Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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practice: running track measures image of a circle with radius labeled …
The distance around the running track is \( 0.628 \) miles.
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the following figure shows △abc with side lengths to the nearest tenth.…
\(9.1\)
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points w, k, and b are collinear. line ca and line yk intersect at poin…
s: - Line \( CA \) and line \( YK \) intersect at \( A \) (or \( K \) – depending on diagram, but likely \( A \)). - Point \( A \) is not contained on line \( BC \). But to match …
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the following figure shows △abc with side lengths to the nearest tenth.…
$135$
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name: jaxson veyles date: 9/10/20 skills check - triangle congruence mu…
e. Yes, by HL ### Question 3
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what type of quadrilateral has the vertices a(3, 6), b(3, 3), c(6, 3), …
A. square
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a line segment is defined by which of the following statements? a. two …
C. All points between and including two given points.
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points w, k, and are collinear. line ca and line intersect at . point i…
### First Blank (Points W, K, and _ are collinear) #### Explanation: Collinear points lie on the same straight line. Looking at the diagram, points W, K, and B (or Y? Wait, no, le…
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which is a mathematical statement consisting of a hypothesis and conclu…
D. theorem
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lines rs, tv, and sw are shown. which statements are true about these l…
- Line SW has an undefined slope. - Line TV has a slope of 0. - Lines RS and TV are parallel.
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which of the following terms is defined as \the set of all points in a …
A. circle
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a clothing company wants to ship more items per box. the length, width,…
D. The volume of the new box is 8 times the volume of the old box.
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calculating geometric probabilities juan’s game board is a square with …
0.215
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which diagram represents the postulate that states exactly one line exi…
The second diagram (the one with a line/ray connecting point A and point B)
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juan’s game board is a square with sides that are 50 cm long. the area …
0.785
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which undefined geometric term can be described as a one-dimensional se…
B. line
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the slope of (overrightarrow{pq}) is ((v - z)) divided by (square). the…
1. The slope of $\overrightarrow{PQ}$ is $(v - z)$ divided by $\boldsymbol{w - x}$. 2. The slope of $\overrightarrow{P'Q'}$ is $\boldsymbol{v - z}$ divided by $(w + a)-(x + a)$. 3…
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the garden in ms. barton’s backyard is shaped like a rectangle that is …
C. the area, in square feet, of Ms. Barton’s garden if she made it 2 feet wider and 1 foot longer
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b. the height of a cylinder is 7.2 m. the radius of the base is 4m. fin…
The exact volume of the cylinder is \( 115.2\pi\space m^{3} \) (or \( \frac{576}{5}\pi\space m^{3} \))
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the function ( v(r) = \frac{4}{3}pi r^3 ) can be used to find the volum…
B. the volume of the basketball when the radius is \( r \)
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find the distance between the two points rounding to the nearest tenth …
\(7.6\)
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a certain triangle has a perimeter of 3064 mi. the shortest side measur…
1296
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a certain triangle has a perimeter of 3064 mi. the shortest side measur…
923
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find the distance between the two points rounding to the nearest tenth …
5.0
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which is the ordered pair for the point on the x-axis that is on the li…
\((6, 0)\)
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a certain triangle has a perimeter of 3064 mi. the shortest side measur…
845
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point m lies between points l and n on (overline{ln}). if (ln = 12x + 1…
64 units
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find the area of the following triangle: image of triangle with dashed …
60
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which of these statements describes the relationship between the two li…
A. They intersect at the point (2, 1)
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find the distance between the two points in simplest radical form. answ…
\(\sqrt{194}\)
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point b is the midpoint of (overline{ac}). which statements about the f…
\( \angle ABC \) is bisected by ray \( BD \), \( BC = \frac{1}{2}AC \), \( 2m\angle DBC = m\angle ABC \)
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identifying a point on perpendicular lines which point could be on the …
B. (2, 2)
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find the distance between the two points in simplest radical form.
\( 15 \)
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find the area of the following triangle: (diagram: triangle with sides …
60
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name the plane that is highlighted in the diagram below. diagram of a r…
Plane SRN (or other valid three - point combination like Plane SPL, Plane SRM, etc. depending on the exact diagram, but likely Plane SRNMLP is incorrect, and the correct three - p…
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if pr = 4x - 2 and rs = 3x - 5, which expression represents ps? p q r s…
\( 7x - 7 \) (corresponding to the option "7x−7")
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find the distance between the two points in simplest radical form.
