Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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preimage image scale factor = 1/4 image of two purple rectangles: large…
1280 \( u^2 \)
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triangle j k l is rotated 270° counterclockwise about the origin to for…
3
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what is the measure of angle bcd? 25° 40° 140° 155°
\(40^\circ\) (corresponding to the option with \(40^\circ\))
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how would you reflect the following points over the x–axis, the y–axis,…
- **Reflection over x - axis**: - \(A(2,4)\to A_x(2,-4)\) - \(B(5,2)\to B_x(5,-2)\) - \(C(3,-1)\to C_x(3,1)\) - **Reflection over y - axis**: - \(A(2,4)\to A_y(-2,4)\) - \(B(5,2)\…
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raj’s company ships t - shirts in boxes shaped like cubes. the picture …
The surface area of each box is \( 24 \) square feet.
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what is the measure of angle bcd? 25° 40° 140° 155° (diagram with angle…
140°
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preimage image scale factor = \\frac{1}{2} 6 22 what is the area of the…
\(33\ u^{2}\) (corresponding to the option "33 \(u^{2}\)")
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part ix - mathematics knowledge - you will have twelve (12) minutes 1. …
\( 3\frac{1}{3} \) (corresponding to option 6 - C) ### Problem 10: Find the square root of 85 correct to the nearest tenth
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figure abcd is a parallelogram. what is the value of x? a b 5x + 3 30 d…
7
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rhombus lmno is shown with its diagonals. angle mno measures 112°. what…
\(68^\circ\) (corresponding to the option with \(68^\circ\))
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what is the area of the preimage? 3 u² 10 u² 90 u² 30 u² (image shows p…
10 u² (Option: 10 u²)
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what is m ∠abc? ○ m ∠abc = 15° ○ m ∠abc = 45° ○ m ∠abc = 60° ○ m ∠abc =…
\(m\angle ABC = 60^\circ\) (the option corresponding to \(m\angle ABC = 60^\circ\))
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#1a what is the perimeter? if needed, round to 3 decimal places. liam i…
The perimeter is approximately \( \boldsymbol{19.799} \) inches (or \( 19.798 \) if using a different \( \sqrt{2} \) approximation). ### #1b: Area of the Rectangular Frame
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preimage image scale factor = 3 5 9 what is the area of the image? 450 …
\( 405 \, \text{u}^2 \) (corresponding to the option "405 u²")
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chang knows one side of a triangle is 13 cm. which set of two sides is …
8 cm and 9 cm
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what is the measure of angle s? 48° 56° 93° 101° (figure: quadrilateral…
\( 93^\circ \) (corresponding to the option with \( 93^\circ \))
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which is the best estimate for the volume of a coffee mug? 2 cups 25 ga…
2 cups
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connor is putting in a gravel driveway. it will be 30 feet long and 12 …
180 cubic feet
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what is the surface area of a cube with an edge length of 8 inches? 192…
\( 384\space in.^2 \)
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if isosceles triangle abc has a 130° angle at vertex b, which statement…
\(m\angle A + m\angle B = 155^{\circ}\) (the option with this statement)
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sofia cuts a piece of felt in the shape of a kite for an art project. t…
21 cm (corresponding to the option "21 cm")
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what steps would you take to determine if these figures are similar? ch…
- Multiply the vertices of polygon ABCD by $\frac{1}{2}$. - Translate the intermediate image 4 units down.
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1. if one angle measures 65°, which of the following is its supplementa…
C. \(115^\circ\) ### Question 2
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a scale drawing of a room is shown below. in the drawing, the room is (…
$150\ ft^2$ (corresponding to the option "150 $ft^2$")
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figure cdef is a parallelogram. 10r - 20, 2r + 12, 6r. what is the valu…
5
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in parallelogram wxyz, what is cy? 11 ft 15 ft 21 ft 23 ft
15 ft
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what is the image of (4, −7) after a reflection over the line y = x? an…
\((-7, 4)\)
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current skill $ show w 6 x 4y + 10 y 7y - 41 find wy. figure is not dra…
\( 92 \)
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2. work in a small group to answer the following questions. what do you…
The number visuals show numbers represented as dot/circle groups in various shapes (circles, triangles, rectangles, scattered). Patterns in grouping (e.g., by shape, quantity) and…
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which sequence of transformations could map △abc to △xyz? ○ a reflectio…
a dilation by \(\frac{1}{4}\) and a translation
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what is the volume of the rectangular prism shown? image of a green rec…
\( 18\frac{3}{64}\text{ in}^3 \)
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what is the image of (4, -7) after a reflection over the line y = x? an…
\((-7, 4)\)
