Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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15) choose the correct answer. which triangle involves medians? a d c b
A.
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triangle abc has coordinates a (-1, 1), b (1, 1), and c (0, -1). triang…
D. \((-3,3)\)
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14) choose the correct answer. which triangle involves angle bisectors?
B.
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inquizitive chapter 08. political parties and interest groups page(s) 2…
Correct Answer(s): a supportive interest group, a congressional committee, an administrative agency. Incorrect Answer(s): a favorable judge, the president.
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the translation above shows an object moving a. 5 units to the right an…
C. 7 units to the left and 5 units up
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13) choose the correct answer. which triangle involves perpendicular bi…
C.
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11) choose the correct answer. the orthocenter will lie in the interior…
11) C. acute 12) A. obtuse
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use the situation below to answer questions 1 & 2. the perimeter of a r…
1. \(2(w + 15)=54\) 2. The rectangle has a width of 12 inches.
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which of the following describes the transformations performed on the o…
D. The object was reflected across the x - axis and shifted 7 units in the x direction and - 3 units in the y direction.
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9) choose the correct answer. if there is no indication of congruent or…
9) None of the options are completely correct as the question is not well - formulated. But if we assume it's a wrong - option - based question (since "orthocenter" is a point), w…
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7) choose the correct answer. you are dealing with a(n)____if a perpend…
7) circumcenter 8) centroid
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directions: at the top right comer of your paper, please include the fo…
1. \(y=mx + b\) 2. \(m=\frac{y_2 - y_1}{x_2 - x_1}\) 3. The value of \(y\) when \(x = 0\) 4. Increasing, because the slope \(m = 2>0\) 5. One - dimension: open circle; Two - dimen…
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5) choose the correct answer. circumcenters and centroids involve circu…
midpoints # 6)
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3) choose the correct answer. the ___ of a triangle is the point of int…
3. orthocenter 4. altitude
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juan is building an irregularly shaped garden that has a perimeter of $…
$4\frac{23}{24}\text{ ft}$
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1) choose the correct answer. a segment that extends from the vertex of…
1. median 2. centroid
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extra credit (3 points) 7. a pipe with a wall thickness of 0.20 inch ha…
The inside circumference of the pipe is approximately \(9.73\) inches.
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what is the value of d? none of these 125 145 135
135
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prove: ( p x = p z = p y ) statements 1. ( overline { p r } ) bisects (…
5. e. Def. of in - center 6. d. \(PZ = PY\) 7. b. Trans. Prop. of \(=\)
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shaped property bounded by three streets. the park will be 100 feet on …
Plan 2
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which of the following equations could be used to find the missing angl…
None of these
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given: ( p ) is the incenter of ( \triangle mno ). ( overline{pm} ), ( …
The length of \( \overline{PX}\) is \(23\mathrm{mm}\). The measure of \( \angle PMX\) is \(30^{\circ}\). The measure of \( \angle POX\) is \(20^{\circ}\). The length of \( \overli…
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given: ( p ) is the circumcenter of ( \triangle j k l ). ( overline{p z…
\(\overline{KP}=19\mathrm{cm}\), \(\overline{XJ}=14\mathrm{cm}\), \(\overline{JL}=34\mathrm{cm}\), \(\angle JPY = 55^{\circ}\)
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12) choose the correct answer. the center of a circle inscribed in a tr…
incenter
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10) choose the correct answer. in any triangle, the ___ will always be …
10) circumcenter 11) triangle
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drag the tiles to the boxes to form correct pairs. not all tiles will b…
- \(2x^{2}+2y^{2}-24x - 16y - 8 = 0\) matches \((x - 6)^{2}+(y - 4)^{2}=56\). - \(3x^{2}+3y^{2}+12x + 18y - 15 = 0\) matches \((x + 2)^{2}+(y + 3)^{2}=18\). - \(x^{2}+y^{2}-4x + 1…
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8) choose the correct answer. the circumcenter of a right triangle will…
8) A. hypotenuse 9) B. exterior
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juan is building an irregularly shaped garden that has a perimeter of 1…
\(4\frac{23}{24}\text{ ft}\)
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6) choose the correct answer. the circumcenter theorem states that the …
6. vertex 7. circumscribed
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4) choose the correct answer. the incenter theorem states that the ince…
4. C. side 5. C. inscribed
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2) choose the correct answer. the point of intersection of the angle bi…
2. D. incenter 3. C. circumcenter
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given: ( ell ) is a perpendicular bisector of ( overline{ac} ) m is a p…
5. \(d\) (Def. circumcenter) 6. \(BP = CP\) (\(a\) \(\perp\) Bis. Thrm) 7. \(c\) (Trans. Prop. of \(=\))
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what is the value of e? none of these 121 129 141
141
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which of the following equations could be used to find the missing angl…
A. \(h + 136 = 180\)
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which point lies on the circle represented by the equation $(x + 5)^{2}…
C. \((-5,1)\)
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which of the following equations could be used to find the missing angl…
\(44 + 51+x=180\) (the third option)
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the equation $(x - 1)^2+(y + 1)^2=r^2$ represents circle j. the point $…
C. \(\sqrt{17}\)
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which of the following equations could be used to find the missing angl…
\(73 + 75+x = 180\) (the third option)
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what is the value of y?
