Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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which statement is true about the ordered pair (1, 7)? a. to plot the o…
A. To plot the ordered pair (1 , 7), travel one unit to the right on the x-axis and seven units up on the y-axis, from the origin.
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what are the coordinates for letter h? a. (9, 8) b. (8, 8) c. (8, 9) d.…
A. (9, 8)
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which letter is at position (5, 1)? a. a b. b c. f d. h
D. h
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which of the statements about the x - axis are true? i. the x - axis in…
D. I and IV
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which of the statements about the point (4, 9) are true? i. the x - coo…
A. I and IV
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find the volume of a cone with a base diameter of 8 yd and a height of …
$150.72$ yd³
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chapt. 2 ext ticket 2/capítulo 2, entrada adicional 2 1 multiple choice…
C. The Middle Passage/El Pasaje Medio
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the graph shows some areas of a local park. which ordered pair best rep…
A. (2, 5)
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which of the statements best describe the origin on the coordinate syst…
B. I and III
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college inscribed angles directions: solve for the missing arc or angle…
1. $90^\circ$ 2. $85^\circ$ 3. $50^\circ$ 4. $164^\circ$ 5. $40^\circ$ 6. $45^\circ$ 7. $80^\circ$ 8. $25^\circ$
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what is the straight line distance between points h and j on the grid? …
10 units
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use the map of the zoo to match the coordinates with the animals deanna…
apes $\longleftrightarrow$ (9,10) hippos $\longleftrightarrow$ (3,5) lions $\longleftrightarrow$ (5,8) elephants $\longleftrightarrow$ (10,9) *(Note: The remaining coordinates (8,…
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chapter 5 individual test - a name: show all work & good luck!! score: …
\(x\approx 8.4\) (or more precise \(12\tan(35^\circ)\)) ### Problem 1b
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area = square units submit work it out! not feeling ready yet? these ca…
50 square units
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ctions: use the drawing tool(s) to form the correct answer on the provi…
1. First, identify the origin $(0,0)$: move 3 squares left and 4 squares down from the point $(3,4)$. 2. Use the Ray tool to draw a horizontal ray starting at the origin, extendin…
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college inscribed angles directions: solve for the missing arc or angle…
1. $90^\circ$ 2. $85^\circ$ 3. $50^\circ$ 4. $164^\circ$ 5. $40^\circ$ 6. $45^\circ$ 7. $80^\circ$ 8. $25^\circ$
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what is the area of rectangle ghij?
28
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which letter is at point (1, 9)? options: a. y b. z c. s d. h
B. z
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find the length of the segment (overline{ab}). the length is (square). …
7
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complete the inequality to describe the domain of the graph shown. doma…
To solve this, we analyze the domain and range of a graph (though the graph isn't shown, typical problems like this have a graph with a horizontal extent for domain (x - values) a…
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what is the distance, in units, between the points (-3,1) and (2,-1)? ○…
$\sqrt{29}$ (Option: $\boldsymbol{\sqrt{29}}$)
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what are the coordinates of the midpoint of the line segment with endpo…
A. (3,-1)
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directions: use the drawing tool(s) to form the correct answers on the …
The points are plotted at: - $(9, 2)$: x=9, y=2 on the grid - $(8, 3)$: x=8, y=3 on the grid - $(5, 6)$: x=5, y=6 on the grid - $(3, 7)$: x=3, y=7 on the grid - $(1, 8)$: x=1, y=8…
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which statement is true about the ordered pair (1, 7)? a. to plot the o…
A. To plot the ordered pair (1 , 7), travel one unit to the right on the x-axis and seven units up on the y-axis, from the origin.
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point m is the midpoint of line segment bc. if the coordinates of m are…
(-5, 2) (matches the first option: (-5,-2) is a typo correction, the calculated y-coordinate is 2)
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calculate the distance between the points e = (-8, 7) and f = (-3, 3) i…
$\sqrt{41}$
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1. directions: select the correct answer from each drop - down menu. ma…
First dropdown: x-axis Second dropdown: to the right of
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1. directions: select the correct answer from each drop - down menu. ma…
First dropdown: x-axis Second dropdown: to the right of
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in the diagram shown, what are the measures of \\(\\angle dbc\\), \\(\\…
\( \angle DBC = 140^\circ \), \( \angle DBE = 50^\circ \), \( \angle EBF = 50^\circ \), \( \angle DBF = 100^\circ \)
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the graph shows some areas of an apartment. which of these is located a…
B. sofa
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the graph shows some areas of an apartment. which of these is located a…
B. sofa
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what are the coordinates for letter h? a. (9, 8) b. (8, 8) c. (8, 9) d.…
A. (9, 8)
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here is a graph. write an equation that can represent each line. equati…
Equation 1: $y = 3x + 2$ Equation 2: $y=-\frac{1}{2}x + 4$ Solution (intersection): $(\frac{4}{7},\frac{26}{7})\approx(0.57, 3.71)$ (or approximate from graph as (1, 5) if there w…
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what are the coordinates for letter h? a. (9, 9) b. (8, 9) c. (3, 8) d.…
D. (9, 8)
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which statement is true about the ordered pair (3, 6)? a. to plot the o…
C. To plot the ordered pair (3 , 6), travel three units to the right on the x-axis and six units up on the y-axis, from the origin.
