Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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what is the distance from the given point to the horizontal axis? (-4, …
\(8\)
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look at the diagram. which equation can be used to solve for x? 16x = 1…
The equation is \(2(x + 8)=126\) and \(x = 55\)
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the equation below describes a parabola. if a is positive, which way do…
B. Right
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3.3 assignment find the value of each variable in the rotation. r= s=
# Explanation: ## Step1: Use the property of rotation (corresponding sides are equal) Since in a rotation, corresponding sides are congruent. So, \(r = 24\) (because the side of l…
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determine the congruent criteria that can be used to
Side - Angle - Side (SAS)
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definition of ≅ △s side - side - side (sss) side - angle - side sas ang…
We cannot prove the triangles congruent as there is not enough information to satisfy any of the congruence criteria (SSS, SAS, AAS, ASA, HL).
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definition of ≅ △s side-side-side (sss) side-angle-side sas angle-angle…
Hypotenuse - Leg (HL)
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definition of ≅ △s side - side - side (sss) side - angle - side sas ang…
The two triangles are congruent by the SSS (Side - Side - Side) criterion.
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rotate the figure the given number of degrees about the origin. list th…
\(A'(1,1)\), \(B'(3,0)\), \(C'(3,-4)\), \(D'(1,-3)\)
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definition of ≅ △s side - side - side (sss) side - angle - side sas ang…
Angle - Side - Angle (ASA)
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determine the congruent criteria that can be used to pr definition of ≅…
Angle - Angle - Side (AAS)
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determine the congruent criteria that can be used to prove each pair of…
1. No congruence criterion (not enough information). 2. No congruence criterion (not correct angle - side - angle). 3. Hypotenuse - Leg (HL). 4. Side - Side - Side (SSS). 5. Angle…
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rotate the figure the given number of degrees about the origin. list th…
\(A'(1,0)\), \(B'(2,-2)\), \(C'(1,-4)\), \(D'(0,-2)\)
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find the value of x. x =
\(18\)
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13 multiple choice 1 point what is the value of x in this figure? 26 36…
\(45\) ### Question 14
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solve the inequality and graph the solution. 9s + 9 < -9 to draw a ray,…
The solution of the inequality \(9s + 9<-9\) is \(s < - 2\). On the number - line, we plot an open circle at \(-2\) (because the inequality is strict, i.e., \(s eq - 2\)) and dra…
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53° (3x + 4)° g d x = submit
\(x = 11\)
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11 multiple choice 1 point name the side opposite ∠wxy. 12 multiple cho…
\(\overline{WY}\) ### Question 12
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from unit 2, lesson 3 triangle abc is congruent to triangle fde. so lin…
A. Angle \(A\) coincides with angle \(F\), B. Angle \(B\) coincides with angle \(D\), C. Angle \(C\) coincides with angle \(E\)
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9 multiple choice 1 point the lengths of two sides of a triangle are 4 …
Question 9: 2 Question 10: SAS
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solve the inequality and graph the solution. -10 + 5y < 5 to draw a ray…
The solution of the inequality is \(y < 3\). On the number - line, there is an open circle at \(3\) and a ray extending to the left.
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7 multiple choice 1 point state the congruence relation for (\triangle …
7. A. SAS 8. A. \(\overline{PS}\)
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the equation below has real roots that are rational. use the rational z…
The actual rational roots of the equation \(21x^{3}-79x^{2}+51x - 9 = 0\) are \(x=\frac{1}{3},x=\frac{3}{7},x = 3\)
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which equation can be used to solve for x? 9x + 3 = 66 5x + 3 = 66 12x …
\(x = 7\)
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from unit 2, lesson 2 triangle hef is the image of triangle hgf after a…
\(\triangle HEF\cong\triangle HGF\)
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5 multiple choice 1 point according to the markings, this triangle is _…
scalene # 6.
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which equation can be used to solve for x? 2x + 49 = 83 2x - 33 = 83 2x…
\(x = 25\)
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solve the inequality and graph the solution. 1 + 3n ≥ -2 to draw a ray,…
The solution of the inequality \(1 + 3n\geq - 2\) is \(n\geq - 1\). On the number line, we have a closed circle at \(-1\) and a ray extending to the right.