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points w, x, and y are collinear. point x is between w and y, wx = 7z +…
127
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points p, q, and r are collinear. point q is between p and r, pq = 7z +…
\( PQ = 207 \), \( QR = 185 \), \( PR = 392 \)
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transformation quiz review due: september 14 at 11:59 pm grade: 32% pro…
Coordinates of \(R\): \((-1, 3)\) Coordinates of \(R'\): \((1, 3)\)
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find the indicated side of the right triangle. image of a right triangl…
9
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current skill $ p 4z + 4 q 2 r 6z - 40 find pr. figure is not drawn to …
100
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find the indicated side of the right triangle. triangle with 45° angle,…
\( y = 6\sqrt{2} \) (so the first box is 6, the second is 2)
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in the number visual different shapes{ circles, triangle, grids cluster…
In a number - visual with shapes: Circles may have 5 dots (5 - frame pattern), triangles 3 (odd - number link), grids 9 (3x3). Color - highlight same - number groups (e.g., 2 - do…
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find the indicated side of the right triangle. image of a right triangl…
6
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△rst is dilated with the rule ( d_{t, 1/3} (x, y) ), where the center o…
- The distance between the x - coordinates of R and T is \( 3 \). - The distance between the y - coordinates of R and T is \( 6 \). - R' is \( \frac{1}{3} \) the distance from T (…
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3. look for interesting patterns. you may find it useful to use colors …
Possible patterns: 1. Same number of dots (e.g., 16 - dot circles and 4×4 square - dot grids). 2. Repeating shapes (circles, stars, triangles, square - dot grids). 3. Alternating …
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determining the similarity transformation which composition of similari…
a dilation with a scale factor greater than 1 and then a translation
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numbers are shown? feel free to write more on the drawing to help your …
Patterns include sequential numbers (1,2,3…), triangular numbers (1,3,6…), square numbers (4,9,16…), and repeating shapes (circles, triangles, grids) with increasing dot counts. F…
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determining similar rectangles which graph has figures that can undergo…
The rightmost graph (fourth one) has similar rectangles (since their length-to-width ratios are equal, allowing a similarity transformation).
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score on last try: 0.5 of 4 pts. see details for more. at least one sco…
\( 1098.16 \)
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calculating a scale factor quadrilateral qrst is dilated and translated…
$\frac{1}{3}$
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2. part b: which of the following quotes best supports the answer to pa…
B. " 'The study demonstrates that the attention of adolescents is especially drawn to rewarding information' " (Paragraph 12)
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2. part b: which of the following quotes best supports the answer to pa…
B. "The study demonstrates that the attention of adolescents is especially drawn to rewarding information" (Paragraph 12)
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question 8 round answer to 2 decimal places if needed. surface area of …
Surface Area of Sphere = \( \boldsymbol{514.72\space cm^{2}} \) Volume of Sphere = \( \boldsymbol{1097.50\space cm^{3}} \)
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what is the image of (2, -1) after a reflection over the y-axis?
\((-2,-1)\)
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find the volume and surface area of the orange. the orange was sliced i…
Surface Area of Orange Peel = \( 201.06 \) \( cm^2 \) Volume of Orange = \( 268.08 \) \( cm^3 \)
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points a, b, and c are collinear. solve for x ab = 2x+1, bc = 15, and a…
\( x = 7 \) ### Second Problem (Solve for \( AB \) with \( AB = 4x - 1 \), \( BC = 5x + 11 \), \( AC = 100 \))
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what is the image of (-7, -2) after a reflection over the y - axis?
\((7, - 2)\)
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w 4x + 12 x x y 52 find xy. figure is not drawn to scale.
\( 8 \)
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find the surface area and volume of sphere. round answer to 2 decimal p…
Surface Area of Sphere = \(\boxed{1520.53}\) Volume of Sphere = \(\boxed{5575.28}\)
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find the area of the shaded region. the area of the shaded region is 14…
\( 49\pi \)
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which number line shows the solutions to (\frac{1}{2}x - 2 > 0)?
The second number line (from top) with open circle at 4 and arrow to the right (e.g., the one with red segment starting at open circle 4 and going right).
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find the surface area and volume of the sphere. image of a sphere with …
Surface Area of Sphere = \(\boldsymbol{380.13}\) (rounded to 2 decimal places) Volume of Sphere = \(\boldsymbol{706.86}\) (rounded to 2 decimal places)
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find the distance between points s and u. (number line with s at -100, …
20
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what is the image of (-4, -7) after a reflection over the x-axis?
