Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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graph this line using the slope and y-intercept: $y = \\frac{1}{6}x + 1…
To graph the line \(y=\frac{1}{6}x + 1\): 1. Plot the y - intercept \((0,1)\) (since when \(x = 0\), \(y=1\)). 2. Use the slope \(\frac{1}{6}\): from \((0,1)\), move 6 units right…
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7. from point c, both ends a and b of a bridge are visible. if ac = 21 …
$25.3$ m
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10. starting at point a, a ship sails 22.4 km on a course of 174°, then…
$\approx26.0$ km (rounded to one decimal place)
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which figure appears to be correctly marked with a line of symmetry? fo…
The top-left figure (the T-shaped figure with the vertical dashed line) is correctly marked with a line of symmetry.
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select the two correct figures. which figures appear to have line symme…
1. Yellow cross figure 2. Purple crescent figure
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find the value of x. triangle with angles 63°, 81°, and x°
$36$
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angle acb and ∠acd are , so their measures have a sum of . the measure …
- Angle \( ACB \) and \( \angle ACD \) are a linear pair, so their measures have a sum of \( 180^\circ \). The measure of \( \angle ACB \) is \( 25^\circ \). - The sum of \( \angl…
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graph this inequality: $x > -1$ plot points on the boundary line. selec…
1. Draw a dotted vertical line through $x=-1$ (using points like $(-1, -10)$, $(-1, 0)$, $(-1, 10)$). 2. Shade the entire region to the right of this dotted line.
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given: a = 16, b = 18, m∠a = 60° c = m∠b = m∠c =
\( c\approx10.5 \) (assuming the handwritten note is correct), \( m\angle B = 43^\circ \), \( m\angle C = 77^\circ \) (Note: There might be an error in the problem setup or the ha…
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graph this inequality: $x > -3$ plot points on the boundary line. selec…
1. Draw a dotted vertical line at $x=-3$ (through points like $(-3,0)$, $(-3,2)$, $(-3,-2)$). 2. Shade all area to the right of this dotted line.
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20. determine the area of the shaded region. use 3 for π. there is a sq…
36 square inches
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4. draw the parabola for the set of analysis given below. 5 marks draw …
1. Axis of symmetry: Vertical line $x=3$ drawn through the vertex. 2. X-intercepts: Points $(2, 0)$ and $(4, 0)$ plotted. 3. Y-intercept: Point $(0, 8)$ plotted. 4. Direction of o…
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3. complete the analysis for the following parabola. (5 marks) draw the…
- Axis of symmetry: $x=2$ - Zeroes (x-intercepts): $(-1, 0)$ and $(5, 0)$ - y-intercept: $(0, 5)$ - Direction of opening: Downward - Vertex: $(2, 5)$
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halla el volumen de la esfera. introduce una respuesta exacta en términ…
267.95 unidades³
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in the following figure, all angles formed by adjacent sides are right …
\(18x^2 + 24x\) (the option corresponding to this expression, which is the last option: \(18x^2 + 24x\))
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in row 1 type the equation of the line shown
$x = -6$
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what is the sequence of transformations that maps △ abc to △ abc? selec…
Step 1: Reflect $\triangle ABC$ over the y-axis Step 2: Translate the reflected triangle: - Point $A$: 4 units up - Point $B$: 3 units right and 2 units down - Point $C$: 5 units …
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consider parallelogram jklm below. use the information given in the fig…
$m\angle NJK = 44^\circ$ $m\angle NKJ = 62^\circ$ $x = 3$
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8. identify and circle all terms below that are like terms for 8s. 8s 8…
The like terms for $8s$ are $\boldsymbol{8s}$ and $\boldsymbol{s}$ (already circled in the provided image).
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line l is shown below. right triangles abc and def are drawn to measure…
(a) rise: 4, run: 1, slope: 4 (b) rise: 8, run: 2, slope: 4 (c) Yes. They are equal because the two triangles are similar.
