M', so that the counterclockwise angle from segment ​OM​​​ to segment OM​′​ measures 40 degrees and OM=OM'.

Which one of the following statements is true?

A. The properties define a reflection.


B. The properties define a rotation.


C. The properties define a translation.

Answer 4

Oh, it's a rotation. You could draw it out like this

Answer 5

https://imgur.com/dVmH5OU

Look at the angle formed by each spoke stretching to the outer edge of this wheel. What is the figure's order of rotational symmetry?

A. 4


B. 8


C. 16

Answer 6

That'd be 8, I'm pretty sure. Every time the spokes overlap during a rotation is an order of rotational symmetry, and that happens 8 times

Answer 7

https://imgur.com/9wgyrPB

What single transformation was applied to triangle A to get triangle B?

A. Dilation


B. Translation


C. Reflection


D. Rotation

Answer 8

I think this would be a reflection. You can draw it out to make sure.

Answer 9

Match each transformation to the correct description of their effect on the transformation of M and M'

The point M' (3, 2) is the image of point M(-3, -2).


______ reflection in y = x


_______rotation of 180° about the origin


_________reflection in the origin


__________reflection in y-axis following a reflection in x-axis


___________(x-3, y+2)


1. Will map M onto M'

2. Would not map M onto M'

Answer 10

I think the second third and fourth options would map M onto M', and the first and fifth options would not. Again, you can check with a drawing

Answer 11

https://imgur.com/jkadmb4

Jerome reflected this figure over the line y = 2.

Which graph shows the result?

A. https://imgur.com/nHTpDgU

B. https://imgur.com/K3DAoUf

C. https://imgur.com/RXlQnli

D. https://imgur.com/jcOrhDQ

Answer 12

The line y=2 is a horizontal line, so a reflection over this line would be a vertical reflection. Which graph depicts this vertical reflection?

Answer 13

D

Answer 14

Yup, you got it

Answer 15

https://imgur.com/z7c8mZP

Jacob transformed quadrilateral FGHJ to F'G'H'J'.

Which transformation did Jacob use?

A. reflection across the y -axis


B. reflection across the x -axis


C. reflection across the line y = 1


D. reflection across the line x = 1

Answer 16

Well, the choices are all reflections, so you should just find the line that cuts directly in the middle of the two shapes. That's the line they are reflected across

Answer 17

B.

Answer 18

Not quite. The x-axis is a horizontal line, so a reflection across that line would be vertical. But it looks like we're dealing with a horizontal reflection

Answer 19

oh it's C

Answer 20

Mm, close, but y = 1 is also a horizontal line

Answer 21

it's not B or C

so it has to be A or D

Answer 22

D

Answer 23

Yeah I'd agree with that

Answer 24

https://imgur.com/d7Zqsqm

Use the graph to answer the question.

Olivia reflects the triangle over the x-axis, then rotates it 90 degrees clockwise around the origin.

Which graph shows the resulting triangle?

A. https://imgur.com/99hTmmQ

B. https://imgur.com/hMRMdRS

C. https://imgur.com/WVI1ghh

D. https://imgur.com/oenhNim

Answer 25

You know, I think the triangle would actually return to its original position. What do you think?

Answer 26

hmm i believe so

IT'S A i believe

Answer 27

Yeah, what I said was incorrect, but I agree that A should be the right answer

Answer 28

are you sure ?

Answer 29

Point Q​′ is the image of Q(−5,1) under a translation by 6 units to the right and 2 units down.

What are the coordinates of Q​′ prime?

(________, __________)

Answer 30

Yeah I'm sure.
Translations are pretty simple. Since the point is shifted 6 units to the right, add 6 to the x coordinate. And since the shape is shifted 2 units down, subtract 2 from the y coordinate.
And then you'll have the new coordinates for the point

Answer 31

10, 12

Answer 32

Mm, try again. -1 + 6 is not 10, and 1 -2 is not 12

Answer 33

5, -1

Answer 34

Oh, I said the wrong thing. You'd add 6 to -5, not -1.

