Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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ing a triangle consider reflections of △jkl. what line of reflection ma…
y - axis
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describing the properties of a reflection. consider the reflection of △…
$C'Q = QC$, $\overleftrightarrow{PT}\perp\overline{A'A}$ (assuming we need to just identify two correct ones as the problem - solving process shows these are true. If we must choo…
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trapezoid lmnp was reflected using the rule $r_{y - axis}(x,y)\to(-x,y)…
The figure that represents the image of the reflection is the one that is the mirror image of trapezoid LMNP across the y - axis. Without seeing the full content of figures A, B, …
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trapezoid lmnp was reflected using the rule $r_{y - axis}(x,y)\to(-x,y)…
The correct figure among A, B, C, D which is the mirror - image of trapezoid LMNP across the y - axis (you need to visually check the options based on the above rule application).
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determining an image which reflection will produce an image of △rst wit…
a reflection of $\triangle{RST}$ across the line $y=-x$
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finding the coordinates of an image sumy is working in geometry class a…
B. $(b, a)$
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working with the rule of reflections what is the rule for the reflectio…
$r_{y - axis}(x,y)\to(-x,y)$
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multiple choice question an employees involvement in and commitment to …
B. employee engagement
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10) a wheelchair ramp is 10 feet long. the ramp sits up on a 2 - foot p…
$4\sqrt{6}\approx9.8$ feet
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if a = (-3, 1) and b = (1, 0), what is the angle between the two vector…
$\theta\approx108.43^{\circ}$
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if v1 = (-5, 4) and v2 = (9, 0), what is the angle between the two vect…
$141.34^{\circ}$
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8) what is the total height, in feet, of the flagpole?
Approximately \(35.85\) ft
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write a conditional statement from each venn diagram. 34. mammals dolph…
34. If an animal is a dolphin, then it is a mammal. 35. If a person is a Texan, then they are an American. 36. If \(x < - 4\), then \(x < - 1\)
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what is the distance between 0 and 4 on the number line? 4 units what i…
4
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what is the distance between 0 and 4 on the number line? units
4
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what is the distance between the surface of the water and the observati…
1. The distance between the surface of the water and the observation deck is 15 meters. 2. The distance between the surface of the water and the microphone is 10 meters. 3. The di…
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if $v_1=langle - 8,9 angle$ and $v_2=langle7,0 angle$, what is the angl…
$131.69$
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if $v_1=langle - 5,6 angle$ and $v_2=langle3,0 angle$, what is the angl…
$130.0^{\circ}$
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review question (drag circle to correct answer) which of the following …
C. Open market operations
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write the converse, inverse, and contrapositive of each conditional sta…
Converse: False; Inverse: False; Contra - positive: True ### 23.
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review question (drag circle to correct answer) why does the federal re…
d. To lessen the effect of natural business cycles
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review question (drag circle to correct answer) the purpose of expansio…
A. Increase output
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review question (drag circle to correct answer) if a government is faci…
b. Decrease government spending and increase taxes
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review question (drag circle to correct answer) government increase of …
b. Slower inflation
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if k is the midpoint of $overline{er}$, $ek = 3x + 7$, and $rk = 5x - 9…
$x = 8$ $ER = 62$
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q is between m and n. mn = x + 22, mq = 16 + 2x, and nq = 12. draw and …
\(x=-6\) \(MQ = 4\)
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review question (drag circle to correct answer) which of the following …
d. Neither is equitable
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11. a triangle whose all the angles are of measure less 12. a triangle …
1. Acute - angled triangle 2. (b) and (c) 3. (No figure, cannot answer) 4. \(45^{\circ}\) 5. \(51^{\circ}\) and \(39^{\circ}\) 6. (No figure, cannot answer) 7. (No figure, cannot …
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4) a grid shows the position of a subway stop and your house. the subwa…
8
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2) use the picture to answer the questions below. a) if a = 3 and b = 4…
a) Area of Square A is 9, Area of Square B is 16. b) Area of Square C is 25. c) Side - length of Square C is 5.
