Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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find the area of the shaded shape.
16
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what values of y and z make (\triangle fghcong\triangle cab)?
\(y = 8\), \(z = 3\)
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in parallelogram efgh, m∠1 = 3x - 5, m∠2 = x + 10, and m∠3 = 2x + 15. w…
\(30^{\circ}\)
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11 mark for review note: figure not drawn to scale. in the figure above…
C. \(65\)
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the formula for the lateral area of a right cone is la = π rs. where r …
\(s=\frac{LA}{\pi r}\) (first option) and \(r = \frac{LA}{\pi s}\) (fourth option)
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write the sentences correctly. 1. the fear of public speaking is called…
1. The fear of public speaking is called glossophobia. Many people have it. 2. People's fear of public speaking is greater than fear of spiders, darkness, and heights. 3. Underlin…
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what is the area of a rectangle with a length of 4 centimeters (cm) and…
B. \(8\space cm^{2}\)
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the cross - sectional areas of a triangular prism and a right cylinder …
The volume of the prism is not equal to the volume of the cylinder.
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find the missing side length. assume that all intersecting sides meet a…
\(4\) ft
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what values of s and t make (\triangle efgcong\triangle jik)?
\(s = 19\), \(t = 19\)
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2 select all the true statements. a dilations always increase the lengt…
B. Dilations take perpendicular lines to perpendicular lines, C. Dilations of an angle are congruent to the original angle, F. Dilations of a triangle are similar to the original …
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if the $\\cos 23^{\\circ}=\\frac{2}{3}$, then the $\\sin 67^{\\circ}=$ …
\(\frac{2}{3}\), because the angles are complementary
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which statement explains how you could use coordinate geometry to prove…
Prove that opposite sides are congruent and have equal slopes.
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in circle m, diameters jl and hk each measure 16 centimeters. what is t…
\(6.9\) cm
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two birds sit at the top of two different trees. the distance between t…
\(35.9^{\circ}\)
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cle o has a circumference of approximately 250π ft. what is the approxi…
\(80\) ft
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find the perimeter of the following shape, rounded to the nearest tenth:
\(11.3\)
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question 1 - 13 jamie wants to hang lights around the edge of her pool.…
398 m
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what values of a and b make (\triangle ghicong\triangle wvx)?
\(a = 4\), \(b = 3\)
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what values of b and c make (\triangle efgcong\triangle xzy)?
\(b = 3\), \(c=2\)
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in circle o, the length of radius ol is 6 cm and the length of arc lm i…
\(14.2\ cm\)
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question 1 - 12 angle a and angle b are supplementary angles. if the me…
\(68^{\circ}\) (corresponding to the first option)
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box a has a volume of 216 cubic meters. box b is similar to box a. to c…
\(27\space m^{3}\)
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what values of a and b make (\triangle rstcong\triangle wuv)?
\(a = 7\), \(b = 3\)
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elliott is standing at the top of a store escalator that leads to the g…
12 feet
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quadrilateral efgh is on a coordinate plane. segment fg is on the line …
They have the same slope of 2 and are, therefore, parallel.
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find the perimeter of the shaded shape.
\( 14 \)
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what values of a and b make (\triangle ijkcong\triangle fhg)?
\(a = 14\), \(b = 6\)
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directions: type your answer in the box. what is the measure of an angl…
\(47\)
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look at the figure: if \\( \\tan x^{\\circ}=\\frac{j}{11} \\) and \\( \…
\(\cos x^{\circ}=\frac{11}{k}\)
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find the area of the figure. (sides meet at right angles.)
\(22\)
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what values of a and b make △ghi ≅ △prq? a = b =
\(a = 9\), \(b = 5\)
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if a is the center of the circle, then which statement explains how ed …
\(\overline{ED}\cong\overline{FD}\) because \(AD\) (a line from the center \(A\)) is perpendicular to chord \(EF\) and bisects it.
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marys backyard has a patio and a garden. find the area of the garden. (…
\(24\)
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what values of t and u make △abc ≅ △ijk? t= u= save answer
\(t = 2\) \(u = 10\)
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professional pay, continued 5. a charitable organization in a large cit…
The length of the Outfield Fence is approximately \(188.4\) feet.
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given the similar polygons in the image, which statement is true? ∠e ≅ …
$\angle D\cong\angle K$
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what values of y and z make (\triangle ghicong\triangle fed)?