Answer 35

5, 1

Answer 36

Wait, I gave you the wrong instructions. The x coordinate should be -5 + 6. The y coordinate you got is correct

Answer 37

-5 + 6 = 1

-1 + 6 = 5

Answer 38

Yeah, that's it.
So the final coordinate should be (1, -1)

Answer 39

Point B​′​​(6,−5) is the image of B(−5,−2) under a translation.
Determine the translation.

Use non-negative numbers.

A translation by ________ units to the (right or left) _________ and _______ units (up or down) __________.

Answer 40

Well, from -5 to 6 is an increase of 11. So, that'd be 11 units to the right. And from -2 to -5 is a decrease of 3, so that'd be 3 units down

Answer 41

A translation by ________ 11 units to the (right or left) and

could you please go in order with this so that i could be able to understand it

Answer 42

Well, it'd be a translation by 11 units to the right. And 3 units down

Answer 43

Which of the following is true for two congruent triangles ΔABC and ΔDEF?

A. Any transformation will map one onto the other


B. Segment AB is congruent to Segment EF


C. Only a reflection will map one onto the other


D. ∠B is congruent to ∠E

Answer 44

I think D is the only statement that is necessarily true

Answer 45

A ladder leans against a wall, forming a right triangle. If the top of the ladder slides down a little from its original resting place, making the bottom of the ladder slide out and away from the wall, is the new triangle congruent to the one before?

A. No, because the angle formed by the ladder changed


B. Yes, because the ladder was rotated


C. Yes, because the ladder was translated


D. No, because the length of the ladder changed

Answer 46

Well, the angle formed by the ladder has changed, but congruent triangles have to have equal sides and angles

Answer 47

A

Answer 48

Which of the following transformation is NOT a congruence relationship?

A. https://imgur.com/kjuMpky

B. https://imgur.com/VUphtDz

C. https://imgur.com/dOn5oW9

D. https://imgur.com/wuCOwyP

Answer 49

Well, in one of these images the two shapes are noticeably different sizes from one another

Answer 50

C

Answer 51

RIGHT ?

Answer 52

Nah, the dotted lines in C show that the shapes are rotations of each other. So they would be congruent

Answer 53

B

Answer 54

Well, I was thinking of A. B looks like a reflection to me.

Answer 55

A right ?

Answer 56

ΔADF ≅ ΔMKP. Name the corresponding congruent sides and the corresponding congruent angles of these two triangles.

Segment AD is congruent to segment __________ , segment DF is congruent to segment _______, and segment FA is congruent to segment ______. Angle A is congruent to angle _______, angle D is congruent to angle _______, and angle F is congruent to angle_______.

Answer 57

Yeah, it would be A.

Answer 58

For the two congruent triangles, just pay attention to the order of the points. Segment AD is made up of the first two points in ΔADF, so it would be congruent to the segment made up of the first two points in ΔMKP, MK. Then, DF is made up of the last two points, so that would correspond to KP... And so on.
I think you'll have no problem matching up the angles, if you got that first part.

Answer 59

FA: PM

A: M

D: K

F: P

right ?

Answer 60

Yeah, excellent

Answer 61

Two slices of watermelon are cut so that they have the same exact interior angles. Are the watermelon slices congruent?

A. Yes, because the triangles have the same interior angles and the same side lengths


B. No, because the triangles have the same interior angles, but their side lengths may be different


C. No, because the triangles have the same side lengths, but their interior angles may be different


D. Yes, because the triangles only need the same interior angles to be congruent

Answer 62

Well, triangles aren't necessarily congruent just because they have the same interior angles. The side lengths could still be different

Answer 63

B

Answer 64

https://imgur.com/YsbvuqH

Use the trapezoid on the grid to answer this question.

Marvin reflected this trapezoid over a line, but only 2 of the vertices changed position. Which line could Marvin have used for the reflection?

A. y = 1 (red line)


B. x-axis


C. y-axis


D. x = 1 (blue line)

Answer 65

Yeah nice

Answer 66

Well, if two of the points stayed in the same position, which line would have to be used for the reflection?

Answer 67

d

Answer 68

Yup there you go

Answer 69

https://imgur.com/KxrfYeP

Ethan transformed quadrilateral ABCD to make quadrilateral A'B'C'D'.

Are quadrilaterals ABCD and A'B'C'D' congruent? Why or why not?

