Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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part d: what one transformation maps △klm to △klm? circle one and finis…
# Explicación paso a paso: ## Paso 1: Analizar las opciones Tenemos tres tipos de transformaciones geométricas: traslación, reflexión y rotación. Debemos determinar cuál de ellas …
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find the distance between (-2,-4) and (4,-10). provide an answer accura…
$8.49$
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circle c is inscribed in triangle qsu. what is the perimeter of triangl…
40 units
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determine the volume of each prism. 5. cubic units 6.
36
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complete the statement. figure ? is dilated by a scale factor less than…
Figure E is dilated by a scale factor less than 1 to form figure F.
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what is the distance between (-2, -1) and (1, 4)? provide an answer acc…
$5.8$
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line segment st is congruent to which line segment?
If \(ST\) is a tangent - secant line segment from an external point \(T\) to the circle with center \(X\), and assuming equal - length tangent segments from an external point to a…
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what is the distance between (3,5) and (-5,-5)? provide an answer accur…
$12.8$
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determine the volume of 5. cubic units
36
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what is the length of line segment pq? 4 units 5 units 6 units 9 units
B. 6 units
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elliana drew figures e, f, and g in the coordinate plane. the center of…
Figure E is dilated by a scale factor less than 1 to form figure F.
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determine the volume of each prism. 5. cubic units 6. cubic units
5. 36 6. 30
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in the diagram of collinear points, gk = 24, hj = 10, and gh = hi = ij.…
5) $HI = 5$ 6) $JK = 9$ 7) $IG = 10$ 8) $IK = 14$
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figure q a translation units followed by a
A translation 6 unidades a la derecha seguida de una traducción 9 unidades hacia abajo.
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the coordinates of the vertices of a quadrilateral are s (-1,3), t (-1,…
We need to check which graph has vertices $S'(3,1)$, $T'(6,1)$, $V'(6,2)$ and $W'(3,2)$. Without seeing the full set of graphs to choose from, we have found the new - coordinates …
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omari drew figures a, b, c, and d in the coordinate plane. the center o…
2
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find the distance between (-8,10) and (10,11). provide an answer accura…
$18.03$
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what is the distance between (-1,5) and (-3,-5)? provide an answer accu…
$10.2$
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5. use the two volume formulas, v = l × w × h and v = b × h, to write m…
$V = l\times w\times h$ $V = (l\times w)\times h$
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omari drew figures a, b, c, and d in the coordinate plane. the center o…
Figure D is larger than figure A, so the scale factor is greater than 1.
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the coordinates of the vertices of a quadrilateral are a(-1, -4), b(-1,…
The graph where the vertices of the rotated quadrilateral have coordinates A$(1,4)$, B$(1,5)$, C$(3,5)$, D$(3,4)$ is the correct one. (Since no specific graph options are given in…
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△abc is rotated 90° clockwise around the origin to form △abc. what is t…
Point A is 2 units from the x - axis. Point A' is 3 units from the x - axis.
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omari drew figures a, b, c, and d in the coordinate plane. the center o…
figure C
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label the dimensions of each rectangular prism. then use the volume for…
3. $V=(4\times3)\times6$, $V = 72$ cubic units 4. $V=(6\times5)\times4$, $V = 120$ cubic units
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does amares last pattern show a dilation? complete the table. question …
yes
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does amares last pattern show a dilation? complete the table. question …
yes
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sept. 3 unit 1 #9 the student be able to calculate missing angles in a …
1. $\angle AOB = 38^{\circ}$ 2. $\angle COD = 45^{\circ}$ 3. $\angle EOD = 142^{\circ}$ 4. $\angle BOC = 50^{\circ}$ 5. $\angle DOE = 130^{\circ}$ 6. $\angle AOB = 50^{\circ}$
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suppose the diameter of a circle is 4 units. what is its circumference?…
12.56 units
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label the dimensions of each rectangular prism. then use the volume for…
(Without actual counts from the image, can't give specific numbers. But the process is to count base - squares for B, count layers for h, and V = B×h.)
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a student builds a model of a town. the models scale is 1:48. fill in t…
Post office and park in model: 0.2 m Grocery store and city hall in real life: 124.8 m School and library in model: 0.375 m
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rotate point d 180° clockwise around the origin. you can think of a 180…
The coordinates of the rotated point $D'$ are obtained by changing the signs of the coordinates of $D$.