\(49\)
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what is the value of x? 80 90 95 85
\(85\)
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type the correct answer in each box. a circle is centered at the point …
\((x+\boldsymbol{-5})^2+(y+\boldsymbol{4})^2=\boldsymbol{100}\)
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question trapezoid lmno is formed when right triangle plm is cut by lin…
\(2154.0\)
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7. consider the inequality -\\frac{1}{10}x + 1\\frac{2}{5} \\geq 1\\fra…
Part A: - A closed circle (because the inequality is \(\leq\), which includes the endpoint) - At the number \(-3\) - Shading to the left (since \(x\leq - 3\)) Part B: - \(-8\) (be…
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an image of a rhombus is shown. what is the area of the rhombus? 15.75 …
\(248\space cm^{2}\)
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the image of a trapezoid is shown. what is the area of the trapezoid? 2…
\(43.4\space m^{2}\) (the second option)
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which shape is both a parallelogram and a rhombus?
The first (purple) shape.
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which shape is a rectangle but is not a square?
The light - pink (lower - right) shape.
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a maintenance worker needs to wax a restaurant floor shaped like the im…
\(\$2,106\)
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i - ready classify and compare quadrilaterals - quiz - level c which sh…
The red shape.
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what do all rectangles have in common? all sides the same length 4 acut…
4 right angles
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what do all rhombuses have in common? 4 acute angles 4 right angles no …
all sides the same length
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question two rectangles are joined to form the figure below. find the v…
\(1271.7\)
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the measure of an angle is 72°. what is the measure of its complementar…
\(18^{\circ}\)
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write the coordinates of the vertices after a rotation 90° counterclock…
The new coordinates are \(D'(-1,-4)\), \(E'(-1,0)\), \(F'(-10,0)\), \(G'(-10,-4)\)
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1 circle the type of allusion that is demonstrated below. this traffic …
c) mythological
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circle the word that is spelled correctly. comemorate commemorate comem…
commemorate
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describe the possible numbers of intersections for each of the followin…
- **a**: Two different lines can intersect \(0\) (parallel) or \(1\) (non - parallel) times. - **b**: A line and a parabola can intersect \(0\), \(1\), or \(2\) times. - **c**: Tw…
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question given: abcd is a rhombus and ∠bae ≅ ∠bcf. prove: ed ≅ fd. step…
\(\overline{ED}\cong\overline{FD}\)
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the graph shows trapezoids bcde and bcde. which sequence of transformat…
a rotation \(180^{\circ}\) around the origin followed by a reflection across the \(x -\)axis.
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the graph shows trapezoids bcde and bcde. which sequence of transformat…
a reflection across the \(y\) - axis followed by a translation right 3 units and up 2 units
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find the value of x, y, and z in the rhombus below.
