Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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alex is building a ramp for a bike competition. he has two rectangular …
3.3 meters
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triangle (abc) has the following vertices: • (a(-4,6)) • (b(6,6)) • (c(…
C. No, because $\overline{BC}$ is longer than $\overline{AB}$.
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based on the measurements in the diagram, what is k? a. 8 ft. b. 11 ft.…
C. 12 ft.
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ser practice circle the form of ser that completes the sentence 1. yo (…
1. Yo soy de Puerto Rico. 2. Él es mi profesor de español. 3. Nosotras somos amigas. 4. ¿Eres usted de Costa Rica? 5. Ellos son cubanos. 6. Tú eres mi amiga. 7. ¿Son ustedes profe…
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triangle abc has the following vertices: • a(1,9) • b(11, - 7) • c(-9,3…
D. No, because $\triangle ABC$ doesn't have a pair of perpendicular sides.
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given the diagram shown here, if (mangle8 = 17p + 11) and (mangle4 = 12…
Since \( \angle8 \) and \( \angle4 \) are corresponding angles (assuming the lines are parallel as is common in such set - ups), they are equal. So we set up the equation \(17p + …
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quadrilateral abcd has the following vertices: • a(0,6) • b(3,5) • c(0,…
Yes, because opposite sides are parallel and adjacent sides are perpendicular.
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given the diagram shown here, if m∠1 = 106°, what is m∠2? ○m∠2 = 74° ○m…
$m\angle2 = 106^{\circ}$
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in exercises 3 and 4, find the geometric mean of the two numbers. 3. 2 …
1. Geometric mean of 2 and 6: \(2\sqrt{3}\) 2. Geometric mean of 5 and 45: 15 3. Value of \(x\) in Exercise 5: 12 4. Value of \(y\) in Exercise 6: \(\sqrt{14}\) 5. Value of \(t\) …
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the diagram below shows the dimensions of a rectangular field. what is …
200 ft
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which expression gives the length of the transverse axis of the hyperbo…
None of the above options are correct as the length of the transverse axis of a hyperbola is \(2a\) and not expressible as \(a + b\), \(a - b\), \(2(a - b)\) or \(2(a + b)\) based…
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14.8.2 test (cst): conic sections which expression gives the length of …
None of the given options (A. \(a + b\), B. \(a - b\), C. \(2(a - b)\), D. \(2(a + b)\)) are correct as the length of the transverse axis of a hyperbola is \(2a\) and not represen…
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a rectangular piece of paper measures 10 centimeters wide by 17 centime…
20 centimeters
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part 5 - multiple choice practice instructions: circle the correct answ…
1. c) Domingo 2. a) Roja 3. a) tres 4. c) Él 5. b) Nosotras 6. a) Él 7. b) miércoles 8. b) azul
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a new pipeline is being constructed to re - route its oil flow around t…
A. 24
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14.8.2 test (cst): conic sections the vertex of the parabola below is a…
B. $y = 4(x - 3)^2+2$
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9. use the diagram below to answer the following questions. a) name a t…
# Explanation: ## Step1: Recall transversal definition A transversal is a line that intersects two or more other lines. In the first diagram, line $l$ intersects lines $j$ and $k$…
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which statement about the length of the hypotenuse of a right triangle …
The hypotenuse is between 11 and 12 inches.
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the equation below describes a circle. what are the coordinates of the …
A. $(6,-5)$
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9. use the diagram below to answer the following questions. a) name a t…
# Explanation: ## Step1: Recall transversal definition A transversal is a line that intersects two or more other lines. In the first diagram, line $l$ intersects lines $j$ and $k$…
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question 8 of 10 how many degrees is the angle below? do not include un…
140
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find m∠1 and m∠2. tell which theorem can be
$m\angle1 = 150^{\circ}$, $m\angle2 = 30^{\circ}$; Vertical Angles Theorem for ∠1, Linear - Pair Postulate for ∠2
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what is the name of the line that you use to define a parabola? a. para…
D. Directrix
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question 7 of 10 what is the measure of the angle below? a. 32 degrees …
B. 58 degrees
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jamie and fred are meeting sarita at her house. jamie must use the cros…
154 ft
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for which polygon is the sum of the exterior angles equal to 360°? sele…
A. quadrilateral, B. triangle, C. pentagon, D. hexagon
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triangle xyz is a right triangle with legs measuring 8 cm and 15 cm. wh…
17 cm
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complete the steps to find the value of 2x = x =
$2x = 128$; $x = 64$
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quadrilateral mnpq is inscribed in circle o. segment mn is part of ray …
B. $\angle Q$
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a line is a set of all points that: a. have the same difference of dist…
