Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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for items 7 - 9, use the figure shown. what is the value of x? 28 44 13…
\(44\)
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triangle klm was dilated according to the rule ( d_{o,0.75}(x,y) ). wha…
\(\text{D}_{O,0.75}(x,y)=(0.75x,0.75y)\), \(\overline{LM}\) is parallel to \(\overline{L'M'}\), The vertices of the image are closer to the origin than those of the pre - image.
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the base of a right pyramid is a regular hexagon with sides of length 8…
\(96(\sqrt{3}+\sqrt{2})\text{ m}^2\)
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given ( mparallel n ), find the value of ( x ).
\(x = 58\)
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two cubes have sides of length 8 cm and 4 cm. what is the ratio of thei…
\(4:1\)
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given ( mparallel n ), find the value of ( x ).
\(x = 35\)
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assume the radius of a certain planet is 3180 km and the planet is a sp…
The planet's surface area is \(40449600\pi\space km^{2}\)
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given m//n, find the value of x.
\(x = 82\)
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find the surface area of each figure. complete parts (a) through (e) be…
\(384\pi\)
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use the image to answer the question. given the rectangle abcd as shown…
\(106\)
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find the surface area of each figure. complete parts (a) through (e) be…
\(49\pi\space cm^{2}\)
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directions: answer each question below. 1. graph: ( x > - 4 ) 2. graph:…
6. \(\frac{1}{4}\), \(\frac{20}{4}\), \(-7\) 7. \(-4.8\), \(\sqrt{16}\), \(\frac{20}{4}\) 8. \(-4.25\), \(-5.5\) 9. \(2\), \(-\sqrt{4}\), \(\frac{10}{5}\), \(1.95\) 10. \(\frac{13…
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find the surface area of each figure. complete parts (a) through (c) be…
\(232\space cm^{2}\)
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find the length of the third side. if necessary, write in simplest radi…
\(\sqrt{34}\)
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test for symmetry and graph the polar equation. $r^{2}=64cos(2\theta)$ …
a. C. Yes. b. B. Yes. c. A. Yes.
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find the surface area of each figure. complete parts (a) through (e) be…
\(384\pi\space cm^{2}\)
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find the surface area of each figure. complete parts (a) through (e) be…
\(384\space cm^{2}\)
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test for symmetry and graph the polar equation. $r^{2}=64cos(2\theta)$ …
a. C. Yes. b. A. The polar equation failed the test for symmetry which means that the graph is not symmetric with respect to the line $\theta=\frac{\pi}{2}$.
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find the length of the third side. if necessary, write in simplest radi…
\(7\)
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which of these nets could be folded along the dotted segments to form a…
A. Option a, B. Option b
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find the missing side length in these similar solids. 3 cm 18 cm 2 cm cm
\(12\)
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find the length of the third side. if necessary, write in simplest radi…
\(1\)
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find the missing side length in these similar solids.
\(5\)
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find the length of the third side. if necessary, write in simplest radi…
\(2\sqrt{21}\)
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find the missing side length in these similar solids. 12 cm 3 cm ? cm 2…
\(8\)
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find the length of the third side. if necessary, write in simplest radi…
\(6\)
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find the missing side length in these similar solids. 15 m 6 m 4 m? m
\(10\)
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complete the following plan to prove that ∠3 ≅ ∠6. drag and drop an ans…
First blank: \(6\); Second blank: \(5\); Third blank: a linear pair
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select all of the angles that are congruent to \\( \\angle 5 \\). \\( \…
$\angle2$, $\angle3$, $\angle7$
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graph the inequality below on the number line. $x>-4$
Locate \(-4\) on the number line, draw an open circle at \(-4\), and then draw an arrow to the right from that open - circle.
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5. malcom used a compass to draw a circle with a radius of 3 inches. a.…
a. \(6\) inches b. \(19\) inches
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find the missing side length in these similar solids.
\(6\)
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test for symmetry and then graph the polar equation. r = 2 + 3\\sin\\th…
a. C. The polar equation failed the test for symmetry which means that the graph may or may not be symmetric with respect to the polar axis. b. B. Yes.