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3 multiple choice 1 point the centroid of a triangle is the point of in…
3. the medians 4. 36
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from unit 2. lesson 2 triangle hef is the image of triangle hgf after a…
A. Angle \(A\) coincides with angle \(F\), B. Angle \(B\) coincides with angle \(D\), C. Angle \(C\) coincides with angle \(E\)
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the equation below has real roots that are rational. use the rational z…
\(\pm1,\pm\frac{1}{3},\pm\frac{1}{7},\pm\frac{1}{21},\pm3,\pm\frac{3}{7},\pm9,\pm\frac{9}{7}\)
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look at the diagram. which equation can be used to solve for x? solve f…
\(x = 10\)
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from unit 2, lesson 4 match each statement using only the information s…
A - 1, B - 3, C - 2
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2 multiple choice 1 point mr. gordon drew the following shapes. which t…
None of the options are correct based on the strict definition of congruent polygons (equal side lengths and angle measures). But if we assume a very basic (incorrect for higher -…
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look at the diagram. which equation can be used to solve for x? solve f…
The equation is \(3x + 45 = 180\) and \(x = 45\)
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which angles are supplementary to each other? ∠9 and ∠3 ∠4 and ∠1 ∠4 an…
\(\angle9\) and \(\angle3\)
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look at the diagram. which equation can be used to solve for x? solve f…
\(x = 8\)
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if ( gh = gj = 66 ), ( mangle gih = w + 30^{circ} ), and ( mangle gij =…
\(60\)
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if ∠ghj ≅ ∠ihj and gj = 98, what is ij?
\(98\)
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what is ( mangle srt )? ( mangle srt=square^{circ} )
\(70\)
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if ( fg = fi = 69 ), ( mangle fhg = p + 42^{circ} ), and ( mangle fhi =…
\(56\)
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name: date: quiz: interior angles of a triangle directions: solve for t…
1. \(x = 15\), angles are \(20^{\circ}\), \(75^{\circ}\), \(85^{\circ}\), and it is an acute triangle. 2. \(x = 16\), angles are \(96^{\circ}\), \(68^{\circ}\), \(16^{\circ}\), an…
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what is uv? uv =
\(96\)
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if (overline{fi}congoverline{hi}) and (mangle hgi = 49^{circ}), what is…
\(49\)
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what is the value of z? z =
\(27\)
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note: figure not drawn to scale. in the figure, line ( ab ) is parallel…
\( x = 128\), so the answer is C.
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what is the value of u?
\(10\)
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what is the perimeter of this square? 8 cm centimeters save answer
\(32\)
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line t has equation y = x - 3. find the distance between t and the poin…
\(3.5\)
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the equation below has real roots that are rational. use the rational z…
\(-9,-3,-1,-\frac{3}{7},-\frac{1}{3},-\frac{1}{7},-\frac{1}{21},\frac{1}{21},\frac{1}{7},\frac{1}{3},\frac{3}{7},1,3,9\)
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look at the diagram. which equation can be used to solve for x? 6x + 48…
# Explanation: ## Step1: Find the measure of the angle adjacent to \(48^{\circ}\) Since \( \angle FGD = 90^{\circ}\), the angle adjacent to \(48^{\circ}\) is \(90 - 48=42^{\circ}\…
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look at the diagram: which equation can be used to solve for x? solve f…
\(x = 47\)
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line ( l_1 ) has the equation ( x = 5 ) and line ( l_2 ) has the equati…
\(11\)
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the end of a hose was resting on the ground, pointing up an angle. sal …
3.2 feet
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what is the area? 12 m 11 m square meters save answer
\(132\)
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find the values of x and y. find x. select the correct choice below and…
A. The value of \(x\) is \(24\). A. The value of \(y\) is \(27.5\)
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find the values of x and y. find x. select the correct choice below and…
A. The value of \(x\) is \(14\). A. The value of \(y\) is \(13\).
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which figure has a greater area? save answer
The brown triangle has a greater area.