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graph the line with slope -6 and y-intercept 6.
The line can be graphed by plotting two points: (0,6) and (1,0), then drawing a straight line through them.
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in the circle below, a is the center, \\(\\overline{bd}\\) is a diamete…
\( \angle BAC \) (or \( \angle BAD \), \( \angle CAE \), etc. as valid central angles) ### (b)
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7) right triangle with one leg (sqrt{26}) m, another leg 5 m, hypotenus…
7) $\boldsymbol{\sqrt{51}\ \text{m}}$ 8) $\boldsymbol{9\sqrt{2}\ \text{in}}$ 9) $\boldsymbol{\approx 7.25}$ 10) $\boldsymbol{\approx 10.32}$ 11) $\boldsymbol{\approx 9.26}$ 12) $\…
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express tan t as a fraction in simplest terms. triangle with right angl…
$\frac{6}{7}$
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4. find the value of x so that the line through the points (1, 12) and …
\(x = 11\)
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circle the value that makes $25k \\geq 875$ true. 20 32 25 35
35
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4-12 practice problems name: 1. \\(4(x - 3) + (2x + 10)\\) 2. \\((3x + …
$6x-2$ ---
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1 + 2v > 7 to draw a ray, plot an endpoint and select an arrow. select …
The solution to the inequality \( 1 + 2v > 7 \) is \( v > 3 \). On the number line, plot an open circle at 3 and draw an arrow to the right.
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solve for x in the figure below. (figure with triangle fgh and exterior…
For the left - hand figure, \(x = 8\); for the right - hand figure, \(x=-11\)
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19 what is the name of this 3d shape? (image of a 3d shape with edges l…
B. Cube
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find the missing angle. (left triangle: angle at d with exterior angle …
s: Left triangle missing angle (∠E): $35^\circ$ Right triangle missing angle: $55^\circ$
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18 how do you name a 3d shape? a by its face b by its base c by its sur…
B. By its base
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how many faces does the figure have? image of a pyramid-like figure 4
4
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how many faces does this rectangular prism answer: face
6
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step 4: lets check! \\(\\frac{x}{3} > 6\\) step 5: represent on the num…
The solution to the inequality is $x > 18$. On the number line, this is represented by an open circle at 18 and an arrow extending to the right.
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how many faces does the figure have? 4
4
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how many rectangles are used to make the s an octagonal solid? answer: …
8
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look at the shape below. how many of its fac squares? answer:
2
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solve for x in the figure below. (left triangle: right - angled, one an…
For the right triangle: $x = -12$ For the triangle with $130^\circ$ angle: $x = 9.6$ (or $\frac{48}{5}$)
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geometry - unit #8 © 2020 kuta software llc. all rights reserved. name …
1) $x \approx 24.820$ km 2) $x \approx 14.422$ mi 3) $x \approx 12.728$ m 4) $x = 8$ mi 5) $x \approx 12.369$ cm 6) $x \approx 17.493$ mi
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the total area of the figure to the right is 459 cm². use this fact to …
The equation is $20x + 200 = 459$ (or the expanded form $x(20+x) + x(10-x) + 10(20-x) = 459$), and $x = 12.95$ cm
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y = -\\frac{5}{3}x - 1\ click to select points on the graph.\ (graph wi…
# Explicación: ## Paso 1: Encontrar el intercepto y La ecuación es $y = -\frac{5}{3}x - 1$, en la forma $y=mx+b$, el intercepto y es $b=-1$. Así que el punto es $(0, -1)$. ## Paso…
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find the missing angle. ? 60° 80° find the missing angle. d? e 75° k c …
First triangle missing angle: $40^\circ$ Second triangle missing angle: $30^\circ$
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a right triangle with one leg labeled ( x ), the other leg labeled ( 6 …
\(\sqrt{13}\space cm\) (corresponding to the option with \(\sqrt{13}\space cm\))
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if $\\triangle xyz$ is dilated by a factor of 3, what would be the area…
1. Area of $\triangle X'Y'Z'$: 27 2. Scale factor from $\triangle TUV$ to $\triangle QRS$: 2
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in the diagram, chords de and ca intersect at point b in circle f. cons…
Interior Angle Theorem (specifically the Exterior Angle Theorem, which is a sub - case of interior - angle related theorems for triangles)
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5. a television is identified by the diagonal measurement of the screen…
The length of the television screen is approximately 28.5 inches, or exactly $\sqrt{812}$ inches.