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point s is on line segment rt. given st = 3x - 8, rt = 4x, and rs = 4x …
\(20\)
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select all the angles that are supplementary to \\( \\angle 1 \\). \\( …
\(\angle3\), \(\angle6\), \(\angle8\)
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find the volume of this sphere. use 3.14 for π. 9 cm volume of a sphere…
\(381.51\) \(cm^{3}\)
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find the volume of this sphere. use 3.14 for π. 4.5 m volume of a spher…
\(381.5\) \(m^{3}\)
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find the volume of this sphere. use 3.14 for π. 2.5 cm volume of a sphe…
\(65.4\)
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find the volume of this sphere. use 3.14 for π. 7 m volume of a sphere …
\(1436.17\) \(m^{3}\)
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4. if $\triangle hbn sim \triangle lyr$, find the value of $x$. 4 points
\(x = 13\)
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find the volume of this sphere. use 3.14 for π. 4 cm volume of a sphere…
The volume of the sphere is approximately \(267.95\) \(cm^{3}\)
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dilating a figure with the center of dilation at a point △rst is dilate…
The distance between the \(x\) - coordinates of \(R\) and \(T\) is \(3\). The distance between the \(y\) - coordinates of \(R\) and \(T\) is \(6\). \(R'\) is \(\sqrt{5}\) (or \(1/…
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18. the perimeter of a square room is 80 feet. how many floor tiles squ…
400
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determining the similarity transformation which composition of similari…
a dilation with a scale factor greater than 1 and then a rotation
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solve for x. round to the nearest tenth, if necessary.
\(x\approx1.9\)
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10. given the circle below with chords \\( \\overline { k l } \\) and \…
\(NO = 3.8\)
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solve the inequality and graph the solution. 7(d + 1) - 4 ≤ 10 plot the…
The solution of the inequality \(7(d + 1)-4\leq10\) is \(d\leq1\). On the number - line, we plot a closed circle at \(d = 1\) (because the inequality includes equality, i.e., \(d\…
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solve for x. round to the nearest tenth, if necessary
\(x\approx45.7\)
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which graph has figures that can undergo a similarity transformation to…
The second graph (from the left)
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solve the inequality and graph the solution. -4(a + 5) ≥ 4 plot the end…
The solution of the inequality is $a\leq - 6$. On the number - line, we plot a closed circle at $-6$ (because the inequality includes equality, i.e., $a$ can be equal to $-6$) and…
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determine whether the statement can be assumed from the given figure. e…
No, the angles do not have a common side.
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solve the inequality and graph the solution. \\frac{q + 8}{4} \\leq 3 p…
The solution of the inequality is \(g\leq4\). On the number - line, we have a closed circle at \(4\) and a ray extending to the left.
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in $\triangle ijk$, the measure of $angle k = 90^{circ}$, $ik = 20$, $j…
\(0.69\)
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quadrilateral qrst is dilated and translated to form similar figure qrs…
\(\frac{1}{3}\)
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solve the inequality and graph the solution. 4(w + 6) > 8 plot the endp…
The solution of the inequality \(4(w + 6)>8\) is \(w>-4\). On the number - line, there is an open circle at \(w = - 4\) and a ray extending to the right.
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given (\triangle abc), use a dilation with the center at the origin to …
\((6,-3)\) (the fourth option)
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solve the inequality and graph the solution. 2(s + 2) - 3 ≥ 9 plot the …
The solution of the inequality \(2(s + 2)-3\geq9\) is \(s\geq4\). On the number - line, we plot a closed circle at \(s = 4\) (because the inequality is \(\geq\)) and draw a ray to…
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in circle, ( moverparen{bd}=36^{circ} ) find ( mangle bed ).( mangle be…
\(m\angle BED = 18^{\circ}\) (corresponding to the option \(m\angle BED=18^{\circ}\))
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determine whether the statement can be assumed from the given figure. e…
No; the angles are adjacent and are formed by two intersecting lines.
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8. in circle q, ( moverparen{pr}=66^{circ} ), find ( mangle pqr ). ( ma…
\(66\)
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solve the inequality and graph the solution. \\( \\frac { b + 2 } { 2 }…
The solution of the inequality is \(b\leq - 4\). On the number - line, we plot a closed circle at \(-4\) (because the inequality is \(\leq\), so the endpoint is included) and draw…
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derek tried to dilate the isosceles trapezoid abdc with the center of d…
The slope of \(AC\) is \(4\). The slope of \(EG\) is \(-3\). The polygons are not dilations of each other because the slopes of corresponding line segments are not equal.
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identifying vertices of the pre - image of a dilation triangle xyz was …
\((-8,-4)\)
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7. given circle o and circle p, match the part of the circle with the c…
- \(\angle WOJ\): Central Angle - \(\overarc{WS}\): Minor Arc - \(\angle CRI\): Inscribed Angle - \(\overarc{CIR}\): Major Arc - \(\overarc{RCI}\): Semicircle
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refer to the figure. if ( mangle fde=(3x - 15)^{circ} ) and ( mangle fd…
\(x = 17\)
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refer to the figure. if ( mangle adb=(6x - 4)^{circ} ) and ( mangle bdc…
\(7\)
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finding the vertex from the pre - image the rule for the dilation of qu…
\((0,1)\)
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determine whether the statement can be assumed from the given figure. e…
Yes; the angles are nonadjacent and are formed by two intersecting lines.