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r is between h and z. hr = x - 2, hz = 13, and rz = x + 7. draw and lab…
$x = 4$ $HR=2$
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determine if each conditional is true. if false, give a counterexample.…
9. True 10. False, counter - example: \(x = 1,y=-2\) 11. False 12. Converse: If Brielle travels 10 mi in 20 min, then she drives at exactly 30 mi/h. True. Inverse: If Brielle does…
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domain: range:
Domain: $(-2,5)$ Range: $(-4,4)$
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review question (drag circle to correct answer) which of the following …
D. Checking the price of a camera at several stores before buying it at the lowest price
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in the given figure, find ∠cbd. also, if ∠a = 75°, ∠c = 55°, find ∠abd
$\angle ABD = 50^{\circ}$, $\angle CBD = 130^{\circ}$
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solve the compound inequality. 2x + 4 < -4 or 3x + 1 > 10 graph the sol…
The solution of the compound - inequality is $x < - 4$ or $x>3$. On the number line, we have an open circle at $x = - 4$ and shade to the left, and an open circle at $x = 3$ and s…
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1. the currency in malaysia is the ringgit. the exchange rate is approx…
1. b) 12 2. a) 60 3. b) 6 4. b) 6 5. c) 4
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if c is rotated -270° about the point (-1, -2), then reflected along th…
The coordinates of $C'$ depend on the initial coordinates of $C$. If $C=(x,y)$, after rotation 90° clock - wise about $(-1,-2)$ and reflection along the x - axis, $C'=(y + 1,x + 3…
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in the following problem, the expression is the right side of the formu…
b. $\cos(45^{\circ})$ c. $\frac{\sqrt{2}}{2}$
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in the given figure, ∠acd = 16°. find the value of x. given x:y = 3:5 a…
\(x = 60^{\circ}\), \(y = 100^{\circ}\), \(z = 20^{\circ}\)
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triangle abc is transformed to create triangle mnl. which statement is …
The transformation is rigid because corresponding side lengths and angles are congruent.
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triangle stv is transformed to create the image, triangle utv. which si…
$\overline{TV}$
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round to the nearest tenth when necessary. 1 fill in the blank 1 point
$18.1$
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2 fill in the blank 1 point x = 21.84 previous
$40.5$
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a.v. geometry sem a geometry introduction to transformations which tran…
rotation
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3 fill in the blank 1 point $mangle c = 36^{circ}, ab = 31, bc = 24$, f…
$27^{\circ}$
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the figure on the right is a scaled copy of the figure on the left, tho…
The side that corresponds to segment \(FC\) is \(RQ\). The scale - factor cannot be determined with the given information.
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a pilot flying over the norfolk airport is told he will have to redirec…
$78.3$ miles
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i. multiple choice (1 - 20) encircle the letter of the correct answer. …
1. B. The boys play basketball every afternoon. 2. A. dog's 3. B. sunshine 4. B. reflexive 5. B. She was dancing gracefully. 6. A. smells 7. B. The teacher explained the lesson. 8…
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ova v geometry sem a geometry introduction to transformations. triangle…
$\angle R$ corresponds to $\angle U$, $SQ$ corresponds to $VT$ (but among the given options, the correct ones are: $\angle R$ corresponds to $\angle U$ and the side - corresponden…
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which belief system has the yin - yang circle? ○ hinduism ○ confucianis…
D. Daoism
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one of these points is not like the others, part two a. plot and connec…
b. The point (1,-3) does not fit the pattern. c. The shape formed by the points if they all fit would be an irregular polygon - like shape. d. The corrected point is (1,6).
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20va v. geometry sem a geometry introduction to transformations triangl…
It is isometric. It is rigid. The size is preserved.
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which transformations are non - rigid transformations? choose two corre…
D. stretch, E. dilation
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20va v. geometry sem a geometry introduction to transformations which t…
The transformation is a rotation.
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what is the length of the missing leg? if necessary, round to the neare…
$2.9$
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point h lies on fg such that fh:gh is 3:1. graph h.
Graph the point \((7.5,11)\) on the given coordinate plane.
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what is the length of the hypotenuse? if necessary, round to the neares…
9.5
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analyzing a description of a transformation all side lengths of △jkl eq…
D. No, at least one segment length is not preserved, making this a nonrigid transformation.
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what is the length of the hypotenuse? if necessary, round to the neares…
$2.2$
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what is the length of the missing leg? if necessary, round to the neare…
$4.6$
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determining the type of transformation which type of transformation map…
dilation
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what is the length of the missing leg? if necessary, round to the neare…
$3.9$
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what is the length of the missing leg? if necessary, round to the neare…
$40$
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identifying corresponding parts consider the rotation of figure wxyz sh…
Point W corresponds to point W'. Angle ZWX corresponds to angle Z'W'X'.
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what is the length of the hypotenuse? if necessary, round to the neares…
10
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identifying a reflection which transformation shows a reflection of △de…
The option where the triangle △D'E'F' is a mirror - image of △DEF (where corresponding sides and angles are congruent and the orientation is flipped) is the correct transformation…
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what is the length of the missing leg? if necessary, round to the neare…
33
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point g lies on ef such that eg:fg is 3:5. graph g.
