Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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rectangle j has an area of 2 square units. amira drew a scaled version …
\(3\)
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3. which of the following real - life situations is likely to involve a…
tiling a trapezoidal floor
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2. george is a fast worker. he can mop 50 ft² in 1 minute. the court is…
95 minutes
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rectangle b is shown below. nadia drew a scaled version of rectangle b …
\(2\)
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polygon y is a scaled copy of polygon x using a scale factor of \\frac{…
\(\frac{1}{9}\)
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3. classify the shape based on the following description. opposite side…
C. Rectangle
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7. which of the following statements is false? all squares are rectangl…
All rhombuses are squares.
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6. which of the following statements is false? all squares are rhombuse…
All quadrilaterals are trapezoids
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5. for rhombus abcd, which statement about the angles is false? ∠bao ≅ …
$\angle BAO\cong\angle BOA$
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4. what is the perimeter of kite defg? 72 cm 48 cm 36 cm
48 cm
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2. what is the perimeter of kite pqrst? 87 cm 68 cm 58 cm
58 cm
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1. in square abcd, what is the length of \\( \\overline{bd} \\)?
\(8.5\ \text{cm}\)
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tarush is a landscape architect. for his first public project he is ask…
Draw a right - triangle on the grid where the base is 5 units long and the height is 7.5 units long.
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4. what is the length of diagonal \\( \\overline{r q} \\)?
18.6 in
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3. what is the area of rhombus abcd? round your answer to the nearest h…
\(97.62\ cm^{2}\)
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2. what is the measure of angle ( a_1 )?
40°
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1. what is the length of diagonal \\( \\overline{ps} \\)?
18.6 in
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8. in parallelogram abcd, what is the relationship between angle a° and…
C. \(a^{\circ}+b^{\circ}=180^{\circ}\)
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7. in rectangle uvwx, xy = yv = 18.5 in. what is the area of rectangle …
\(372\ \text{in}^2\)
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5. in parallelogram efgh, what is the relationship between angle e and …
\(e^{\circ}+f^{\circ}=180^{\circ}\)
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4. in parallelogram efgh, what is the relationship between angle e and …
$e^{\circ}+g^{\circ}=180^{\circ}$
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3. in rectangle uvwx, xy = yv = 18.5 in. what is the length of \\( \\ov…
37 in
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2. in rectangle f g h k, f c = c h = 8.5 cm. what is the area of rectan…
\(120\mathrm{cm}^2\)
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1. in parallelogram jklm, what is the relationship between angle k and …
C. \(k^{\circ}+m^{\circ}=180^{\circ}\)
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cole is an urban planner. he wants to create a small scale drawing of a…
Draw a square with each side equal to 3 units on the grid (based on the scale where 1 unit = 30 m).
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4. in the figure below, line j is parallel to line k and line r is para…
\(a^{\circ}+d^{\circ}=180^{\circ}\)
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3. which of the following statements is not a property of parallelogram…
C. All sides are parallel.
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2. which pair of angles are alternate interior angles of parallel lines…
C. \(a^{\circ}\) and \(d^{\circ}\)
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1. parallelogram abcd is a square. the length of side bc = x + 4 and th…
20
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8. which of the following is not a parallelogram? kite rectangle rhombus
kite
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7. if ( ab = 4x + 21 ), ( bc = 6x + 15 ), and ( cd = 8x + 1 ), what is …
\(25\)
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6. classify the quadrilateral below. kite rhombus rectangle
C. rectangle
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5. solve for m∠b.
\(105^{\circ}\)
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4. classify the quadrilateral below. rhombus square trapezoid
rhombus
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3. which of the following statements is a property of quadrilaterals? q…
Quadrilaterals have 4 corners called vertices.
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2. solve for m∠b. 110° 110° 90° 70°
\(70^{\circ}\)
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1. which term most accurately describes the quadrilateral that has oppo…
C. Parallelogram
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5. if $d^{circ}=130^{circ}$, what is the value of $g^{circ}$?
\(60^{\circ}\)
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4. if $d^{circ}=140^{circ}$, what is the value of $g^{circ}$?
\(100^{\circ}\)
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3. what is the sum of ( k^{circ}+i^{circ} )?