\(y = 44\), \(z = 47\)
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answer the questions about the figures below. (a) which figures are rec…
(a) Figure A, Figure C (b) Figure C (c) Figure A, Figure B, Figure C
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given the similar polygons in the image, which statement is true? (over…
B. \( \angle D\cong\angle N \)
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given the similar polygons in the image, which statement is true? ∠p ≅ …
$\angle C\cong\angle G$
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in circle l, overarc{nop} is 90° and the radius is 5 units. which state…
\(\frac{1}{4}\) the circumference of circle \(L\)
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question 1 - 10 angle abc and angle def are complementary. which pair o…
\(45^{\circ}\) and \(45^{\circ}\)
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given the similar polygons in the image, which statement is true? ∠e ≅ …
\(\angle D\cong\angle K\)
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find the coordinates of the vertices of each figure after the given tra…
13. \(N'(-3,3)\), \(V'(0,4)\), \(Q'(-3,0)\) 14. \(D'(-1,-2)\), \(N'(-2,0)\), \(K'(1,1)\), \(R'(3,-3)\) 15. \(X'(-3,-3)\), \(K'(1,-1)\), \(T'(1,-5)\) 16. \(Z'(2,-3)\), \(K'(3,0)\),…
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minor arc kl measures 135°. which is the radian measure of central angl…
\(\frac{3\pi}{4}\text{ radians}\)
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consider circle c with angle acb measuring 3π/4 radians. if minor arc a…
\(12\) inches
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question 1 - 9 directions: select all correct answers three lines inter…
For \(\angle BGD\): Complementary For \(\angle DGE\): Supplementary For \(\angle FGA\): Complementary
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right triangle abc is located at a(-1,-2), b(-1,1), and c(3,1) on a coo…
\((x + 1)^2+(y+2)^2=25\)
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directions: select all correct answers three lines intersect as shown. …
| | Complementary | Supplementary | Vertical | |---|---|---|---| |\(\angle BGD\)| | | | |\(\angle DGE\)| | \(\square\) | | |\(\angle FGA\)| \(\square\) | | |
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structure \\( \\overline { x y } \\) has endpoints \\( x ( - 5,6 ) \\) …
rotation of \(270^{\circ}\) about the origin.
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circle p has a circumference of approximately 75 inches. what is the ap…
12 inches
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major arc cbd measures 300°. which is the radian measure of its corresp…
\(\frac{5\pi}{3}\) radians
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which statement is true? angle 2 and angle 4 are vertical angle 3 and a…
Angle 1 and Angle 2 are supplementary.
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57. if the length of a rectangle is increased by 25% and the width is d…
B. \(12.5\%\)
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two similar circles are shown. the circumference of the larger circle, …
\((\frac{2}{3})\pi x\) units
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the perimeter of a rectangle is 48 centimeters. the relationship betwee…
- When width \(w = 10\) cm, length \(l = 14\) cm. - When width \(w = 3.6\) cm, length \(l = 20.4\) cm. - When width \(w\) cm, length \(l=(24 - w)\) cm.
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for each graph, decide if the two lines are parallel, perpendicular, or…
Graph 1: Neither; Graph 2: Perpendicular; Graph 3: Neither; Graph 4: Parallel
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find the error savannah and elma visit a craft fair and notice a quilt …
Sarah is correct. The triangles shown in the pattern appear to be made using translations, and the outlined hexagonal pattern is also translated.
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consider circle t with radius 24 in. and ( \theta=\frac{21}{8} ) radian…
\(63\pi\) in.
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look at the angles. identify each angle that is adjacent to angle 2. an…
Angle 4
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in the diagram, abgh ≅ cdef. 1. identify all pairs of congruent corresp…
\(x = 17.5\)
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circle q has a circumference of approximately 50 centimeters. what is t…
15.9 centimeters
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find the coordinates of the figure with the given coordinates after the…
\(Q(2,-4)\), \(R(3,0)\), \(S(4,-4)\)
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i can... use the triangle sum theorem and the exterior angle theorem to…
\(119^{\circ}\)
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consider a regular hexagon inscribed in circle hexagons have six congru…
\(60\)
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10 match each inequality to the number line that represents its solutio…
a. The number line with open - circles at \(2\) and \(4\) (the first number line). b. The number line with open - circles at \(2\) and \(4\) (the third number line). c. The number…
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triangle def has coordinates ( d(4,-1) ), ( e(5,2) ), and ( f(1,2) ). d…
B. \(D'(1,0)\), \(E'(2,3)\), and \(F'(-2,3)\)
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5) 6) 34 m n k 178 110 $y = 178\\frac{1}{2}(x - 34)$ $356 = x - 34$ +34
$x = 246^{\circ}$
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given ( l parallel m parallel n ), find the value of ( x ).
