Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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2. determine the surface area of each of the shipping boxes. complete t…
2. Without box dimensions, we can't calculate the surface areas. But use the formula $SA = 2lw + 2wh+2lh$ for each box. 3. Once surface areas are calculated, the box with the smal…
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which angles are congruent to each other? ∠4 and ∠2 ∠1 and ∠2 ∠2 and ∠8…
∠2 and ∠8
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1. list all the various dimensions of the shipping box into which you c…
| Length (in) | Width (in) | Height (in) | Surface area (square inches) | |----|----|----|----| | 20 | 150 | 10 | 9400 | | 30 | 100 | 10 | 8600 | | 50 | 60 | 10 | 8200 | | 30 | 50…
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which angles are adjacent to each other? ∠8 and ∠9 ∠7 and ∠8 ∠14 and ∠8…
∠7 and ∠8
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which angles are adjacent to each other? ∠10 and ∠3 ∠11 and ∠10 ∠8 and …
∠11 and ∠10
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which angles are supplementary to each other? ∠10 and ∠2 ∠9 and ∠12 ∠11…
∠11 and ∠9
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which angles are adjacent to each other? ∠11 and ∠2 ∠9 and ∠7 ∠4 and ∠1…
∠6 and ∠7
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which angles are vertical to each other? ∠7 and ∠4 ∠7 and ∠3 ∠5 and ∠7 …
∠7 and ∠3
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which angles are congruent to each other? ∠5 and ∠7 ∠6 and ∠10 ∠4 and ∠…
∠5 and ∠7
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which angles are adjacent to each other? ∠9 and ∠14 ∠13 and ∠12 ∠12 and…
$\angle12$ and $\angle9$
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which angles are vertical to each other? ∠8 and ∠6 ∠3 and ∠6 ∠2 and ∠5 …
∠8 and ∠6
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by making a net of a cube, we construct a shape with six identical squa…
1. A. 2. (Descriptions of five hexominoes are given above)
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which angles are alternate interior angles? ∠mnq and ∠rqs ∠mnq and ∠rqn…
$\angle MNQ$ and $\angle RQN$
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which angles are supplementary angles? ∠yxu and ∠wxz ∠yxu and ∠vus ∠yxu…
∠YXU and ∠WXU
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which angles are adjacent angles? ∠ghf and ∠ihf ∠ghf and ∠lkm ∠ghf and …
$\angle GHF$ and $\angle IHF$
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which angles are supplementary angles? ∠tur and ∠vur ∠tur and ∠qrp ∠tur…
$\angle TUR$ and $\angle VUR$
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which angles are corresponding angles? ∠uvs and ∠tsv ∠uvs and ∠uvx ∠uvs…
$\angle UVS$ and $\angle RSQ$
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which angles are corresponding angles? ∠ijl and ∠fge ∠ij g and ∠kjl ∠hg…
∠HGJ and ∠KJL
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which angles are alternate interior angles? ∠lmj and ∠lmo ∠lmj and ∠kjh…
\(\angle LMJ\) and \(\angle KJM\)
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which angles are alternate interior angles? ∠jif and ∠gfi ∠jif and ∠efi…
$\angle JIF$ and $\angle EFI$
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which angles are adjacent angles? ∠lmk and ∠lmp ∠qpr and ∠opm ∠opm and …
∠LMK and ∠LMP
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tv and wy are parallel lines. which angles are vertical angles? ∠yxz an…
$\angle YXZ$ and $\angle WXU$
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eg and hj are parallel lines. which angles are supplementary angles? ∠h…
∠HIK and ∠JIK
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oq and rt are parallel lines. which angles are supplementary angles? ∠o…
∠OPN and ∠QPN
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km and np are parallel lines. which angles are corresponding angles? ∠p…
$\angle POL$ and $\angle MLJ$
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df and gi are parallel lines. which angles are vertical angles? ∠fec an…
\(\angle FEC\) and \(\angle DEH\)
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tv and wy are parallel lines. which angles are vertical angles? ∠vux an…
$\angle VUX$ and $\angle YXU$
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analyzing trigonometric functions what are the input and output values …
Input: $60^{\circ}$; output: $\frac{\sqrt{3}}{2}$
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the diagram shows how cory used a compass to make a circle with radius …
B. \(AB = CD\)
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jl and mo are parallel lines. which angles are alternate interior angle…
$\angle LKN$ and $\angle MNK$
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2.2 principles of design emphasis emphasis is the part of the design th…
For Emphasis: 1. Size 2. Line For Movement: 1. Line 2. Shape
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5.5 angle relationships with parallel lines decide whether the statemen…
1. \(x = 29\) 2. \(x = 22\) 3. \(x = 15\) 4. \(x = 12\) 5. \(x=-\frac{20}{9}\) 6. \(x = 24\)
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1-22 find the perimeter and area of each figure below. be sure to show …
a) Perimeter: 16 units, Area: 9 square units b) Perimeter: 24 ft, Area: 28 square ft c) Perimeter: 46 cm, Area: 120 square cm
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1. write an equation using the angles in this diagram. then solve your …
1. \(x = 15\) 2. \(y = 15\) 3. a. \(242\) \(cm^{2}\) b. \(245\)
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part c find the components of the vector $vec{c}$ with length $c = 1.00…
$0.574,0.819$
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which graph represents the solution set of this inequality? -3b - 15 > …