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find the area and the circumference of a circle with radius 9 yd. use t…
Area: $254.34$ yd² Circumference: $56.52$ yd
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in the figure below, s is between q and t, and r is the midpoint of \\(…
8
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3 the coordinates of the vertices of a quadrilateral are p (1, 2), r (1…
B. \((x,y)\to(-x,y)\)
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hangers graphs the hangers and the graph represent the same system of e…
The solution to the system is \( x = 1.5 \), \( y = 4.5 \) (or as an ordered pair \( (1.5, 4.5) \)).
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tura 5: choose the conjugation in parentheses that correctly letes the …
To solve this, we analyze each verb conjugation based on the subject (yo, nosotros, ella, su madre, ellos, tú, etc.) and select the correct form, then note the encircled letter: 1…
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2. a circle is graphed on a coordinate grid with its center at (-4, 7).…
The correct option is the second one: \(\boldsymbol{(x, y) \to (-4 + p, 7 - v)}\) (the option with the circle selected next to \((x, y) \to (-4 + p, 7 - v)\))
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2. a circle is graphed on a coordinate grid with its center at (-4, 7).…
The correct option is the second one: \(\boldsymbol{(x, y) \to (-4 + p, 7 - v)}\) (the option with the circle selected next to \((x, y) \to (-4 + p, 7 - v)\))
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12 directions select the correct answer. this map shows the caribbean. …
Cuba (the circled area labeled "CUBA" on the map)
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1. triangle rat is translated 5 units to the left and 4 units down. whi…
\((x,y)\to(x - 5,y - 4)\) (the first option)
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use the formula ( a = \frac{1}{2}absin c ) to determine the area of ( \…
98 inches²
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2. based off the image identify the congruent sides $\\overline{gh} \\c…
1. $SR$ 2. $ST$ 3. $TQ$ 4. $RQ$ Full congruent side pairs: $GH \cong SR$, $HJ \cong ST$, $JK \cong TQ$, $GK \cong RQ$
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if the area of △abc = 134 square feet, m∠c = 41°, and b = 24 feet, then…
17
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use the image to answer the question (1 point) if h = 10 meters and m∠c…
16 meters
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3. find m∠1. l m 70° n x z m∠1 = the measure of angle 1 is degrees
$m\angle 1 = 20$ The measure of angle 1 is 20 degrees
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use the trigonometry area formula to find the area (to the nearest inch…
41 inches²
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use the image to answer the question. use the trigonometry area formula…
41 inches²
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graph the line $y = 3x$. (there is a coordinate plane with a line drawn…
To graph \( y = 3x \): - Plot the point \((0,0)\) (since the y - intercept \( b = 0\) and when \( x = 0\), \( y=0\)). - Use the slope \( m = 3=\frac{3}{1}\). From \((0,0)\), move …
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what transformation is always the same as rotating a figure 270 degrees…
rotating clockwise 90 degrees
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what transformation is always the same as rotating a figure 180 degrees…
reflecting over the origin
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identify the transformation shown on the coordinate plane. options: ref…
translation
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identify the transformation shown on the coordinate plane. * image of c…
rotation
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point p was rotated by 135° (the center of rotation is indicated). whic…
C. \( C \)
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identify the transformation shown on the coordinate plane. * options: r…
translation
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identify the transformation shown on the coordinate plane. (there are 2…
A. reflection B. rotation
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identify the transformation shown on the coordinate plane. * options: r…
translation
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identify the transformation shown on the coordinate plane. options: tra…
rotation
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identify the transformation shown on the coordinate plane. options: rot…
reflection
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cerradura 4: match the subject verb pairing with the correct conjugatio…
To solve this subject - verb conjugation matching problem in Spanish, we analyze each subject - verb pair: ### 1. For "yo/viajar" In Spanish, the first - person singular (yo) conj…
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identify the transformation shown on the coordinate plane. options: rot…
reflection
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the figure was rotated counterclockwise. which rotation could have take…
a 180° rotation (assuming the option is like "a 180° rotation" among the choices, if the options are labeled, for example, if the third option is "a 180° rotation", then the answe…
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prove that $\\triangle tuv \\cong \\triangle twv$. image of quadrilater…
1. For \( TV \cong TV \): Reflexive Property of Congruence 2. For \( UV \cong WV \): Marked segments are congruent (or Given from diagram markings) 3. For \( \triangle TUV \cong \…
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alycia tried to prove that $\\triangle opq \\cong \\triangle str$. imag…
