Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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a. name the midsegments and sides that are parallel in (\triangle fhk).…
A. \(\overline{HK}\parallel\overline{GL}\), B. \(\overline{FH}\parallel\overline{JL}\), F. \(\overline{FK}\parallel\overline{GJ}\)
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a. name the midsegments and sides that are parallel in \\( \\triangle a…
a. A. $\overline{AB}\parallel\overline{EF}$, B. $\overline{AC}\parallel\overline{DF}$, F. $\overline{BC}\parallel\overline{DE}$ b. B. $DF = \frac{1}{2}AC$, C. $EF=\frac{1}{2}AB$, …
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a. name the midsegments and sides that are parallel in △abc. b. name th…
A. \(\overline{AB}\parallel\overline{EF}\), B. \(\overline{AC}\parallel\overline{DF}\), F. \(\overline{BC}\parallel\overline{DE}\)
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what is a midsegment? choose the correct answer below. a. a midsegment …
D. A midsegment is a segment connecting the midpoints of two sides of a triangle.
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if lk = 58, what is nm? nm = (simplify your answer.)
\(29\)
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video: introduction to solving absolute value inequalities graph inequa…
\((-4,4)\)
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solve each triangle abc that exists. a = 43.5° a = 8.9 m b = 10.2 m sel…
B. There are two possible solutions for the triangle The measurements for the solution with the longer side \(c\) are as follows: \(B_1 = 52.1^{\circ}\) (Round to the nearest tent…
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solve for x. 17) 18) find the measure of angle a. 19) 20)
17) \(x=-7\) 18) \(x=-4\) 19) \(\angle A = 50^{\circ}\) 20) \(\angle A = 40^{\circ}\)
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rectangle abcd has vertices a(-6, -2), b(-3, -2), c(-3. -6), and d(-6, …
\(T_{-4,3}(x,y)\)
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a triangle on a coordinate plane is translated according to the rule ( …
\((x,y)\to(x - 3,y + 5)\) (the first option)
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which statements are true about triangle abc and its translated image, …
The rule for the translation can be written as \((x,y)\to(x + 3,y - 3)\) (third option)
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what is the surface area of the rectangular prism below?
\(248\space m^{2}\)
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tyler has a box with a surface area of 62 square feet. what is the volu…
The volume of the box is \(30\) cubic feet.
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jasmine made a structure using two six - sided cubes that connect at a …
\(484\) square feet
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triangle abc is translated according to the rule $(x,y)\\to(x + 2,y - 8…
\((6,-13)\) (the fourth option)
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irina wants to tile her floor using the translation shown below. which …
\(T_{-3,2}(x,y)\) (the first option)
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a triangle on a coordinate plane is translated according to the rule ( …
\((x,y)\to(x - 8,y + 4)\) (the third option)
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which angles are supplementary to $\\angle 14$? select all that apply.
\(\angle9\), \(\angle10\), \(\angle13\)
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which rule represents the translation from the pre - image, □abcd, to t…
\(T_{1,1}(x,y)\) is not an option. Wait, re - check. Take \(C(-5,1)\) to \(C'(-4,2)\): \(x\) changes by \(1\) (\(x'=x + 1\)), \(y\) changes by \(1\) (\(y'=y+1\)). But if we assume…
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which angles are vertical to each other? select all that apply. 1 2 3 4…
\(\angle6\) and \(\angle2\), \(\angle5\) and \(\angle3\)
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the hypotenuse of an isosceles right triangle is 8 centimeters longer t…
The length of one leg is \(8 + 8\sqrt{2}\), the length of the other leg is \(8 + 8\sqrt{2}\), and the length of the hypotenuse is \(16 + 8\sqrt{2}\)
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the varners live on a corner lot. often, children cut across their lot …
\(18\) feet
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explaining how to translate a figure you are given the coordinates of a…
First, find the translation rule by subtracting the coordinates of the original vertex from the coordinates of its image. Then, apply this rule to all vertices of the triangle.
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the image of trapezoid abcd has coordinates a(-2,-5), b(-1,-2), c(2,-2)…
The first diagram (assuming the first diagram has vertices \(A(-1,-2)\), \(B(0,1)\), \(C(3,1)\), \(D(4,-2)\)) shows the pre - image.
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randy draws triangle abc on the coordinate plane with vertices a(7, -4)…
\(T_{-2,5}(x,y)\) (the second option)
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which of the following is not an essential part of a two - column proof…
O Staircase logic
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what type of proof is used extensively in geometry? o two - column proo…
two - column proof
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a graphic designer wants to translate rectangle defg using ( t_{-1,2}(x…
The image of rectangle \(DEFG\) has vertices \(D'(-2,5)\), \(E'(3,5)\), \(F'(3,3)\), and \(G'(-2,3)\). Based on the coordinate - based analysis of the translation, the second grap…
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triangle qrs has vertices q(8, -6), r(10, 5), and s(-3, 3). what are th…
\(Q'=(0.4,-1.7)\), \(R'=(2.4,9.3)\), \(S'=(-10.6,7.3)\)
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writing a rule for a translation which rule describes the translation? …
\((x,y)\to(x + 8,y-3)\) (the third option)
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video: multiplication property of inequality and examples solve the ine…
Solution: \(x < 7\) Interval notation: \((-\infty,7)\) For the graph: Place an open circle at \(x = 7\) (because \(x\) is not equal to \(7\)) and draw an arrow to the left (toward…
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a triangle is drawn on the coordinate plane. it is translated 4 units r…
\((x,y)\to(x + 4,y-3)\) (the third option)
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find the values of x and y. x = \\square and y = \\square
\(x = 45\) and \(y = 45\)
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video: introduction to linear inequality graph the inequality below and…
The interval notation is \((-\infty,-2)\) and \((1,\infty)\)
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how should the following statement be written in if - then form? the su…
If the sum of the measures of the angles is 180 degrees, then there exists a triangle.