A. Option with open - circle at 3 and arrow pointing left.
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how do i graph the inequality? graph x <= 5. switch direction make circ…
1. Locate 5 on the number line. 2. Place a closed (filled - in) circle at 5. 3. Draw an arrow to the left of 5 to represent all values of $x$ such that $x\leq5$.
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duncan and his friends like to invent games to play after school. today…
outside the circle
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what is the value of g? 67.8° 26.4° g
41.4
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the measure of an angle is 179.9°. what is the measure of its supplemen…
$0.1$
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what is the value of u? 43.9° 70.5°
\(26.6\)
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what is the value of k?
$46.1$
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the measure of an angle is 7.2°. what is the measure of its complementa…
$82.8$
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what is the value of u? 45.2° 26.8°
\(18.4\)
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what is the value of y?
$53.7$
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the measure of an angle is 102.2°. what is the measure of its supplemen…
$77.8$
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a band wants to set up a microphone centered on the left half of a 20 -…
5 feet
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what is the value of u? 130.8° u
\(49.2\)
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problem 2 rectangle a measures 8 inches by 2 inches. rectangle b is a s…
A. 40 inches by 10 inches, B. 10 inches by 2.5 inches, E. 6.4 inches by 1.6 inches
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the measure of an angle is 15.1°. what is the measure of its complement…
$74.9$
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a band wants to center a microphone stand on stage. the stage is 20 fee…
10 feet
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a statement is given: \if a ray is a bisector of an angle, then it spli…
If a ray splits an angle into two angles, then it is a bisector of the angle.
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what is the value of m?
$29.8$
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what is the value of k?
31
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the measure of an angle is 21°. what is the measure of its complementar…
69
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a mirror should be centered on a wall. the mirror is 3 feet wide. the w…
4.5
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you will need a centimeter ruler for the problem in which you draw a ki…
B. Segment $CD$ is half the length of segment $GH$. C. The measure of angle $ADC$ is equal to the measure of angle $EHG$.
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the measure of an angle is 110°. what is the measure of its supplementa…
$70$
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after observing this pattern, hideko made a conjecture for the next sha…
The shape with the shaded part in the top - right quarter of the circle.
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parents of kids on a soccer team often must help set up the fields befo…
6 steps
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what is the value of p? 111°
\(69\)
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the measure of an angle is 25°. what is the measure of its complementar…
$65$
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the measure of an angle is 91°. what is the measure of its supplementar…
89
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a couch should be centered along a wall in a room. the couch is 10 feet…
3
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which graph represents the solution set of this inequality? 9 - 4d ≥ - …
The graph with a closed circle at 3 and an arrow extending to the left represents the solution set of the inequality. Without specific labels for each graph in your image, you sho…
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1. cost of the tile needed. a. calculate the surface area of all of the…
The area of one tile is $100$ $cm^{2}$. The number of tiles $n=\frac{A_{total}}{100}$ (where $A_{total}$ is the total area of rectangles to be tiled in $cm^{2}$), and the total co…
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25. the lengths of the sides of a triangle are in the ratio 5:6:7. desc…
The length of the longest side is less than 21 cm.