\((-4,7)\)
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what is the image of (-9,0) after a reflection over the x-axis? answer …
\((-9,0)\)
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answer a reflection over the y - axis a reflection over the x - axis a …
A reflection over the \(x\) - axis
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nccer 26111 - residential wiring 37 min what is the living area of a re…
650 ft² (corresponding to the first option)
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figure b is the result of a transformation on figure a. which transform…
A reflection over the \(y\)-axis
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∠abc measures 38°. what is the measure of ∠dba? diagram: lines dc (with…
52
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question figure q is the result of a transformation on figure p. which …
A reflection over the \(y\) - axis
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using dilations to make similar figures given △abc, use a dilation with…
\((6, - 3)\) (corresponding to the option D. \((6, - 3)\) if we consider the options as A. \((-6,3)\), B. \((-3,6)\), C. \((3,-6)\), D. \((6,-3)\))
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complete this sentence with the best of the choices given. a good defin…
C. converse
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a rectangular carton has length 25 cm, width 16 cm, and height 14 cm. f…
(Volume): \( 5600 \, \text{cm}^3 \) #### b) Surface Area of the Rectangular Carton
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use the unit circle to find the value of \\(\\cos \\frac{\\pi}{2}\\) an…
For \(\cos\frac{9\pi}{2}\), the correct choice is A and \(\cos\frac{9\pi}{2}=\boldsymbol{0}\)
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which of the four major transformations does not preserve size? answer …
Dilation
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question this is the only question in this section. question what is th…
Rigid motion or Isometry
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angles 3 and 5 are the equation can be used to solve for x, m∠5 = °
Angles 3 and 5 are \(\boldsymbol{\text{consecutive interior angles}}\) (supplementary). The equation \(\boldsymbol{120 + x = 180}\) (or similar) solves for \( x \). \( m\angle 5 =…
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a small box measures 12 in. by 9 in. by 10 in. high. find the volume of…
\( 1080 \) ### Second Problem (Rectangular Solid) #### a) Volume
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use the formula for the area of a rectangle ( a = lw ) to answer the qu…
\( n(n - 6) \) (corresponding to the option "n(n - 6)")
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problem 7: (first taught in lesson 26) determine whether this definitio…
The answer is incorrect. The correct analysis is as follows: ## Step1: Find the converse The original statement is "If two angles are a linear pair, then the sum of their measures…
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question this is the only question in this section. question point (2, …
\((7, -6)\) (corresponding to the option " (7, -6)")
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question 1 find the volume of the rectangular solid with length ( l = 7…
\( 220 \)
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∠abc measures 38°. what is the measure of ∠dba? diagram: lines intersec…
142 (corresponding to the option "142")
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problem 8: (first taught in lesson 26) determine whether this definitio…
The definition passes the reversibility test (the converse is true).
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press try to test a translation or sequence of translations. figure k f…
A translation \(\boldsymbol{8}\) units right and \(\boldsymbol{8}\) units up. (Or if we consider the first box for horizontal and second for vertical, the first box is \(8\) (righ…
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problem 9: identify this pair of angles and decide whether the pair is …
A. alternate interior angles; congruent
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13) ( mangle vuk = 2x + 57 ), ( mangle vut = 101^circ ), and ( mangle k…
\( 44^\circ \) Now problem 14:
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∠abc measures 38°. what is the measure of ∠dba? diagram: two lines inte…
52
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problem 10: identify this pair of angles and decide whether the pair is…
$\angle 2$ and $\angle 6$ are corresponding angles and they are congruent.
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problem 11: (first taught in lesson 24) from this given statement, sele…
A. If two parallel lines are cut by a transversal, then corresponding angles are supplementary.
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points a, b, and c are collinear. ab = 2x+1, bc = 15, and ac = 5x-5. so…
For the first sub - question (Solve for \(x\)): \(x = 7\) For the second sub - question (Solve for \(AB\)): \(AB=39\)
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derek tried to dilate the isosceles trapezoid abdc with the center of d…
The slope of \( AC \) is \( \boldsymbol{4} \). The slope of \( EG \) is \( \boldsymbol{2} \). The polygons are not dilations of each other because \( \boldsymbol{\text{the corresp…
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problem 12: from this given statement, select the definition, property,…
The theorem that justifies this is the "Alternate Interior Angles Theorem" (or Postulate), which states that if two lines are cut by a transversal and the alternate interior angle…
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use the unit circle to find the value of tan 2π and even or odd trigono…
\(\tan(2\pi)=0\)
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problem 13: (first taught in lesson 18) from this given statement, sele…
Vertical Angles Theorem (or the definition of vertical angles, stating that vertical angles are congruent)
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problem 14: (lesson 23) complete this sentence by selecting always, som…
B. sometimes
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problem 15. complete this sentence by selecting always, sometimes, or n…
A. always
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triangle xyz was dilated using the rule $d_{o,0.25} (x, y) \\to (0.25x,…
\( (-8, -4) \)
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problem 16: given ℓ || m, find the measure of ∠ptu. (first taught in le…
48°
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problem 5: complete this sentence with the best of the choices given. i…
C. are parallel
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what is the area, in square centimeters, of a rectangle with a length o…
The area of the rectangle is \( 30 \) square centimeters.
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finding the vertex from the pre-image the rule for the dilation of quad…
\((0, 1)\)
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use the unit circle to find the value of \\( \\sin \\frac{5\\pi}{3} \\)…
\(-\frac{\sqrt{3}}{2}\)