The coordinates of point \(G\) are \((-3.625,3)\). To graph \(G\), locate the point \((-3.625,3)\) on the coordinate - plane. Mark a point on the grid where \(x=-3.625\) (between …
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given sin θ = $\frac{5}{6}$, what is cos θ? cos θ = $\frac{sqrt{?}}{}$ …
$\frac{\sqrt{11}}{6}$
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in the figure below, lines l and k are parallel. suppose that m∠5 = 78°…
By the angle addition property, $m\angle4 + m\angle2 + m\angle5 = 180^{\circ}$. We are given that $m\angle4 = 45^{\circ}$ and $m\angle5 = 78^{\circ}$, so $m\angle2 = 57^{\circ}$. …
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what is the length of the hypotenuse? if necessary, round to the neares…
70
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determining whether a transformation is isometric the transformation ma…
It is isometric because all side lengths and angle measures remained the same.
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eighth grade t.3 pythagorean theorem: find the missin... mtm questions …
36
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etermining the type of transformation a transformation is shown in the …
$\triangle ABC$ was rotated to form $\triangle A'B'C'$. The transformation is isometric.
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what is the length of the hypotenuse? if necessary, round to the neares…
75
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analyzing a transformation. the mapping of defg to defg is shown. which…
1. $\overline{EF}$ corresponds to $\overline{E'F'}$. 2. $\angle DEF\cong\angle D'E'F'$. 3. The transformation is a rigid transformation. (Note: Since we need 4 correct answers and…
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homework: slope review name directions: find the slope of the line show…
The slope values will vary depending on the two points chosen on each individual line in the graphs. For a non - vertical line passing through points $(x_1,y_1)$ and $(x_2,y_2)$, …
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identifying a transformation what type of transformation maps △qrs to △…
rotation
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find the area of the shaded region. the area of the shaded region is (s…
$24x^{2}-22x + 3$ square meters
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identifying the rigid transformations. which transformations are rigid …
reflection, rotation, translation
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4 from unit 1, lesson 15 which of these sets of angle - measures could …
For the triangle - angle problem: B. $50^{\circ},60^{\circ},70^{\circ}$ For the parallel - lines problem: a. $38^{\circ}$ (Alternate interior angles) b. $38^{\circ}$ (Vertical ang…
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los colores y las formas a. busque ud. las siguientes palabras en el bu…
10. negro - black 3. azul - blue 5. café - brown (1) 11. pardo - brown (2) 7. gris - gray 15. verde - green 2. anaranjado - orange 14. rosado - pink 12. purpúreo - purple (1) 16. …
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which angles are supplementary to ∠bed? select all that apply.
∠BEC, ∠DEA, ∠CEA
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write an expression for the area of the largest rectangle on the right …
The first way (factored form): $x(1 + 3x)$ The second way (expanded form): $x + 3x^{2}$
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the length of a rectangle is 4 yd less than three times the width, and …
Length: 11 yd Width: 5 yd
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which angles are supplementary to ∠afb? select all that apply.
∠DFE, ∠EFA, ∠CFE
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lesson 4 - 1 1. if q is between a and m and mq = 7.3 and am = 8.5, then…
B. 1.2
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4. decide if each pair of triangles below is similar. explain your reas…
The two triangles are similar because all three pairs of corresponding angles are equal (by the AA similarity postulate).
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i. determine whether each set of measures can be the sides of a right t…
5. \(8.6\) 6. \(6\) 7. \(12\) 8. \(\frac{1}{4}\)
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find the area of the rectangle. (6x + 5) yards (6x - 5) yards the area …
$36x^{2}-25$ sq yd.
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what is the value of p? 31° p = □°
$31$
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what is the value of s? s = □°
$54$
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what are the values of w and x? r 9 s 32° w p q x w = x =
$w = 9$, $x = 32$
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what are the values of a and b? 119° a b a = □° b = □°
$a = 61^{\circ}$, $b = 58^{\circ}$
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given: eg = hk, fg = hj. prove: ef = jk. 1. fg = hj (given) 2. ef + fg …
The proof is completed by using the segment - addition property and substitution to show that $EF = JK$.
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the area of the entire rectangle to the right is x(x + 5). find another…
$x^{2}+5x$
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what are the values of b and c? v b u 4 74° t b = c =
$b = 4$, $c = 37^{\circ}$
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what are the values of t and u? t = □° u = □°
$t = 43^{\circ}$, $u = 94^{\circ}$
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what is the value of c?
$3$