D. are the same distance from two points.
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find the value of c. use the pythagorean theorem to help you. start by …
$c = \sqrt{85}$
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group activity: different slopes of different lines | slides 15 - 20 c.…
1
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how many degrees is the angle below? do not include units in your answe…
60
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question 4 of 10 how many degrees is the angle below? do not include un…
160
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in the figure below, m∠jkm = 92°, kt bisects ∠jkm, and kn bisects ∠lkm.…
$23$
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the club members hiked 3 kilometers north and 4 kilometers east, then w…
5 km
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which of the following equations will produce the graph shown below? a.…
A. $4x^{2}+4y^{2}=64$
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118° (8x + 6)° (8x + 6)° = m∠□ (8x + 6)° = □° 8x = □ x = □
\(x = 14\)
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16 determine the value of x in the figure shown. a 29° b 14° c 24° d 53°
C. $24^{\circ}$
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question 3 of 10 what is the measure of the angle below? a. 58 degrees …
C. 122 degrees
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triangle abc is similar to triangle xyz, where a, b, and c correspond t…
D. 18
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use the thesaurus entry for labyrinth to answer the question. which sen…
- Emma was determined to find the way through that maze of pathways, tunnels, and bridges. - It would take days to get to the other side of this jungle of vines, hedges, shrubs, a…
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72° (7x + 24)° □+(7x + 24)=180 7x+□ = 180 7x=□ x = □
$x = 12$
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question 9 of 10 how many degrees is the angle below? do not include un…
45
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question 5 of 10 what is the measure of the angle below? a. 32 degrees …
B. 58 degrees
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find the coordinates of the other endpoint of the segment, given its mi…
$(-23,-19)$
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question 3 of 10 how many degrees is the angle below? do not include un…
150
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what is the perimeter of the composite figure? round to the nearest ten…
$91.2$
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what is the measure of the angle below? a. 46 degrees b. 136 degrees c.…
A. 46 degrees
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answer attempt 1 out of 2 the quadrilateral is most specifically a , be…
cyclic quadrilateral
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for a certain rectangle, the ratio of the width to the length is 1 to 2…
66
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find the coordinates of the other endpoint of the segment, given its mi…
$(32,-21)$
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which figure shows that m is a midpoint? select all that apply.
A.
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question 1 of 10 how many degrees is the angle below? do not include un…
40
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the coordinates of point t are (0,6). the midpoint of st is (6, - 5). f…
$(12,-16)$
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question 9 of 9 what type of angle is shown below? 28° a. right b. acut…
B. Acute
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x = step 1: (8x + 9)°+ 99°= step 2: 8x+ step 3: 8x=
$9$
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square tuvw on the coordinate plane has points t (0, 0), u (5, 5), and …
D. (-5, 5)
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question 8 of 9 what type of angle is shown below? 101° a. right b. obt…
B. Obtuse
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question 7 of 9 which angle pictured below is an obtuse angle? a 96° b …
A. Angle A
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graph the line whose y - intercept is 4 and whose x - intercept is 9.