D. Alycia used a criterion that does not guarantee congruence.
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vanessa tried to prove that $\\triangle klm \\cong \\triangle mnk$. ima…
B. Vanessa only established some of the necessary conditions for a congruence criterion.
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prove that $\\triangle dab \\cong \\triangle bcd$. image of a quadrilat…
1. Statement 2: $\boldsymbol{DB \cong DB}$ (or $\boldsymbol{\overline{DB} \cong \overline{DB}}$) 2. Angle Pair (Step 4): Alternate Interior Angles 3. Congruence Criterion (Step 5)…
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consider the two triangles shown below. two right triangles are shown, …
B. No
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consider the two triangles shown below. are the two triangles congruent…
A. Yes
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solve for x. leave answer in simplest radical form. right triangle with…
\(8\sqrt{3}\) (corresponding to Option 2 with the value \(8\sqrt{3}\))
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solve for x. round to the nearest tenth if necessary. * rectangle with …
\( \boldsymbol{x = 36.7} \) (corresponding to the option "x = 36.7")
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consider the two triangles shown below. note: the triangles are not dra…
B. No
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consider the two triangles shown below. two triangles are shown, not dr…
B. No
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consider the two triangles shown below. two triangles with angles label…
C. There is not enough information to say.
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solve for x. round to the nearest tenth if necessary. right triangle wi…
\(x = 4.2\) (the option with \(x = 4.2\))
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solve for x. round to the nearest tenth if necessary. right triangle wi…
\(x = 4.2\) (the option with \(x = 4.2\))
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consider the two triangles shown below. note: the triangles are not dra…
B. No
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consider the two triangles shown below. (image of two triangles with an…
B. No
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consider the two triangles shown below, (images of two triangles: first…
A. Yes
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below are $\\triangle abc$ and $\\triangle def$. we assume that $ab = d…
A. \( AB = DE \) and segments with the same length are congruent.
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below are △abc and △def. we assume that ab = de, bc = ef, and ac = df. …
A. \( AB = DE \) and segments with the same length are congruent.
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below are △abc and △def. we assume that ab = de, bc = ef, and ac = df. …
A. \( AB = DE \) and segments with the same length are congruent.
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below are $\\triangle abc$ and $\\triangle def$. we assume that $ab = d…
A. \( B' \) and \( E \) are the same distance from \( D \) along the same ray.
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below are $\\triangle abc$ and $\\triangle def$. we assume that $ab = d…
B. We mapped one figure onto the other using rigid transformations. ### Question 2
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lauras new bedroom is in the shape of a square and has an area of $144\…
D. Take the square root of the area.
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pete was able to map quadrilateral abcd onto efgh using a translation a…
A. Pete didn't use only rigid transformations, so the figures are not congruent.
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adam was curious if quadrilaterals (abcd) and (gfeh) were congruent, so…
B. One more transformation — a reflection — would map \(ABCD\) onto \(GFEH\). So the quadrilaterals are congruent.
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the area of a square is $20\\ m^2$. what is the length of a side of the…
B. $\sqrt{20}$ m
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ana tried to prove that an exterior triangle angle measure equals the s…
A. \( m\angle1 + m\angle2 + m\angle3 = 180^\circ \) was not given.
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complete the proof that an exterior triangle angle measure equals the s…
### Step 1: Analyze the first blank (Reason for \( m\angle1 + m\angle2 + m\angle3 = 180^\circ \)) The sum of the interior angles of a triangle is \( 180^\circ \). So the reason he…
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joe tried to prove that the sum of a triangles interior angle measures …
B. Angles \( \angle 4 \) and \( \angle 2 \) are not alternate interior angles, and neither are \( \angle 1 \) and \( \angle 5 \).
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14. which statement correctly describes the graph of ( x geq 2 )? a. cl…
a. Closed circle at 2, shading to the right
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complete the proof that an exterior triangle angle measure equals the s…
### Step 1: Analyze the first blank (Reason for \( m\angle1 + m\angle2 + m\angle3 = 180^\circ \)) The sum of the interior angles of a triangle is \( 180^\circ \). So the reason he…
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11. how do you represent the solution ( x < 7 ) on a number line? a. op…
a. Open circle at 7 with shading to the left
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a library and a music store are located on the same straight road. thei…
B. The distance is 5 kilometers because -3-2=-5 and the absolute value of -5 is 5.
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circles a and b coincide. alex concluded: \circles a and b have no side…
A. The circles are mapped onto each other, so they are congruent.
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consider the two triangles shown below. note: the triangles are not dra…
A. Yes
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in rectangle efgh, it is known that the measure of \\( \\angle e \\) ..…
\( a = 21 \)