\(290^{\circ}\)
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6 part a (a) find the value of x in the following figure: part b find t…
Part A: \(x = 90\) degrees. Part B: \(\angle ACD=145^{\circ}\)
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find the directrix of the parabola defined by the equation $(y - 7)^2 =…
\(x=-1\)
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rotate the shape by 180° counterclockwise.
The rotated triangle has vertices at \((6,7)\), \((-2,7)\) and \((-2,-1)\) (assuming the original vertices were \((-6,-7)\), \((2,-7)\) and \((2,1)\)).
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discussion 6: find area find the area of the trapezoid in the figure. e…
\(39\sqrt{21}\text{ m}^2\)
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18. choose the best answer. a circle is the locus of points in a plane …
18. B. center 19. (Assuming the full option for the second question is parabola) parabola (if the second - question's correct option is among the standard conic - section terms. I…
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directions - use the triangle angle sum theorem to find k. then find th…
\(48\)
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17. choose the best answer. the transverse axis is the line joining the…
hyperbola
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14. choose the best answer. the ___ of a parabola is the line, along wi…
B. directrix
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13. use the hyperbola equation $\\frac{(x - h)^2}{a^2}-\\frac{(y - k)^2…
A. \(-4\)
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2 write the equation for the exterior angle theorem: solve for x: x= th…
Equation: \(2x - 2=x + 45\) \(x = 47\) Exterior angle measurement: \(92^{\circ}\)
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9. using the equation $\\frac{(x - 2)^2}{9}-\\frac{(y - 1)^2}{4}=1$ fin…
\((5,1)\), \((-1,1)\)
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8. choose the best answer. a(n) — of a hyperbola is one of two lines th…
asymptote
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7. choose the best answer. the __ of a hyperbola is one of two points s…
focus
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5. choose the best answer. a hyperbola is the locus of points in a plan…
C. foci
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4. choose the best answer. the eccentricity of an ellipse is a measure …
circular
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3. choose the best answer. an ellipse is the locus of points in a plane…
B. constant
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2. choose the best answer. the ___ is the line through the vertices of …
major axis
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1. choose the best answer. a ___ is the intersection of a plane with on…
conic section
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a traveller moves from a town p on a bearing of 055° to a town q 200km …
The distance between \( P \) and \( R \) is approximately \( 477.3\) km.
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lesson = trigonometry with pythagoras theorem question 10 of 10 back pr…
14
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using the tick marks for each pair of triangles, match the method (sss,…
First triangle pair: ASA, Second triangle pair: AAS, Third triangle pair: HL
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lesson = trigonometry with pythagoras theorem question 8 of 10 in the a…
\(16\)
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if $cos\theta=\frac{6}{9}$, find the value of $sin\theta$ to 2 decimal …
\(\frac{\sqrt{45}}{9}\) or \(0.75\)
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if \\( cos \theta = \frac { 7 } { 11 } \\), find the value of \\( sin \…
\(\frac{\sqrt{72}}{11}\) or \(0.77\)
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using the value of x, find the value of tanθ.
\(\frac{7\sqrt{2}}{8}\)
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janet draws triangle pqr with vertices p(1,1), q(-2,4), and r(1,7). she…
D. The slope of \(\overline{PQ}\) is \(-1\), which is the negative reciprocal of the slope of \(\overline{QR}\), and \(PQ\) and \(QR\) are equal to \(3\sqrt{2}\)
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lesson = trigonometry with pythagoras theorem question 2 of 10 back pri…
13.32
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find the length of \\( \\overline{bc} \\) in the figure. hint: use the …
\(6\)
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lesson = trigonometry with pythagoras theorem question 1 of 10 back pri…
\(12.06\)
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1 which rule explains why these triangles are congruent?
The ASA (Angle - Side - Angle) rule.