1. Locate the y - intercept: Plot the point (0, 4) on the y - axis. 2. Locate the x - intercept: Plot the point (9, 0) on the x - axis. 3. Draw the line: Use a straight - edge to …
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question 5 of 9 which angle pictured below is an acute angle? a. angle …
B. Angle B
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which angle pictured below is an obtuse angle? a 135° b 90° c 60° a. an…
A. Angle A
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complete the steps to find the value of x. 65° 5 (11x - 17)° 65 + (squa…
$x = 12$
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solve the equation. give a general formula for all the solutions. list …
General formula: $\theta=k\pi\pm\frac{\pi}{12},k\in\mathbb{Z}$ Six solutions: $\frac{\pi}{12},\frac{11\pi}{12},\frac{13\pi}{12},\frac{23\pi}{12},\frac{25\pi}{12},\frac{35\pi}{12}$
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question 3 of 9 what type of angle is shown below? 41° a. right b. obtu…
C. Acute
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question 2 of 9 which angle pictured below is a right angle? a c b a. a…
A. Angle A
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question 1 of 9 which angle pictured below is an obtuse angle? a 97° a …
A. Angle A
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question 10 of 10 what is a name for the angle below? a. ∠igh b. ∠ghi c…
B. \(\angle GHI\)
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find the area of the rectangle shown 7\\frac{1}{2} ft 4\\frac{1}{2} ft …
$33\frac{3}{4}$
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question 9 of 10 identify both names for the angle below. a. ∠xwv b. ∠w…
A. \(\angle XWV\), E. \(\angle VWX\)
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question 8 of 10 what is a name for the angle below? a. ∠ljk b. ∠klj c.…
C. \(\angle{JKL}\)
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graph the solution to the inequality on the number line. |v| < 4
On the number - line, draw an open circle at - 4 and an open circle at 4, then shade the region between them.
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point d is located at (-1, -6) on the coordinate plane. point d is refl…
$(1,6)$
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point a is located at (-3,5) on the coordinate plane. point a is reflec…
$(3,-5)$
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same - side interior angle theorem given (lparallel m). prove (angle2) …
(a) B. Corresponding Angle Theorem (b) B. Substitution Property
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15. what is the range of this piecewise function?
The range is a set of discrete values. If the y - values of the closed - circle endpoints from bottom to top are $y_1,y_2,y_3,y_4$, the range is $\{y_1,y_2,y_3,y_4\}$ (you need to…
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point h is located at (1, -2) on the coordinate plane. point h is refle…
$H'(1,2)$
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point q is located at (1, 4) on the coordinate plane. point q is reflec…
$(1,-4)$
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point j is located at (-4, -2) on the coordinate plane. point j is refl…
$J'(-4,2)$
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question 12 (multiple choice worth 1 points) (02.06r mc) the diagonals …
19
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the point (2,-3) is reflected across the x - axis. the image is then re…
$(2,5)$
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point a has coordinates (-3,4). if a is reflected across the y - axis, …
A. $(3,4)$ B. $(-3,-4)$ C. $(4,-3)$
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the vertices of △ghi are g (2,4), h (4,8), and i (8,4). the vertices of…
They are similar by the definition of similarity in terms of a dilation.
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a reflection across the x - axis maps the point (4,-5) to the point (a,…
A. 4 B. 5 C. -4 D. -5
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which statement is not used to prove that δabc is similar to δade? ac i…
The sum of angles $A$ and $B$ are supplementary to angle $C$.
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if j = h and k = m, then which expression represents the value of g? g …
\(g = \frac{f}{2}\)
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drag the tiles to correctly complete the sentences below. point a has c…
A. $(3,4)$ B. $(-3,-4)$ C. $(4,-3)$
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the abc toy company is creating two similar pieces for a board game, as…
Verify $\angle A\cong\angle D$ and $\angle B\cong\angle E$ by translation.
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statements reasons draw line zy parallel to $overline{pq}$ construction…
The three angles of $\triangle PQR$ equal $180^{\circ}$ according to Substitution.
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look at the figure below: what is the length, in units, of segment cd? …
7.2
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what is the relationship between figure a and figure b? figure a figure…
Figure A was translated right 4 units and up 2 units.
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question what is the image of (-7, -2) after a reflection over the y - …
$(7,-2)$
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question what is the image of (5, -7) after a reflection over the x - a…
$(5,7)$
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utilizando la gráfica, determine las coordenadas de la intersección con…
$(0,-3)$
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question what is the image of (-6,5) after a reflection over the y - ax…
$(6,5)$
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if a translation maps ∠e onto ∠a, which of the following statements is …
∠B≅∠D
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tia used a photocopier to dilate the design for a monorail track system…
34
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question what is the image of (8, -5) after a reflection over the y - a…
$(-8,-5)$
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which is the slope of a line that is perpendicular to the line that pas…
C. $-\frac{3}{2}$