Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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which equation shows that ∠a is complementary to a 45° angle? a ∠a - 45…
C. \(\angle A + 45^\circ = 90^\circ\)
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rotate the figure 90° clockwise about the origin. then decide if each s…
1. If two sides are parallel in the original figure, then those sides are parallel in the final figure: True 2. The final angle measures are the same as the original angle measure…
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identify the pair of complementary angles. a ∠cef and ∠feg b ∠ced and ∠…
A. \(\angle CEF\) and \(\angle FEG\)
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olivia leans a 28-foot ladder against a wall so that it forms an angle …
24.25
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identify the pair of complementary angles. a ∠uwx and ∠xwy b ∠uwy and ∠…
A. \( \angle UWX \) and \( \angle XWY \)
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are figure a and figure b congruent? yes no which transformation will m…
Are Figure A and Figure B congruent? Yes Which transformation maps Figure A to B? Rotate Figure A 180° about the origin Are Figure C and Figure D congruent? Yes Which transformati…
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identify the pair of complementary angles. a ∠rqs and ∠sqp b ∠rqs and ∠…
B. \( \angle RQS \) and \( \angle SQT \)
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identify the pair of complementary angles. a ∠gjh and ∠kjh b ∠kjl and ∠…
B. \( \angle KJL \) and \( \angle LJH \)
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state true or false: complementary angles add up to 90°. a true b false
A. True
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write the coordinates of the vertices after a reflection over the y-axi…
\( K'(9,1) \), \( L'(9,4) \), \( M'(1,5) \)
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the sum of the given angles is ______. image of two angles: 60° and 30°…
A. \( 90^\circ \)
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question 10 of 15 (3 points) | question attempt 1 of 3 complete the par…
rise: 4, run: 1, slope: 4 (Note: Depending on actual graph coordinates, adjust. If the graph has different points, recalculate. But based on typical slope triangle, this is a comm…
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write the coordinates of the vertices after a reflection over the line …
\(D'(-5,3)\) \(E'(3,3)\) \(F'(5,-2)\) \(G'(-3,-2)\)
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find the missing angle. triangle with right angle at u, angle at v is 5…
\(39^\circ\) (corresponding to the option with \(39^\circ\))
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write the coordinates of the vertices after a reflection over the y-axi…
\(B'(-8,-6)\), \(C'(-10,-1)\), \(D'(-8,4)\), \(E'(-7,-1)\)
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a dilation centered at the origin is applied to figure a. the result is…
3
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46th 50 0 bonus 10/10 find the measure of each angle indicated. 75°? 39…
66° (corresponding to the option with 66°)
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write the coordinates of the vertices after a reflection over the y-axi…
\(R'(10,-4)\), \(S'(10,2)\), \(T'(0,3)\), \(U'(0,-3)\)
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if these two shapes are similar, what is the measure of the missing len…
6 mi
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write the shaded hexagon parts as a mixed number :
$1\frac{1}{2}$
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write the shaded region parts as a mixed number : □ □/□
1
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write the coordinates of the vertices after a reflection over the y-axi…
\(P'(-8,-2)\), \(Q'(-8,5)\), \(R'(-4,-2)\)
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if these two figures are similar, what is the measure of the missing an…
17
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determine whether each number is rational or irrational. | | rational |…
- $\frac{1}{11}$: Rational (select the circle under Rational) - $\sqrt{11}$: Irrational (select the circle under Irrational) - $\sqrt{100}$: Rational (select the circle under Rati…
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assignment – 2-dimensional geometry, day 4 area of circles day 1 grade …
1. 18 meters 2. 78.5 square meters 3. 803.84 square inches 4. $21.16\pi$ square millimeters 5. 1386 square centimeters 6. $y = 24x + 15.99$
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p304 ex. 4 4. if \\(\\overline{ab} \\parallel \\overline{cd}\\), and \\…
\(DE\times AE = BE\times CE\) is proved. ### Ex.5
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$\\overline{bc}$ is a translation of $\\overline{bc}$. write the transl…
\((x,y)\to(x + 10,y+7)\)
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quadrilateral uvwx is a translation of quadrilateral uvwx. write the tr…
\((x,y)\to(x + 8,y + 8)\)
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δabc is a translation of δabc. write the translation rule. (x, y) ↦ (x …
\((x,y)\to(x + 9,y+7)\)
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selected response circle the choice that best completes the statement o…
C. \(0.9 + 0.8 = 1.7\) ### Question 2
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which rotation is shown in the coordinate plane? 90° counterclockwise 9…
C. 180° counterclockwise, D. 180° clockwise
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question a 40 foot ladder is set against the side of a house so that it…
15.2 ft
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question the area of a rectangle is 105 square units. its width measure…
16.6 units
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13. you are given the following points on a coordinate plane: x(-3, 3.3…
PART A: 8.5 PART B: (-0.5, -5.2), (9.5, -5.2)
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△ghi will be rotated 180° around the origin to form △ghi. 180° rotation…
B. (5, -7)
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in the coordinate plane shown, triangle abc is congruent to triangle ab…
# Explicación breve: ## Parte A Para determinar la transformación que muestra que el triángulo \(A'B'C'\) es congruente con el triángulo \(ABC\), observamos que los triángulos son…
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pythagorean theorem (rounding) score: 4/5 penalty: 1 off question find …
8.2
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which coordinate is the same as the x-coordinate of point p?opposite of…
For the x-coordinate of \( P' \): Opposite of x-coordinate of point P For the y-coordinate of \( P' \): D. Opposite of y-coordinate of point P