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look at the diagram. which equation can be used to solve for x? 39x = 1…
\(x = 18\)
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look at the diagram. which equation can be used to solve for x? 10x = 8…
\(x = 39\)
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find the values of x and y find x. select the correct choice below and,…
A. The value of \(x\) is \(4.8\)
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look at the diagram. which equation can be used to solve for x? solve f…
\(x = 7\)
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in the triangle shown, what is the value of sin y°? note: figure not dr…
C. \(\frac{24}{29}\)
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look at the diagram. which equation can be used to solve for x? 22x + 3…
\(x = 15\)
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an angle measures 128° more than the measure of its supplementary angle…
\(154\) and \(26\)
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an angle measures 128° more than the measure of its supplementary angle…
\(26\) and \(154\)
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here are three pairs of figures. which transformation takes figure a to…
Pair 1: rotation Pair 2: reflection Pair 3: translation
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mark for review note: figure not drawn to scale. in the figure, two lin…
A. \(53^{\circ}\)
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select all the sequences of transformations that could take figure p to…
a single reflection, a single rotation, a translation, then a reflection, a reflection, then a different reflection
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find the measure of the angle indicated in bold. 13) 14) 15) 16) find t…
13) \(59^{\circ}\) 14) \(\frac{1480}{17}\approx87.06^{\circ}\) 15) \(\frac{1880}{21}\approx89.52^{\circ}\) 16) \(60^{\circ}\) 17) \(48^{\circ}\) 18) \(116^{\circ}\) 19) \(50^{\cir…
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a rectangle is inscribed in a circle. the length of the shortest side o…
\(96\)
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if a cone has a volume of \\( \\frac { 250 } { 3 } \\pi \\mathrm { cm }…
B. 5 cm
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if the height of a cone is doubled and the radius remains the same, the…
D. Doubled
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a cone has a volume of $150\\pi\\mathrm{cm}^{3}$ and a radius of 5 cm. …
A. 18 cm
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which of the following dimensions do not affect the volume of a cone? a…
C. Slant height of the cone
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what is the value of u? work
\(7\)
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question 1 - 7 use what you know about congruence and rigid transformat…
Figure A and Figure B are congruent because a rigid transformation (such as rotation and translation) can map Figure A onto Figure B. Rigid transformations keep the shape and size…
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what is the value of ( u )? ( u = )
\(4\)
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if (overline{ps}congoverline{rs}), (pq = 4a), and (qr=a + 27), what is …
\(9\)
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solve and graph the following inequality: $-8x - 7 < 8$ or $-4 > 1 + x$
The solution of the compound inequality \(-8x - 7 < 8\) or \(-4>1 + x\) is \(x>-\frac{15}{8}\) or \(x < - 5\). To graph: - For \(x>-\frac{15}{8}=-1.875\), draw an open circle at \…
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if (overline{gj}congoverline{ij}) and (gh = 61), what is (hi)? (hi=squa…
\(61\)
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qt= what is qt?
\(\sqrt{57}\approx7.55\)
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what is yz? yz = submit
\(29\)
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if a cone has a radius of 5 cm and a height of 10 cm, its volume is: a.…
B. \(\frac{250}{3}\pi\ \text{cm}^3\)
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parallel lines review identify each pair of angles as corresponding, al…
1) Adjacent 2) Alternate exterior 3) Corresponding 4) Alternate interior 5) \(96^{\circ}\) 6) \(93^{\circ}\) 7) \(54^{\circ}\) 8) \(50^{\circ}\) 9) \(x = 10\) 10) \(x = 6\)
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if (overline{rs}congoverline{st}) and (ru = 54), what is (rt)?
\(108\)
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a cone has a height of 15 cm and a radius of 4 cm. what is its volume i…
A. \(80\pi\ \text{cm}^3\)
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if de = dg = 51 and fg = 80, what is ef? ef =
\(80\)
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solve and graph the following inequality: ( 1 geq 10 + x ) or ( -9x leq…
The solution of the inequality \(1\geq10 + x\) or \(-9x\leq - 7\) is \(x\leq - 9\) or \(x\geq\frac{7}{9}\). To graph \(x\leq - 9\), we draw a closed circle at \(-9\) (because the …
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question 1 - 6 (3 points) quadrilateral ( abcd ) is graphed on a coordi…
\(C'(4,3)\)
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solve and graph the following inequality: ( 8 leq 4x + 5 leq 9 )
The solution of the inequality is \(\frac{3}{4}\leq x\leq1\). On the number - line, there are closed circles at \(x=\frac{3}{4}\) and \(x = 1\) with a line segment between them.
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if two isosceles triangles have non - base angles of 40°, are they simi…
B. Yes. Since the triangles are isosceles, it means that they must have congruent base angles of \(70^{\circ}\). The triangles are similar by AA similarity.
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which of the following formulas is used to calculate the area of the ba…
B. $\pi r^{2}$
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write a description of what it takes for two prisms to be similar. choo…
D. Two prisms are similar as long as their bases are similar and all lengths of corresponding sides are proportional
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which of the following best explains why a cones volume is \\( \\frac {…
d. A cone occupies one - third of the space of a cylinder with the same base and height.
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solve and graph. provide answers accurate to the nearest tenth. |-4 + 9…
\(x<0.2\) or \(x > 0.7\) To graph: - Draw a number line. - Place an open circle at \(x = 0.2\) (since \(x eq0.2\)) and shade to the left of \(0.2\). - Place an open circle at \(x…
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triangle abc is similar to triangle def with a side of triangle abc tha…
a. E. \(\triangle ABC\) and \(\triangle GHI\) are similar by AA, SAS, and SSS similarity b. The ratio of corresponding sides of \(\triangle ABC\) and \(\triangle GHI\) is \(\frac{…
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a student wants to know how far above the ground the top of a leaning f…
\(266\)
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the volume of a cone is one - third the volume of a: a. pyramid b. cyli…
B. cylinder
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a photocopy of a polygon was reduced to 35% of its original size. then,…
a. B. Yes, because the angles stay the same and the corresponding sides are proportional b. The ratio of the corresponding sides of the second photocopy to the original is \(\frac…