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segment addition postulate (coloring activity) name follow the instruct…
1. 45 2. 52 3. 6 4. 11 5. 54 6. 18 7. 26 8. 3.4 9. 43 10. $9x-28$
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on tuesdays we have the woman question, and the emancipation of this or…
Their sidelong glances indicate that they feel superior to the narrator but also secretly consider her intriguing.
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problem 3 a scale drawing of a rectangular parking lot is 6 inches long…
A. 48,000
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g ratios of similar right triangles reset scale factor n: 1 ∠a = 30° ∠c…
$\frac{1}{2}$
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ratios of similar right triangles create similar right triangles by cha…
$\frac{1}{2}$
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rizing ratios of similar right triangles create similar right triangles…
$\frac{1}{2}$
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g sides of right triangles complete the table to show the name of each …
| | a | b | c | |--|--|--|--| | ∠A | Opposite Side | Adjacent Side | Hypotenuse | | ∠B | Adjacent Side | Opposite Side | Hypotenuse |
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foreboding . . ., if it had not seemed so tired, slats missing from a c…
The image of an empty snail shell draws attention to the narrator's mental state, suggesting she feels hollow and displaced in the house.
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what combination of transformations is shown below?
Translation and rotation.
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people often notice that pets and their owners look alike. a person wit…
Given that people matched photos correctly more often than not, the similarities between pets and owners likely follow consistent patterns.
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reflection, then translation reflection, then rotation translation, the…
reflection, then translation
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3.2.2 hw 1. what is the area of each part of the entire rectangle at ri…
1. Areas of parts: $x^{2},7x,-5x,-35$; Area of whole rectangle as product: $(x - 5)(x + 7)$; as sum: $x^{2}+2x-35$ 2. a. $x=-6$; b. $b = 10$; c. $x = 2$; d. $a=-22$ 3. $w = 4$ wee…
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6) rotation: 90° clockwise about the origin
The new vertices of the rotated triangle are $(4,4)$, $(0,3)$ and $(2,1)$.
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what is the slope of the line in this graph?
A. 1
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5) reflection: across the line y = 2 x - axis
The new vertices of the reflected triangle are $(1,-1)$, $(1,-4)$ and $(5,-3)$.
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5) rotation: 90° ccw about the origin
The new coordinates of the vertices of the rotated figure are obtained by applying the rule $(x,y)\to(-y,x)$ to each vertex of the original figure. The new points (assuming origin…
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∠efg and ∠gfh are a linear pair, m∠efg = 2n + 16, and m∠gfh = 5n + 24. …
$m\angle EFG = 56^{\circ}$ $m\angle GFH = 124^{\circ}$
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2) reflection across y - axis
The new figure is obtained by applying the rule $(x,y)\to(-x,y)$ to each vertex of the original figure and then connecting the new vertices.
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use the figure to determine the intersection of planes dcg and eab. cho…
C. $\overleftrightarrow{DC}$
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think about how the net can be folded to form a cube. what is the numbe…
3
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find the area of the circle with the following dimension. diameter = 18…
$254.5$
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find the area of the circle with the following dimension. radius = 12 i…
$452.4$
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find the area of the circle. the area is m². (type an exact answer in t…
$4\pi$
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describe a sequence of translations translation, then rotation translat…
rotation, then translation
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what is the area of a section of pavement that is 20 ft wide and 100 yd…
6000
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translation, then reflection reflection, then translation reflection, t…
translation, then reflection
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find the area of the rectangle with the given base and height. 5 ft, 3 …
$\frac{5}{4}$
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determining side lengths of special right triangles. what are the lengt…
AC = 5 and BC = 5√3
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graph the following figure in the coordinate plane. find the perimeter.…
$14+\sqrt{34}$
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what is a reflection rule that maps each triangle and its image? the re…
\(r(x,y)=(-y,-x)\); \(y=-x\)
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describe a sequence of transformations: reflection, then translation; r…
rotation, then translation
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every morning, jane runs around a rectangular garden with a length of l…
B. 8(l + w)
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describe a sequence of transformation: translation, then rotation; refl…
D. reflection, then translation