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7 find the measure of angle aoe. 8 find the measure of angle aob. 9 fin…
7. 90 8. 140 9. 50 10. 90
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label the dimensions of each rectangular prism. then use the volume for…
3. $V=(4\times3)\times6$, $V = 72$ cubic units 4. $V=(6\times4)\times5$, $V = 120$ cubic units
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label the dimensions of each rectangular prism. then use the volume for…
(No specific dimensions given in the image, so no numerical answers can be provided. General form: For a prism with length $l$, width $w$, height $h$, $V = l\times w\times h$ and …
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8. find the length of the third side. if necessary, write your answer i…
$2\sqrt{14}$
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rodrigo knows that am ⊥ mn and uk ⊥ mn. what other facts can rodrigo co…
\(AL\parallel UK\)
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7. given: (l_1parallel l_2), (mangle1=(9x + 13)^{circ}), and (mangle6=(…
a. \(x = 12\) b. \(m\angle2 = 59^{\circ}\)
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the figure shown is a rectangular prism. which edges are perpendicular …
$\overline{JT}$, $\overline{PH}$, $\overline{TR}$, $\overline{RA}$
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does amares next pattern show a dilation? complete the table. question …
Are corresponding angles congruent?: Yes Are corresponding sides proportional?: Yes Is the pattern a dilation?: Yes
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∠ber≅∠ceu given: m∠ber = 40° m∠rec = 125° m∠web = ____ find: m∠reu = __…
$m\angle WEB = 15^{\circ}$ $m\angle REU = 85^{\circ}$ $m\angle WER = 55^{\circ}$
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the figure shown is a rectangular prism. which edges are parallel to $o…
$\overline{DK}$, $\overline{PA}$
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does amares first pattern show a dilation? complete the table. question…
No
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in the diagram of circle o, what is the measure of ∠boc? 27°, 54°, 108°…
54°
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a secant and a tangent meet at a 90° angle outside the circle. what mus…
180°
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given directed line segment ac below, find the coordinates of b on ac s…
(11/3, 3)
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does amares first pattern show a dilation? complete the table. question…
no
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problem 1 plot the location of points g, h, and i after a 180° rotation…
| Point | Coordinates | |--|--| | G | (-3,1) | | H | (0,-4) | | I | (2,3) |
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6. use the diagram below to decide if the following statements are true…
| Statement | Justification | |--|--| | a) $\angle4\cong\angle6$ | Alternate interior angles are congruent when they are formed by parallel lines | | b) $\angle1\cong\angle8$ | Al…
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label the dimensions of each rectangular prism. then use the volume for…
6. $V = 9$ in. $\times11$ in. $\times3$ in., $V = 297$ cubic in. 7. Yes, because room volume is 48 cubic meters which is less than 50 cubic meters.
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a park has a large circle painted in the middle of the playground area.…
25π
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which equation is correct regarding the measure of ∠1? o m∠1 = 1/2(b + …
The answer depends on the context of the arc - measures \(a\), \(b\), and \(c\) in the circle - related figure. If \(\angle1\) is an angle formed by two secants or a secant and a …
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vaneice is planting a garden with her sister. each sister is responsibl…
The first diagram (the one with 1 out of 6 small rectangles shaded)
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amore is using a grid to create patterns for his kente cloth design. do…
Are corresponding angles congruent? Yes Are corresponding sides proportional? Yes Is the pattern a dilation? Yes
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solve the inequality. graph the solutions. |x| + 3>5
The graph has open - circles at $x=-2$ and $x = 2$ with rays going in opposite directions (left from $x=-2$ and right from $x = 2$). Without seeing exact options, it should match …
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which equation is correct regarding the measure of ∠mnp? o m∠mnp = 1/2(…
The correct option is \(m\angle MNP=\frac{1}{2}(x - y)\)
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are figures c and d congruent? are they similar? complete each statemen…
congruent
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which statement is true regarding the diagram of circle p? the sum of y…
The sum of y and z must be 2x.
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are figures c and d congruent? are they similar? complete each statemen…
proportional
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review you can calculate the volume of a rectangular prism by multiplyi…
1. $V = 5$ in. $\times4$ in. $\times3$ in., $V = 60$ cubic in. $V = 7$ cm $\times3$ cm $\times4$ cm, $V = 84$ cubic cm
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in circle c, what is mfh? 31° 48° 112° 121°
$112^{\circ}$
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label each angle as acute, obtuse, or right.
1. acute 2. right 3. obtuse 4. acute 5. acute 6. right 7. obtuse 8. acute
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are figures c and d congruent? are they similar? complete each statemen…
The figures are not congruent. The figures are similar.
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5. given the diagram below, find x and z. a. solve for z. b. find m∠ceb…
a. $z = 24$ b. $m\angle CEB=76^{\circ}$ c. $m\angle DEB = 104^{\circ}$ d. $x=\frac{100}{9}$
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circle x is shown in the diagram. which equation can be used to solve f…
The formula for the measure of an angle formed by two chords intersecting inside a circle is \(m\angle1=\frac{1}{2}(a + b)\) where \(a\) and \(b\) are the measures of the intercep…
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graph the compound inequality. -6 < x ≤ -3 select an endpoint to change…
Plot an open circle at \(x=-6\), a closed circle at \(x = - 3\), and draw a line segment between them on the number line.
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find the measures of each labeled angle. give a reason for your solutio…
a: 35, b: 40, c: 140, d: 140
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which equation is correct regarding the diagram of circle o? m∠xoy = 1/…
\(m\angle XZY=\frac{1}{2}(a - b)\)
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sept. 4 unit 1 #10 the student be able to calculate missing angles in a…
16
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are figures c and d congruent? are they similar? complete each statemen…
The figures are not congruent. The figures are similar. Similar figures have corresponding side lengths that are proportional and corresponding angles that are congruent.