A. Yes, they are congruent. ABCD was translated to form A'B'C'D'.


B. Yes, they are congruent. ABCD was reflected to form A'B'C'D'.


C. No, they are not congruent. ABCD was translated to form A'B'C'D'.


D. No, they are not congruent. ABCD was reflected to form A'B'C'D'.

Answer 70

Well, they are congruent. What kind of transformation is it?

Answer 71

B

Answer 72

https://imgur.com/V8zaQdO

Use the graph to answer the question.

What is the result of rotating the triangle 90° counterclockwise around the point (2, -1)?

A. https://imgur.com/nGFcieJ

B. https://imgur.com/ojX7Zge

C. https://imgur.com/LdjR4pi

D. https://imgur.com/LdjR4pi

Answer 73

Hm, if the triangle is rotated counterclockwise, it should be in the upper-left quadrant.

Answer 74

for the first one is B right and this one is C ?

Answer 75

I think it'd be A and then D

Answer 76

https://imgur.com/qhRX9ma

The polygons QRST and KLMN are shown in the coordinate plane.

When applied to QRST, which combination of transformations can be used to show that QRST is congruent to KLMN?

A. a reflection across ST, followed by a translation 2 units right and 3 units up

B. a translation of 5 units to the right, followed by a translation of 4 units up

C. a reflection across the y-axis followed by a reflection across the line y = 1

D. a 180° rotation about point S, followed by a translation of 2 units to the right

Answer 77

I think A B and D would all be correct

Answer 78

you have to choose one

Answer 79

Hm, weird. They should all work

Answer 80

you have to choose only 1 it doesn't select all

Answer 81

say

Answer 82

Alright, A then.

Answer 83

An altitude is drawn inside an equilateral triangle creating two smaller triangles.
Which of the following rigid motion transformations would prove that the two smaller triangles are congruent?

A. Reflect one of the smaller triangles about the base of the equilateral triangle.

B. Rotate one of the smaller triangles 180° about the point of intersection of the altitude and the base of the equilateral triangle.

C. Rotate one of the smaller triangles 180° about the point of intersection of the altitude and the vertex it bisects.

D. Reflect one of the smaller triangles about the altitude line.

Answer 84

Oh yeah, reflecting the triangle over the altitude line would show they're congruent

Answer 85

D

Answer 86

RIGHT ?

Answer 87

?

Answer 88

Yeah, that's right

Answer 89

Line segment AB is shown on the graph.

https://imgur.com/C0JKnh0

Emily draws point C on the line segment so that the ratio of AC to CB is 3 to 1. What are the coordinates of point C?

A. (-1, 2)


B. (4, -0.5)


C. (3, 0)


D. (-2, 2.5)

Answer 90

i believe the answer is B

Answer 91

RIGHT ?

Answer 92

Use the graph to answer the question.

https://imgur.com/qd4zfZ6

Point G is drawn on the line segment so that the ratio of FG to GH is 5 to 1.

What are the coordinates of point G ?

A. (4, 4.6)


B. (4.5, 5)


C. (-5, -2.6)


D. (-5.5, -3)

Answer 93

I think the first one would be C

Answer 94

And I think the second would be A

Answer 95

Point A is at (-3, -5) and point B is at (1, -9).

What is the midpoint of line segment AB?

https://imgur.com/OmfcWZT

(_______, ________ )

Answer 96

I think it'd be (-1,-7)

Answer 97

Directed line segment AB is partitioned into a ratio of 1:3. Which of the following represent this relationship?

A. https://imgur.com/ZNIWf2n

B. https://imgur.com/zZ00sWj

C. https://imgur.com/bzVwhJa

D. https://imgur.com/DHod9VF

Answer 98

I'm pretty sure this one is D

Answer 99

Determine the point P that partitions the directed line segment AB into a ratio of 1:3, where A (2, 3) and B (14, 11).

Blank 1: x-coordinate

Blank 2: y-coordinate

Blank # 1 __________
Blank # 2 ____________

final question

Answer 100

I think it'd be (5,5)

Answer 101

Thank you smoke for all your help i really appreciate it, good night and get some good night rest

Answer 102

Thanks you too