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find the measure of angle b. between angle y and angle c. w = y c + b =…
\( y + 90 = 180 \) (or using \( c + b = 90 \), \( y + c + b = 180 \))
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19. the top of a fire escape ladder must reach a window ledge 14 ft abo…
The ladder should rest $\boldsymbol{2\sqrt{51}}$ feet (or approximately 14.28 feet) from the building base.
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use the given information to complete the proof of the following theore…
The reasons are as follows: - For statement 3: Alternate Interior Angles Theorem. - For statement 4: \( \overline{XZ} \cong \overline{XZ} \) - For statement 5: SAS Congruence Post…
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wednesday draw △hij after a 90° rotation about the origin. graph with h…
## Wednesday (Rotated $\triangle HIJ$ vertices): $H'(-3,-3)$, $I'(-2,1)$, $J'(-1,-2)$ (connect these points to draw the triangle) ## Thursday (Scaled triangle vertices): $A'(0,0)$…
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you have information about 3 angle pairs. use this information to find …
\(149^\circ\)
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in row 1 type the equation of the line shown
$x = -2$
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use the given information to complete the proof of the following theore…
2. \( \overline{AB} \parallel \boldsymbol{\overline{CD}} \) 3. \( \overline{AD} \parallel \boldsymbol{\overline{BC}} \) 4. \( \angle 1 \cong \boldsymbol{\angle 3} \) (Alternate In…
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given : \\(\\overline{ac} \\cong \\overline{bd}\\) prove: \\(\\overline…
Se ha demostrado que \( \overline{AB} \cong \overline{CD} \)
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10. to find the width of a river, jordan surveys the area and finds the…
The width of the river is approximately \( 43.3 \) meters.
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monday reflect △uvw over the y - axis. tuesday point f(-17, 8) is rotat…
1. Monday (Reflected $\Delta U'V'W'$ coordinates): $U'(2, 1)$, $V'(1, 4)$, $W'(-1, 2)$ 2. Tuesday (Image of $F$): $F'(17, -8)$ 3. Wednesday: Incomplete, original triangle coordina…
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monday reflect △uvw over the y - axis. v(-1, 4) w(1, 2) u(-2, 1) tuesda…
Reflected triangle vertices: $U'(2,1)$, $V'(1,4)$, $W'(-1,2)$ Coordinates of $F'$: $(17,-8)$
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question 3 (1 point) what would you need to do to prove that this quadr…
a. Use the distance formula to show that all sides are congruent ### Question 4
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lope is this; negative; positive
positive
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a square pyramid and its net are shown below. what is the surface area …
The surface area of the square pyramid is $\boxed{736}$ square centimeters.