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4) △pqr is rotated 180° around the origin to form △pqr. which coordinat…
Opposite of x-coordinate of point P
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△pqr is rotated 180° around the origin to form △pqr. what are the coord…
P (4, 1), P' (-4, -1)
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selected response circle the choice that best completes the statement o…
C. \( 0.9 + 0.8 = 1.7 \) ### Question 2
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3. a. observe the familiar figures below. label some points on each fig…
# Explanation: ## Step 1: Analizar la figura de la casa - **Rayo**: Podemos tomar un vértice de la parte superior de la casa (por ejemplo, el punto A en la cumbre del techo) y ext…
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question given the two rectangles below. find the area of the shaded re…
\(60\)
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△vwz is rotated 90 counterclockwise around the origin to form △vwz 90 c…
$(-8, -6)$
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part a select from the drop - down menu to correctly complete the sente…
Part A: equal to Part B: En el triángulo \(ABE\), los lados vertical y horizontal son \(8\) y \(12\) respectivamente (\(y_2 - y_1=3-(-5) = 8\), \(x_2 - x_1=3-(-9)=12\)). En el tri…
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which coordinate is the same as the y-coordinate of point g? x-coordina…
A. x-coordinate of point G
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line t and △ eca and △ fdb are shown on the coordinate plane which stat…
B. The slope of \(\overline{AC}\) is equal to the slope of \(\overline{BD}\). C. The slope of \(\overline{AC}\) is equal to the slope of line \(t\). D. The slope of line \(t\) is …
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example 4 identify the hypothesis and conclusion for each conditional s…
### Problem 12: # Explanation: ## Step1: Identify Hypothesis and Conclusion Hypothesis (condition): You get a one - year membership. Conclusion (result): You get a free water bott…
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answer attempt 1 out of 2 the length of the base is □ and the length of…
The length of the base is \(11.8\) and the length of the height is \(3.88\). Therefore the area of the triangle is \(\frac{1}{2}\times11.8\times3.88 = 22.892\).
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△fgh is rotated 90° counterclockwise around the origin to form △fgh. wh…
D. Opposite of y-coordinate of point G
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on the coordinate plane shown, points a, b, c, and d lie on the same li…
The slope of \(\overline{AB}\) is equal to the slope of \(\overline{CD}\) because the ratio of the vertical change to the horizontal change between points \(A\) and \(B\) is equal…
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for the following right triangle, find the side length x. round your an…
9.22
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for the following right triangle, find the side length x. round your an…
12.00
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which statement is true? x the letter has rotation symmetry only. the l…
The letter has both reflection and rotation symmetry.
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for the following right triangle, find the side length x. round your an…
\(10.20\)
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solve for x. round to the nearest tenth, if necessary. (image of right …
44.6
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which statement is true? z ○ the letter has reflection symmetry only. ○…
The letter has rotation symmetry only.
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9. use structure mr. wells drew a plan for a rectangular dog run. the v…
$\frac{61}{3}$ (or $20\frac{1}{3}$)
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in the triangle below, suppose that ( mangle b = (x + 9)^circ ), ( mang…
\(m\angle B = 31^{\circ}\), \(m\angle C = 61^{\circ}\), \(m\angle D = 88^{\circ}\)
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the area of the triangle below is 5.89 square meters. what is the lengt…
The length of the base is approximately \(3.46\) meters.
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which statement is true? k the letter has neither reflection nor rotati…
The letter has neither reflection nor rotation symmetry.
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in the triangle below, with right angle ∠d, suppose that m∠c = (4x − 3)…
\(m\angle C = 33^{\circ}\), \(m\angle D=90^{\circ}\), \(m\angle E = 57^{\circ}\)
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what is the area, in square feet, of the shape below? express your answ…
\(\frac{2}{25}\) square feet
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the two triangles below are similar. also, m∠g=45° and m∠e=110°, as sho…
$m∠J = 110^\circ$, $m∠K = 45^\circ$, $m∠I = 25^\circ$
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in the triangle below, suppose that ( mangle l = (6x - 3)^circ ), ( man…
\(m\angle N = 17^{\circ}\), \(m\angle M = 64^{\circ}\), \(m\angle L = 99^{\circ}\)
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in the triangle below, with right angle ∠j, suppose that m∠i = (2x + 45…
\(m\angle I = 61^{\circ}\), \(m\angle J = 90^{\circ}\), \(m\angle K = 29^{\circ}\)
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question what is the area, in square centimeters, of the trapezoid belo…
113.2 square centimeters
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solve for x. round to the nearest tenth, if necessary. right triangle w…
6.5
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in the triangle below, with right angle ∠m, suppose that m∠l = (3x + 20…
\(m\angle L = 41^{\circ}\), \(m\angle M = 90^{\circ}\), \(m\angle N = 49^{\circ}\)
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question what is the area, in square meters, of the trapezoid below? 8.…
\(157.78\) square meters
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two triangles below are similar. find ( mangle w ), ( mangle x ), and (…
$m\angle W = 90^\circ$, $m\angle X = 35^\circ$, $m\angle Y = 55^\circ$
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what is the value of x in the circle on the right? the value of x is \\…
5.6 cm
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question what is the area, in square meters, of the shaded part of the …
\(175.5\) square meters
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solve the inequality and graph the solution. \\(\\frac{j}{-2} - 1 \\geq…
The solution to the inequality is \(j\leq - 4\). For the graph, plot a closed circle at \(-4\) and draw an arrow to the left.