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5. given the circle below with tangent \\( \\overline{j k} \\) and seca…
\(5\)
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4. \\( \\overline { m s } \\) is tangent to circle \\( o \\) at point \…
\(m\angle DSM = 106^{\circ}\)
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determine whether the statement can be assumed from the given figure. e…
Yes, because \(\angle7\) is a right angle, \(\angle6\) and \(\angle8\) must form a right angle.
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3. in circle t, ( mangle rts = 82^{circ} ) and ( moverparen{rs}=(3x + 4…
Part A: The equation \(3x + 40=82\) should be used. Part B: The value of \(x\) is \(14\).
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8) 9) s 4 yd ? t 1 yd u st =
\(\sqrt{15}\text{ yd}\approx3.87\text{ yd}\)
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refer to the figure. if ( mangle 2=(a + 15)^{circ} ) and ( mangle 3=(a …
\(20\)
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2. in circle r with ( mangle qts = 37^{circ} ), find the measure of min…
\(74\)
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1. given circle o and circle p, match the part of the circle with the c…
- Radius: \(\overline{WO}\) - Tangent: \(\overleftrightarrow{WC}\) - Chord: \(\overline{R C}\) - Diameter: \(\overline{S J}\)
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∠1 and ∠2 are vertical angles. if m∠1=(5x−2)° and m∠2=(2x+10)°, then fi…
\(18^{\circ}\)
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what is sin 45°? a. √2 b. 1/2 c. 1 d. 1/√2
D. \(\frac{1}{\sqrt{2}}\)
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what is cos 30°? a. √3 b. 1/2 c. 1/√2 d. 1 e 1/√3 f. √3/2
F. $\frac{\sqrt{3}}{2}$
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what is tan 30°? a. √2 b. √3/2 c. √3 d. 1/√3 e. 2/√3 f. 1
D. \(\frac{1}{\sqrt{3}}\)
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underline the prefix in each word. then match the letter for the meanin…
A: 1. F midnight 2. C forecast 3. H semicircle 4. G transport 5. D declaw 6. A bicycle 7. E triangle 8. B illegal B: 1. B submarine 2. A microscope 3. E uniform 4. C contest 5. F …
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name date prefixes practice 2 a. add the prefix: un-, pre-, or over- to…
## Part A 1. *overactive* (assuming a typo in the problem as *overactive* imagination makes sense if we consider the context of having a lot of activity in imagination. If we stri…
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prefixes: in - im - out - a prefix is a word part that is added to the …
1. out - + live, circle "beyond" 2. in - + grown, circle "inside" 3. im - + possible, circle "not" 4. out - + shine, circle "beyond" 5. in - + direct, circle "not" 6. in - + put, …
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given the triangle below, what is the value of y? 6 cm y 25 25 y = type…
\(6\)
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is this quadrilateral a trapezoid? yes no
no
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multiple choice 10 points what is the value of x?
\(x = 40\)
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is this quadrilateral a trapezoid? yes no
no
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is this quadrilateral a trapezoid? yes no
yes
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guided practice 1. read the following words: football, color, animal, l…
6. D. dress 7. B. baby 8. D. dollar
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is this quadrilateral a trapezoid? yes no
no
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4) x ? 3 in z 14 in y xz =
\(XZ\approx14.32\) in
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is this quadrilateral a trapezoid? yes no
no
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is this quadrilateral a trapezoid?
no
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ab / xy = 4 / 2? ac / xz = √52 / √13 △abc ~ △xyz by the sss similarity …
\(\frac{BC}{YZ}=\frac{6}{3}\)
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if lines s and t are parallel, which pair of angles is supplementary an…
\(\angle BFG\) and \(\angle FGH\) are supplementary because when two parallel lines (\(s\) and \(t\)) are cut by a transversal (\(FH\)), same - side interior angles are supplement…
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hagorean theorem. round 3) uw =
\(6.7\) ft
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2. \\( \\overline { a b } \\cong \\overline { a c } \\) and \\( \\overl…
8. \(\angle A=\angle A\); 8. reflexive property of equality
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line segment ( overline{ac} ) is a perpendicular bisector of segment ( …
It must be the same length as segment \(\overline{DE}\)
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△abc is an isosceles triangle with legs ab and ac. △ayx is also an isos…
The proof uses the definition of isosceles triangles (to get equal side lengths), properties of equality (multiplication, substitution, and division) to establish the ratio of sid…
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in the diagram, \\( \\frac { v z } { y z } = \\frac { w z } { x z } \\)…
\(\angle VZW\cong\angle YZX\)