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alicia has molds to make ice cubes in the shapes of two pyramids that h…
Alicia is not correct. The volume of the rectangular pyramid (Shape 1) is \( 20 \, \text{cm}^3 \) and the volume of the triangular pyramid (Shape 2) is \( 10 \, \text{cm}^3 \), so…
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question 1 (1 point) suppose you want to create a rectangle using st as…
\( \frac{13}{6} \) (Wait, maybe the actual coordinates are different. Alternatively, maybe \( S \) is at \( (-5, 8) \), \( T \) at \( (8, 2) \), so slope of \( ST \) is \( -6/13 \…
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what is the value of t? h 3 g t f i t = \\boxed{}
\( 3 \)
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write the coordinates of the vertices after a reflection over the y-axi…
$B'(-8, 1)$ $C'(-9, 8)$ $D'(-5, 3)$
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a group of tibetan monks create a sand mandala at an art museum. the ma…
12.56
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graph each equation. 9) $\frac{x^2}{4} + \frac{y^2}{9} = 1$
The graph is an ellipse centered at the origin $(0,0)$ with vertices at $(0, 3)$, $(0, -3)$ and co-vertices at $(2, 0)$, $(-2, 0)$, forming a vertical elongated oval shape passing…
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find the measure of the missing angle. (image of angle diagram with 55°…
$35$
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identify the preimage of the figure, then perform the reflection accord…
Preimage coordinates: A(-1, 2), B(-5, 0), C(-2, 0) Reflected coordinates: A'(1, 2), B'(5, 0), C'(2, 0)
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a rectangle has a height of $4a^2$ and a width of $6a^2 + 9a + 3$. expr…
\( 24a^{4}+36a^{3}+12a^{2} \)
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7. find the slant height of the pyramid.
5 mm
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6. find the slant height of the cone. (with a diagram of a cone showing…
17 m
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graph these equations: $x = 3$ $x = 3$ click to select points on the gr…
no solution
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question find the measure of the missing angles. (figure with angles 49…
$d = 49^\circ$ $e = 29^\circ$ $f = 102^\circ$
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graph these equations: x = 3 x = 3 click to select points on the graph.…
infinitely many
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determine if triangle uvw and triangle xyz are or are not similar, and,…
The triangles are similar because SSS: three corresponding sides are in proportion (scale factor $\frac{1}{4}$)
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3. find the slant height of the cone.
13 m
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2. find the surface area of the cone in terms of π. (there is a cone di…
144π cm²
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1. find the lateral area of the cone in terms of π. (with a cone diagra…
15π cm²
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solve for q and graph the solution. 3 > |q + 1| click two endpoints to …
The solution for \(q\) is \(-4 < q < 2\). For the graph, place open circles at \(-4\) and \(2\) on the number line and connect them with a line segment.
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determine if triangle def and triangle ghi are or are not similar, and,…
The triangles are not similar.
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are or are not similar, and, if they are, state how you know. (note tha…
AA: two angles congruent
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determine if triangle opq and triangle rst are or are not similar, and,…
The triangles are similar. We know this because all corresponding angles of the two triangles are equal, satisfying the AA (Angle-Angle) similarity postulate.
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guided practice look at the figure. you are given the lengths of the al…
64 cm²
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find the value of ( x ). leave your answer in simplest radical form. im…
$2\sqrt{7}$
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what is the image of (0, -7) after a dilation by a scale factor of 4 ce…
$(0, -28)$
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multistep pythagorean theorem (level 1) question find the value of ( x …
$x \approx 1.7$
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surface areas of pyramids and cones guided practice type your answer an…
65 cm²
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guided practice click or tap proof notebook to view theorems used in th…
96 cm²
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find the value of $x$. leave your answer in simplest radical form. (ima…
$\sqrt{17}$
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a side of the triangle below has been extended to form an exterior angl…
$x = 41$
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question a side of the triangle below has been extended to form an exte…
$117$
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10. use the net to find the surface area of the prism. (options: 480 in…
432 in²
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9. find the surface area of the prism. 5 cm 12 cm 13 cm 4 cm 120 cm² 33…
336 cm²
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9. use the net to find the surface area of the cylinder. give your answ…
$102\pi$ square yards
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7. use the net to find the surface area of the cylinder. give your answ…
$64\pi$ square yards
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7. use the net to find the surface area of the cylinder. give your answ…
$64\pi$ square yards
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segment bd bisects angle abc. solve for x. round to the nearest tenth, …
16.0
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5. use the net to find the lateral area of the cylinder. give your answ…
$90\pi$ square inches
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one project that did help was the boulder dam, a huge dam on the colora…
Hoover thought the government should encourage cooperation among private groups (bankers, businessmen, labor leaders), take indirect steps (like using the Boulder Dam project as a…