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find the length of bc in the figure. hint: use the pythagorean theorem …
\( BC\approx9.8\)
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for the following right triangle, find the side length x. round your an…
\(3.87\)
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for the following right triangle, find the side length x. round your an…
\(14.21\)
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for the following right triangle, find the side length x. round your an…
\(13.23\)
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the figure below has a point marked with a large dot. first, rotate the…
Point in original figure: \((-4,-4)\) Point in final figure: \((-4,4)\)
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solve for x. 9) d • x - 3 e x - 1 • f 20 10) t • x + 20 u 3 • v 2x + 35…
9) \(x = 12\) 10) \(x=-12\) 11) \(x = 4\) 12) \(x = 10\) 13) \(x = 7\) 14) \(x = 1\) 15) \(x = 7\) 16) \(x=-10\)
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geometry segment addition and subtraction postulate find the length ind…
1. \(BC = 5\) 2. \(AB = 11\) 3. \(MK = 12\) 4. \(DC = 6\) 5. \(AC = 10\) 6. \(AC = 8\)
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exercise #3: in the diagram at the right, square abcd is drawn and the …
Since all the sides of quadrilateral \(EFGH\) (\(EH, EF, FG, GH\)) are equal (\(EH = EF=FG = GH=\sqrt{2}x\)) and all its interior angles (\(\angle HEF,\angle EFG,\angle FGH,\angle…
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squares common core geometry our final special quadrilateral is perhaps…
She will need \(4\) rolls of fencing and there will be approximately \(2.75\) feet of fencing left over.
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3. function p gives the perimeter of an equilateral triangle of side le…
The perimeter of the equilateral triangle is 60 units. #### b.
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2. function g is represented by the graph. for what input value or valu…
B. -2 and 2
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angle jkl is a right angle. the measure of angle jkm is 35°. the measur…
55
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angle abc is a straight angle. the measure of angle abd is 100°. the me…
\(x = 80\)
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in each figure below, a plane passes through a geometric solid as shown…
(a) Circle; (b) Trapezoid; (c) Rectangle
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1. part a: describe the transformation that maps def to def. part b: al…
## Part A: The transformation is a dilation (a reduction). ## Part B: \((x,y)\to(\frac{1}{2}x,\frac{1}{2}y)\)
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find the exact value without a calculator. double - angle formulas: $\\…
\(\sin195^{\circ}=-\frac{\sqrt{6}-\sqrt{2}}{4}\), so the first box is \(6\), the second box is \(2\), and the third box is \(4\)
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ava has some chocolate bars like the one shown below. the cross - secti…
a) \(8\) b) \(4\)
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the equation of a circle in the xy - plane is shown above. what is the …
A. 2
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the figures in each pair are similar. find the missing length. 3) 18 7.…
\(12\)
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express the interval using two different representations. -6,9 answer a…
Inequality Notation: \(-6\leq x\leq9\) Number Line: Place closed - circles at \(-6\) and \(9\) and connect them with a line segment.
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35. jessie is mowing her back yard that is in the shape of a right tria…
The lengths of the two sides are \(9\) meters and \(12\) meters.
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35. jessie is mowing her back yard that is in the shape of a right tria…
The lengths of the two sides are \(9\) meters and \(12\) meters.
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negative angle identities 1. if \\( \\tan \\theta = 3.1 \\), then \\( \…
1. \(-2\) 2. \(-0.4\) 3. \(0.3\) 4. \(2\)
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given that the point (80, -84) is on the terminal side of an angle, θ, …
\(\sin(\theta)=-\frac{21}{29}\) \(\cos(\theta)=\frac{20}{29}\) \(\tan(\theta)=-\frac{21}{20}\) \(\csc(\theta)=-\frac{29}{21}\) \(\sec(\theta)=\frac{29}{20}\) \(\cot(\theta)=-\frac…
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find the total surface area of the prism. sa =? cm²
\(1130\)
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a cone has a diameter of 3 inches. the cone holds 12 cubic inches of wa…
C. 5
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a disco ball is shaped like a sphere with a diameter of 16 inches. to t…
C. 804
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an angle measures 2.3 radians. a circle with a radius 2.6 cm long is ce…
a. \(-0.6736\) radius lengths b. \(-1.7514\) cm c. \(0.7396\) radius lengths d. \(1.923\) cm
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for a project in her geometry class, sofia uses a mirror on the ground …
The height of the goalpost is approximately \(2.83\) meters.
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ai mi is 1.45 meters tall. at 11 a.m., she measures the length of a tre…
\(8.27\) meters