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classify this triangle by its sides. triangle image scalene isosceles b…
isosceles but not equilateral
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what kind of triangle is this? 57° 90° 33° acute right obtuse submit
right
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a square has the side length of ( x - 8 ). an equilateral triangle has …
D. \(4(x - 8)\)
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of each conditional statement. 7. \if there is no struggle, there is no…
For each conditional statement: 7. Hypothesis: There is no struggle; Conclusion: There is no progress 8. Hypothesis: Two angles are adjacent; Conclusion: They have a common side 9…
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12. on a math test, the students are asked to find the perimeter of rec…
No, 18 units is not correct. The correct perimeter is 42 units. Alberto likely found only one side length or miscalculated the distance between vertices.
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find the distance between the points a and b given below. (that is, fin…
4.47 units
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solve the inequality and graph the solution. -8 + 7d > 6 to draw a ray,…
The solution to the inequality is \( d > 2 \). For the graph, plot an open circle at 2 and draw an arrow pointing to the right (toward values greater than 2).
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solve the inequality and graph the solution.\\(-1 > \\frac{z}{2} + 1\\)…
The solution to the inequality is \(z < - 4\). To graph this, we plot an open circle at \(-4\) (since \(z\) is not equal to \(-4\)) and draw an arrow to the left (indicating all v…
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the graph shows triangles abc and efg. is abc congruent to efg? justify…
Yes, because a reflection across the line y = 3 maps ABC onto EFG.
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solve the inequality and graph the solution. -10 + 10n < 10 to draw a r…
The solution to the inequality is \( n < 2 \). The graph has an open circle at 2 and an arrow pointing to the left.
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in the cube shown below, which lines are intersecting? select all that …
B. HI and JK, D. JK and JN
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solve the inequality and graph the solution. -10 + 10n < 10 to draw a r…
The solution to the inequality is \( n < 2 \). To graph this, we plot an open circle at \( n = 2 \) (since the inequality is strict, \( n \) cannot equal 2) and draw an arrow poin…
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remember words with the same long vowel sound are not always spelled th…
1. prime 2. height 3. spy 4. file 5. pies 6. twice 7. climb 8. glide 9. slice 10. kite 11. fright 12. die 13. slight 14. night 15. sigh 16. drive 17. minding 18. pride 19. pry 20.…
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in the cube shown below, which lines are skew? select all that apply. o…
GJ and MN
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in the rectangular prism shown below, which lines are parallel? image o…
MN and OP
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identify the hypothesis and conclusion of each conditional statement. 7…
- Hypothesis: There is no struggle - Conclusion: There is no progress ### Problem 8:
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solve the inequality and graph the solution. 1 > \\(\\frac{y}{-2}\\) + …
The solution to the inequality is \( y > 4 \). To graph this, plot an open circle at 4 (since the inequality is strict, \( y eq 4 \)) and draw an arrow to the right (indicating …
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draw the reflection of the following triangle over the line p.
The reflection is a triangle with vertices \((1,9)\), \((3,5)\), \((5,7)\) (drawn on the grid above the original triangle, mirrored over \(y=3\)).
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6. which of the following sets of triangles can be proved congruent usi…
c (assuming the option c is the set of triangles with markings that satisfy AAS, based on the visual analysis of angle and side markings)
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in the triangular prism shown below, which lines are parallel? select a…
A. $\overline{PR}$ and $\overline{SU}$, B. $\overline{PS}$ and $\overline{RU}$
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3. polygon qrst has vertices q($4\\frac{1}{2}$, 2), r($8\\frac{1}{2}$, …
Yes, polygon QRST is a rectangle because its opposite sides are equal and all angles are right angles.
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from the observation deck of a skyscraper, jack measures a 48° angle of…
1063.39
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what is the volume of this sphere? round your answer to the nearest hun…
\(9202.84\)
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what is the volume of this sphere? round your answer to the nearest hun…
\(11488.21\)
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find the area of the square. a = ? cm² 7 cm a = l × w 7 cm
49
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what is the volume of this sphere? round your answer to the nearest hun…
\(904.78\)