\(x=-79\), \(y = - 18\), \(z=-16.5\)
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the measure of an angle is 64°. what is the measure of its complementar…
\(26\)
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what is the area of the triangle below? 3 meters 4 meters a 12 m b 12 s…
C. 6 square m
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what is the area of a circular region whose diameter is 6 centimeters? …
D. \(9\pi\) square cm
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triangle def is a dilation of triangle abc with scale factor 2. in tria…
B. \(82^{\circ}\)
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triangle def is rotated 270° counterclockwise about the origin. the res…
(a) \(D(3,-7)\to D'(7,3)\), \(E(4,1)\to E'(-1,4)\), \(F(7,-2)\to F'(2,7)\) (b) The general rule is \((x,y)\to(-y,x)\)
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what is the value of k? 29° k
\(29\)
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what is the value of d? 30°
\(d = 60^{\circ}\)
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given \\( \\vec { g } = \\langle 3, - 5 \ angle \\) and \\( \\vec { h }…
B. \(\langle0,-2 angle\)
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a vase is in the shape of a rectangular prism. it has a base area of 40…
D. \(5600\space in^{3}\)
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what is the measure of \\( \\angle 7 \\)?
\(43^{\circ}\) (Option C)
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step statement reason 1 abcd is a rhombus given ∠bae ≅ ∠bcf 2 ∠dab ≅ ∠d…
Subtraction property of congruent angles.
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determine the ordered pair numbers for each letter.
| Point | Ordered Pair | | ---- | ---- | | A | (3,6) | | B | (2,3) | | C | (4,2) | | D | (6,8) | | E | (7,4) |
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determine the ordered pair numbers for each letter
A. \((2,5)\) B. \((1,2)\) C. \((3,1)\) D. \((6,7)\) E. \((7,3)\)
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given rhombus ijkl below, m∠klm = 57°. if m∠ilm = (4x + 5)°, solve for …
\(x = 5.875\)
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given rhombus defg below. if m∠ehf = (-x - 3)°, solve for x.
\(x = - 93\)
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given rectangle uvwx below, uy = 40. if vx = -2x + 6, solve for x.
\( x=-37 \)
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given rectangle klmn below, lo = 24. if ko = 3x + 6, solve for x.
\( x = 6 \)
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given rhombus qrst below, su = 11. if uq = 2x - 3, solve for x.
\(x = 7\)
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given parallelogram mnop below, pq = 76. if qn = x + 8, solve for x.
\(x = 68\)
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the length of a rectangle is 5 in longer than its width. if the perimet…
length: \( 19 \) in, width: \( 14 \) in
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given rectangle nopq below. if or = 61, find rq.
\(61\)
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given rectangle lmno below. if $mo = 90$, find $ln$.
\(90\)
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given rhombus rstu below. find m∠tvu. answer attempt 1 out of 2 m∠tvu =
\(90\)
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a polygon has vertices a(6,7), b(8,4), c(5,2), and d(2,3). it was trans…
The new vertices are \(A'(2,5)\), \(B'(4,2)\), \(C'(1,0)\), and \(D'(-2,1)\)
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25. would the following lines be parallel, perpendicular, or neither? d…
The lines \(A\) and \(B\) are perpendicular.
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given parallelogram defg below. if eh = 88, find hg.
\(88\)
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find the value of x, y, and z in the parallelogram below.
\(x = 27.5\), \(y = 39\), \(z = 19\)
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use the information in the diagram to solve for x.
\(x = 6\)
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find the surface area of this rectangular prism. be sure to include the…
\(286\) square feet
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name: in the diagram below, lines k and m are parallel. ∠7 and ∠8 are a…
C. Supplementary angles
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find the surface area of this cube. be sure to include the correct unit…
\(294\) \(cm^{2}\)
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find the surface area of this rectangular prism. be sure to include the…
\(158\) square inches
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graph the compound inequality on the number line. $x\\leq5$ or $x\\geq8$
On the number line, there is a closed - circle at \(5\) with shading to the left and a closed - circle at \(8\) with shading to the right.
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find the value of x, y, and z, in the rhombus below. answer attempt 1 o…
\(x=-4\), \(y = 2\), \(z=-2\)
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graph the compound inequality on the number line. $x < 1$ and $x > - 3$
On the number line, place an open circle at \(x=-3\) and shade to the right of \(-3\), place an open circle at \(x = 1\) and shade to the left of \(1\). The solution is the set of…
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angle - side - angle triangle congruence theorem: in two triangles, if …
Two; angles; sides; congruent; congruent
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side-angle-side triangle congruence theorem: in two triangles, if two p…
congruent
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find the area of this parallelogram. be sure to include the correct uni…
\(77\) square inches
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find the area of this parallelogram. be sure to include the correct uni…
\(143\space m^{2}\)