\(\sqrt{58}\)
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the intersection of plane a and plane s will be line cw. the intersecti…
line m and plane A
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find the distance between the two points in simplest radical form.
\(\sqrt{37}\)
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given that m∠klh = 120° and m∠klm = 180°, which statement about the fig…
\( m\angle HLI = m\angle ILM \) (the fourth option)
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use the given line and the point not on the line to answer the question…
\((0, - 3.6)\)
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the intersection of plane a and plane s will be point x point z line vy…
1. The intersection of plane \( A \) and plane \( S \) is line \( CW \). 2. The intersection of lines \( n \) and \( k \) is point \( Z \).
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what is the measure of ∠jhg? the measure of ∠jhg is degrees.
80
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what is the measure of ∠dcf? the measure of ∠dcf is degrees.
\(129\)
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name the plane that is highlighted in the diagram below.
Plane QUW (or Plane QURW, Plane QRW, etc. depending on the three non - collinear points chosen; a common correct answer could be Plane QUW or Plane QURW)
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the graph below shows a transformation of a linear function where the l…
Translation down 3 or \((x, y - 3)\)
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which coordinate for points a’ and b’ would help prove that lines ab an…
A': \((p, m)\) and B': \((z, -w)\)
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using the segment addition postulate, which is true? number line with p…
D. \( BC + CD = BD \)
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a rectangular box has a volume of 15 cubic feet. the length, width, and…
D. 120 cubic feet
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if ∠pqr measures 75°, what is the measure of ∠ sqr? ○ 22° ○ 45° ○ 53° ○…
\( 53^{\circ} \) (corresponding to the option with \( 53^{\circ} \))
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ray uw is the angle bisector of ∠vut. if m∠vuw = (4x + 6)° and m∠wut = …
\(38^\circ\)
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circle c was dilated to form circle c. part a what point is the center …
B. \( (-2, 2) \) ### Part B
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the dimensions of a rectangle are -9x - 4 and -x - 2. write the simplif…
The simplified expression for the rectangle's perimeter is \(-20x - 12\).
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this is the only question in this section. question in δqrs, m∠q = (2x …
\(14\)
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which points could be on the line that is parallel to (overleftrightarr…
\( (-3,5) \), \( (3,2) \), \( (5,1) \)
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given the measure of an acute angle in a right triangle, we can tell th…
$55^\circ$
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unit 1 summative (area/perimeter/volume/surface area a square has side …
273 \( cm^2 \) (corresponding to the option "273 \( cm^2 \)")
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the coordinates of the endpoints of \\(\\overline{no}\\) are \\(n(-4, -…
\((-1, -5)\)
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find sin(\\beta) in the triangle. choose 1 answer: \\circled{1} \\frac{…
$\frac{12}{13}$ (corresponding to the first option, e.g., if the first option is A. $\frac{12}{13}$, then the answer is A. $\frac{12}{13}$)
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find sin(\\beta) in the triangle. choose 1 answer: \\( \\boldsymbol{\\f…
A. $\dfrac{15}{17}$
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this is the only question in this section. question in δefg, eg is exte…
$24$
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given the measure of an acute angle in a right triangle, we can tell th…
C \( 75^\circ \)
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name the property of equality that the statement illustrates. if ( mang…
Transitive
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quadrilateral math has vertices m = (1,3), a = (-4,6), t = (-2,7), and …
C. \((-12, 18)\)
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in δghi, \\(\\overline{gi}\\) is extended through point i to point j, \…
$49$
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which line is perpendicular to a line that has a slope of $-\frac{1}{3}…
line EF
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in δjkl, m∠j = (4x − 1)°, m∠k = (7x − 18)°, and m∠l = (x − 5)°. what is…
\(17\)
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find the measure of each interior angle of a regular pentagon. if neede…
\( 108^{\circ} \)
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this is the only question in this section. question in δnop, \\(\\overl…
$26$
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use the property to complete the statement. transitive property of equa…
\( m\angle\boldsymbol{1} = m\angle\boldsymbol{3} \)
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14. the perimeter p of a triangle is equal to the sum of the lengths of…
The formula for the perimeter \( P \) of a triangle with side lengths \( a \), \( b \), and \( c \) is \( \boldsymbol{P = a + b + c} \).