\(15\)
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find the measure of the arc or central angle indicated. assume that lin…
9) \(220^{\circ}\) 10) \(234^{\circ}\)
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given ( m parallel n ), find the value of ( x ) and ( y ).
$x = 23$, $y = 107$
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triangle def has coordinates ( d(4,-1) ), ( e(5,2) ), and ( f(1,2) ). d…
C. \(D'(-4,-1)\), \(E'(-5,2)\), and \(F'(-1,2)\)
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look at this diagram: if \\( \\overleftrightarrow { r t } \\) and \\( \…
\(69\)
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triangle abc has coordinates a(2,0), b(-1,5), and c(4,3). determine the…
D. \(A'(5,-4)\), \(B'(2,1)\), and \(C'(7,-1)\)
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1 try left. try once more identify the type of rigid motion shown as a …
reflection
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read this excerpt from \the world on turtles back\ the birds of the sea…
B. felt compassion for the woman because she was scared.
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question note: figure not drawn to scale. in the right triangle above, …
\(6\sqrt{3}\) (approximately \(10.39\))
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a scalene triangle is shown below what is the area of the obtuse triang…
30 square centimeters
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which set of terms best represents the graphed solution for the inequal…
Option #1: open circles on the end values; two separate solution sets
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the figure below is an isosceles triangle. what is the sum of the angle…
\(180\)
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question janna wants to tile a square floor that measures 8 feet on one…
C. 256 tiles
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the diagram below shows the construction of a line through point p perp…
2) The set of points equidistant from the endpoints of a line segment is the perpendicular bisector of the segment.
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the figure shows a pair of parallel lines cut by a transversal. which t…
$\angle4$, $\angle6$, $\angle8$
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1. the angle of elevation to the top of a building in houston is found …
The height of the building is approximately \(158.4\ m\)
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distance formula $d = \\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ example: f…
1. \((3,3)\) 2. \((2,3)\) 3. \((0,-2)\) 4. \((-1.5,-2)\) 7. \(3\sqrt{5}\approx6.71\) 8. \(7\) 9. \(2\sqrt{5}\approx4.47\) 10. \(\sqrt{34}\approx5.83\)
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period: geometry exit ticket 2.05: swbat determine missing angles in di…
$124^{\circ}$
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1. triangle 2. square 3. rectangle a. a = s² b. a = lw or a = bh c. a =…
1. C. \(A=\frac{bh}{2}\) 2. A. \(A = s^{2}\) 3. B. \(A=lw\) or \(A = bh\)
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place semicolons, hyphens, and colons where they are needed in the foll…
1. To make myself feel better, I made a mental list of my talents: I could touch my nose with the tip of my tongue; I could drink a glass of water while standing on my head; and, …
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on the unit circle, a right triangle with an angle measure of θ has a l…
\(\frac{\sqrt{3}}{2}\)
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review - test on parallels with angles identify the type of angle pair …
1. Corresponding angles 2. Adjacent angles 3. Alternate exterior angles 4. No specific standard pair 5. Alternate interior angles 6. Adjacent angles 7. Adjacent angles 8. No speci…
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ce and fh are parallel lines. which angles are adjacent angles? ∠cdb an…
$\angle HGI$ and $\angle HGD$
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unit 6 trigonometry the sine function image long description determine …
\(\frac{1}{2}\)
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6. 4.5 in 10 in perimeter = 4.5 in 6 in
\(29.5\) in
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english spanish these lines are _. intersecting parallel perpendicular …
parallel
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\\overleftrightarrow { g i } and \\overleftrightarrow { j l } are paral…
\(\angle LKH\) and \(\angle JKH\)
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which statements are true about polygons? select three options. all sid…
- Second option: The sides of a polygon are segments that intersect exactly two other segments, one at each endpoint. - Fourth option: If all of the sides of a convex polygon are …
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which is a correct description of the polygon? it is a concave pentagon…
It is a concave pentagon because segment \(AE\) would extend into the inside of the polygon, and it has five sides.
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find the perimeter or area of the figure. (application) 5. area =
\(280\) \(in^{2}\)
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what is the value of x? 6 8 10 12
8