Mathematics
bill533:

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

6 months ago
bill533:

@SmokeyBrown

6 months ago
SmokeyBrown:

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

6 months ago
bill533:

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.

6 months ago
SmokeyBrown:

Oh, it's a rotation. You could draw it out like this|dw:1542600136926:dw|

6 months ago
bill533:

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

6 months ago
SmokeyBrown:

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

6 months ago
bill533:

https://imgur.com/9wgyrPB What single transformation was applied to triangle A to get triangle B? A. Dilation B. Translation C. Reflection D. Rotation

6 months ago
SmokeyBrown:

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

6 months ago
bill533:

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'

6 months ago
SmokeyBrown:

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

6 months ago
bill533:

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

6 months ago
SmokeyBrown:

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?

6 months ago
bill533:

D

6 months ago
SmokeyBrown:

Yup, you got it

6 months ago
bill533:

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

6 months ago
SmokeyBrown:

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

6 months ago
bill533:

B.

6 months ago
SmokeyBrown:

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

6 months ago
bill533:

oh it's C

6 months ago
SmokeyBrown:

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

6 months ago
bill533:

it's not B or C so it has to be A or D

6 months ago
bill533:

D

6 months ago
SmokeyBrown:

Yeah I'd agree with that

6 months ago
bill533:

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

6 months ago
SmokeyBrown:

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

6 months ago
bill533:

hmm i believe so IT'S A i believe

6 months ago
SmokeyBrown:

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

6 months ago
bill533:

are you sure ?

6 months ago
bill533:

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? (________, __________)

6 months ago
SmokeyBrown:

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

6 months ago
bill533:

10, 12

6 months ago
SmokeyBrown:

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

6 months ago
bill533:

5, -1

6 months ago
SmokeyBrown:

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

6 months ago
bill533:

5, 1

6 months ago
SmokeyBrown:

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

6 months ago
bill533:

-5 + 6 = 1 -1 + 6 = 5

6 months ago
SmokeyBrown:

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

6 months ago
bill533:

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) __________.

6 months ago
SmokeyBrown:

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

6 months ago
bill533:

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

6 months ago
SmokeyBrown:

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

6 months ago
bill533:

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

6 months ago
SmokeyBrown:

I think D is the only statement that is necessarily true

6 months ago
bill533:

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

6 months ago
SmokeyBrown:

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

6 months ago
bill533:

A

6 months ago
bill533:

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

6 months ago
SmokeyBrown:

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

6 months ago
bill533:

C

6 months ago
bill533:

RIGHT ?

6 months ago
SmokeyBrown:

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

6 months ago
bill533:

B

6 months ago
SmokeyBrown:

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

6 months ago
bill533:

A right ?

6 months ago
bill533:

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_______.

6 months ago
SmokeyBrown:

Yeah, it would be A.

6 months ago
SmokeyBrown:

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.

6 months ago
bill533:

FA: PM A: M D: K F: P right ?

6 months ago
SmokeyBrown:

Yeah, excellent

6 months ago
bill533:

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

6 months ago
SmokeyBrown:

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

6 months ago
bill533:

B

6 months ago
bill533:

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)

6 months ago
SmokeyBrown:

Yeah nice

6 months ago
SmokeyBrown:

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

6 months ago
bill533:

d

6 months ago
SmokeyBrown:

Yup there you go

6 months ago
bill533:

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'.

6 months ago
SmokeyBrown:

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

6 months ago
bill533:

B

6 months ago
bill533:

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

6 months ago
SmokeyBrown:

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

6 months ago
bill533:

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

6 months ago
SmokeyBrown:

I think it'd be A and then D

6 months ago
bill533:

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

6 months ago
SmokeyBrown:

I think A B and D would all be correct

6 months ago
bill533:

you have to choose one

6 months ago
SmokeyBrown:

Hm, weird. They should all work

6 months ago
bill533:

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

6 months ago
bill533:

say

6 months ago
SmokeyBrown:

Alright, A then.

6 months ago
bill533:

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.

6 months ago
SmokeyBrown:

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

6 months ago
bill533:

D

6 months ago
bill533:

RIGHT ?

6 months ago
bill533:

?

6 months ago
SmokeyBrown:

Yeah, that's right

6 months ago
bill533:

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)

6 months ago
bill533:

i believe the answer is B

6 months ago
bill533:

RIGHT ?

6 months ago
bill533:

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)

6 months ago
SmokeyBrown:

I think the first one would be C

6 months ago
SmokeyBrown:

And I think the second would be A

6 months ago
bill533:

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 (_______, ________ )

6 months ago
SmokeyBrown:

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

6 months ago
bill533:

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

6 months ago
SmokeyBrown:

I'm pretty sure this one is D

6 months ago
bill533:

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

6 months ago
SmokeyBrown:

I think it'd be (5,5)

6 months ago
bill533:

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

6 months ago
SmokeyBrown:

Thanks you too

6 months ago