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unit 1 summative (area/perimeter/volume) find the volume of a cube with…
\( 512 \, \text{cm}^3 \) (corresponding to the option: \( 512 \, \text{cm}^3 \))
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13. the area a of a square is the length of a side ℓ squared.
The formula for the area of the square is \( A = \ell^2 \)
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name the property of equality that the statement illustrates. m∠1 = m∠2…
Transitive
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what is the slope of line pq? what is the slope of line mn? how are the…
s: - Slope of PQ: \(0\) - Slope of MN: Undefined - Relationship: Perpendicular (or "PQ is horizontal, MN is vertical, and they are perpendicular")
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which statements are true based on the diagram? check all that apply. p…
- Points A, B, and D are on both planes. - Point H is not on plane R. - Points C, D, and A are noncollinear. - The line containing points F and G is on plane R.
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name the property of equality that the statement illustrates. if ( mang…
Symmetric
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which pair of undefined terms is used to define the term parallel lines…
B. plane and line
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1. use the diagram to answer the following questions. a) how many point…
2 ### Part c)
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september 8, 2025 assigned monday: #10, due wednesday hum homework desc…
#### Describe Odessa (3 sentences): Odessa is a bustling port city situated on the Black Sea coast of Ukraine. It boasts a rich, multicultural history shaped by influences from va…
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which undefined term can contain parallel lines? line plane point ray
B. plane
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unit 1 summative (area/perimeter/volume/surfa find the perimeter of a s…
60 cm (corresponding to the option "60 cm")
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find the area of the triangle shown below. 6(\frac{1}{2}) in 5 in (with…
The area of the triangle is \( 27\frac{3}{4} \) square inches (or \( 27.75 \) square inches).
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which is the definition of a line segment? ○ a figure formed by two ray…
D. a part of a line that has two endpoints (assuming the last option is labeled D; if labels are A - D as per order: A. a figure formed by two rays that share a common endpoint, B…
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the coordinates of the endpoints of \\(\\overline{st}\\) are \\(s(3, 5)…
(4, 7)
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unit 1 summative (area/perimeter/volume/surface area the base of a tria…
B. \( 63\ \text{in}^2 \) (assuming the options are labeled with letters, and the second option is \( 63\ \text{in}^2 \))
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which is defined using the undefined terms point and line? angle circle…
D. ray (assuming the options are labeled A: angle, B: circle, C: parallel lines, D: ray)
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1. use the diagram to answer the following questions. a) how many point…
\( QS = 68 \) ### Problem 1 (a - h): #### a)
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which undefined term is used to define an angle? line plane point ray
C. point
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the coordinates of the endpoints of \\(\\overline{bc}\\) are \\(b(-11, …
The coordinates of \( D \) are \( (3, -8) \).
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the three collinear points on line m are j, k, and w. point dropdown is…
To solve this, we analyze the points and lines: ### For "Point ____ is not on line \( m \)": - Line \( m \) contains \( J \), \( K \), \( W \) (collinear). - Points \( P \), \( X …
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the coordinates of the endpoints of \\(\\overline{lm}\\) are \\(l(5, 17…
\((9, 15)\)
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the three collinear points on line m are (dropdown options: y, w, and p…
J, K, and W
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streak now! your dedication is blazing! 1 week streak use one of the tr…
B. 5.6 units
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the movement of the progress bar may be uneven because questions can be…
D. circumference = \( 10\pi \) feet, area = \( 25\pi \) square feet
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week streak now! your dedication is blazing! use one of the triangles t…
C. 0.83
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the movement of the progress bar may be uneven because questions can be…
. circumference = \( 10\pi \) feet, area = \( 25\pi \) square feet # Explanation: ## Step1: Recall formulas for circle Circumference of a circle: \( C = \pi d \) (where \( d \) is…
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unit 1 summative (area/perimeter/volume/surface area compare the perime…
Rectangle, by 7.2 cm (the option: Rectangle, by 7.2 cm)
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for items 1-3, refer to the figure shown. (x + 28)° q p t s r (2x + 16)…
D. \(140^\circ\)
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explain your reasoning. because the gap is equal from part a and part b…
A. Yes