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4. using the diagram below, find all angles congruent to the given angl…
\(\angle b\cong\angle c,\angle f,\angle h\); \(\angle a\cong\angle d,\angle e,\angle g\)
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sept. 4 unit 1 #10 the student be able to calculate missing angles in a…
1. $\angle 1$ 2. $\angle J$
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are figures c and d congruent? are they similar? complete each statemen…
Similar figures have corresponding side lengths that are **proportional** and corresponding angles that are **equal**.
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angle stv is a right angle. the measure of angle wtv is 35°. the measur…
$55$
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are figures c and d congruent? are they similar? complete each statemen…
The figures are not congruent. The figures are similar.
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angle fgh is a straight angle. the measure of angle fgj is 145°. the me…
35
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are figures a and b congruent? are they similar? complete each statemen…
The figures are congruent. The figures are similar.
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angle fgh is a right angle. the measure of angle fgj is 40°. the measur…
$x = 50$
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sept. 4 unit 1 #10 the student be able to calculate missing angles in a…
$AB = 42$, $BC = 78$
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what is mpq? o 128° o 173° o 192° o 256°
# Explanation: ## Step1: Recall the inscribed - angle theorem The measure of an inscribed angle is half the measure of its intercepted arc. Let the central angle corresponding to …
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6. use the diagram below to decide if the following statements are true…
| Statement | Justification | |--|--| | $\angle4\cong\angle6$ | Alternate interior angles are congruent when formed by parallel lines | | $\angle1\cong\angle8$ | Alternate exterio…
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3. given m∠xyz=(4x - 15)° and m∠stu=(2x + 3)°, find the value of x and …
## Part A $x = 32$ $\angle XYZ=113^{\circ}$ $\angle STU=67^{\circ}$ ## Part B $x = 9$ $\angle XYZ=21^{\circ}$ $\angle STU=21^{\circ}$ ## Part C $x = 17$ $\angle XYZ=53^{\circ}$ $\…
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1 angle aod = 2 angle aob = 3 angle aoc = 4 angle aoc = 5 angle boc = 6…
1. 86° 2. 115° 3. 140° 4. 103° 5. 59° 6. 83° 7. 76° 8. 135°
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6. use the diagram below to decide if the following statements are true…
a) True. Justification: Alternate interior angles are congruent when lines are parallel. b) True. Justification: Alternate exterior angles are congruent when lines are parallel. c…
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calculate the angles in degrees. do not try to measure, because the pic…
1. 86 degrees 2. 25 degrees 3. 140 degrees 4. 103 degrees 5. 59 degrees 6. 103 degrees 7. 34 degrees 8. 135 degrees
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which figure is a reflection of figure a? complete the statement. the l…
The line of reflection is a vertical line that is between figures A and C.
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if p = (-4,7), find: r_y - axis (p) (?, )
$(4,7)$
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3. translate 2 units right and 4 units down. rotate 180° around the ori…
### Explanation: #### Step 1: Analyze translation for the second - shape For the shape with vertices \(H, I, J, K, L\), the translation rule is \((x,y)\to(x + 2,y-4)\). Let's assu…
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sketching figures sketch the lines, segments, and rays. 48. draw four p…
The figures are drawn as described in each step for problems 48 - 51.
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calculate the angles in degrees. do not try to measure, because the pic…
1. $\angle AOD = 176$ degrees 2. $\angle AOB = 25$ degrees
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5. given the diagram below, find x and z. a. solve for z. b. find m∠ceb…
a. \(z = 24\), \(x=\frac{70}{9}\approx7.78\) b. \(m\angle CEB = 104^{\circ}\) c. \(m\angle DEB = 76^{\circ}\) d. \(x=\frac{70}{9}\approx7.78\) 6. a. True, linear - pair definition…
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what is the measure of angle cab in circle o? 24° 48° 72° 96°
$24^{\circ}$
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which figure is a reflection of figure a? a reflection is a mirror imag…
figure D
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line segment xy is tangent to circle z at point u. if the measure of ar…
$42^{\circ}$
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3 angle aoc = 4 angle aoc = 5 angle boc = 6 angle aod = 7 angle aod = 8…
1. N/A 2. N/A 3. 140 4. 103 5. 150 6. 48 7. 145 8. 135
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angle bac measures 56°. what is the measure of angle bdc? 28° 34° 56° 1…
$56^{\circ}$
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6. use the diagram below to decide if the following statements are true…
a) Justification: d. Alternate interior angles are congruent when they are formed by parallel lines b) Justification: f. Alternate exterior angles are congruent when they are form…
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line segment ts is tangent to circle o at point n. if the measure of ∠q…
$148^{\circ}$
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answer the following questions about this figure. part a if m∠3 = 135°,…
Part A: m∠1 = 45° Part B: Derrick is correct. Since m∠1 = m∠2 = 45°, △DEF has two equal angles and thus two equal sides, making it an isosceles triangle.
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4. what is the measure of ∠1? 87° 93° 97° 90°
$93^{\circ}$
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question 2 of 5 select the correct answer from the drop - down menu bas…
one - half the length of segment AB