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question 10 of 10 based only on the information given in the diagram, i…
A. True
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question 9 of 10 jason places a mirror on the ground 40 feet from the b…
C. 30 feet
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question 8 of 10 what is the length of (overline{cd})? in this diagram,…
A. 5
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question 7 of 10 what is the value of h in the figure below? in this di…
D. 12
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which of the following is the conclusion of the statement \an angle has…
then it has exactly one bisector
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based only on the information given in the diagram, it is guaranteed th…
B. False
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write the following statement in if - then form. two opposite rays form…
The hypothesis is "if two rays are opposite".
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question 5 of 10 what is the value of x in the figure below? in this di…
E. \(\sqrt{45}\)
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what types of statements can be used to support conclusions made in pro…
A. definitions, B. logic, C. postulates, E. previously proved theorems
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find the value of x, y, and z in the rhombus below.
\(x=-9\), \(y = - 103\), \(z=-37\)
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question 5 of 10 what is the value of x in the figure below? in this di…
E. \(\sqrt{45}\)
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question 4 of 10 in right triangle (\triangle efg), (mangle e = 25^{cir…
D. AA
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question 2 of 10 what is the value of m in the figure below? in this di…
F. \(\sqrt{70}\)
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find the x - and y - coordinates of the point c. the coordinates of c a…
\((2,4)\)
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9. if \\( \\overline{qs} \\) bisects \\( \\angle pqt, m \\angle sqt=(8 …
\( x = 12\), \(m\angle PQT=142^{\circ}\), \(m\angle PQS = 68^{\circ}\), \(m\angle TQR=38^{\circ}\)
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plot the ordered pair (5,4). state in which quadrant or on which axis t…
B. I
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plot the ordered pair (0,1). state in which quadrant or on which axis t…
The point \((0,1)\) lies on the \(y -\)axis.
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7. if ( mangle lmp ) is 11 degrees more than ( mangle nmp ) and ( mangl…
\(m\angle NMP = 63^{\circ}\), \(m\angle LMP=74^{\circ}\)
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solve for x and graph the solution on the number line below. -18 ≤ -x -…
Inequality Notation: \(9 < x\leq12\) For the number line: Place a closed circle at \(x = 12\) (since \(x\) can equal \(12\)) and an open circle at \(x = 9\) (since \(x\) cannot eq…
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plot the ordered pair $(-4,-1)$. state in which quadrant or on which ax…
C. III
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17. if np bisects ∠mnq, m∠mnq=(8x + 12)°, m∠pnq=78°, and m∠rnm=(3y - 9)…
\(x = 18\), \(y = 11\)
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look at the diagram. which equation can be used to solve for x? 11x = 9…
\(x = 6\)
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look at the diagram. which equation can be used to solve for x? 3(5 + x…
\(3(5 + x)+60 = 180\)
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plot the ordered pair (5,4). state in which quadrant or on which axis t…
The point \((5,4)\) lies in the first quadrant (where \(x>0\) and \(y > 0\)).
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solve for x and graph the solution on the number line below. -20 ≤ -4x …
Inequality Notation: \(x\leq4\) or \(x\geq10\) For the number - line: - Place a closed (filled) circle at \(x = 4\) and draw a line to the left (towards more negative numbers). - …
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solve for x and graph the solution on the number line below. 21 < 3x + …
Inequality Notation: \(4 < x<8\) To graph on the number - line: Place open circles at \(x = 4\) and \(x = 8\) (because the inequalities are strict, i.e., \(<\) not \(\leq\)) and d…
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in parallelogram fghj if ( mangle fgh = 110^{circ} ) find ( mangle hjf …
\(70^{\circ}\)
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write the vector in the form $langle a,b angle$. the vector is $square$…
\(\langle-3.6252,1.6904 angle\)
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which statements are true? select all that apply. the slope of \\( \\ov…
The slope of \(\overline{DB}\) is equal to the slope of \(\overline{GF}\); The slope of \(\overline{DB}\) is equal to the slope of \(\overline{GE}\); The slope of \(\overline{DB}\…
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the length of a rectangular sign is 3 times its width. if the signs per…
48
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solve for $x$ and graph the solution on the number line below. $-31>5x …
Inequality Notation: $-10\leq x < - 8$ For graphing on the number - line: - Put a closed circle at $x = - 10$ (because the inequality includes equality for $x=-10$: $x\geq - 10$) …
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solve the following inequality and graph the solution: (x + 7)(x - 7) l…
The solution in interval notation is \([-7,7]\). To graph the solution, place a closed (filled - in) circle at \(x=-7\) and \(x = 7\) and draw a line segment connecting them on th…
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determine the remaining sides and angles of the triangle abc. a = 100.4…
\(b\approx367.0\)
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solve for ( x ) and graph the solution on the number line below. ( -7 l…
Inequality Notation: $-7\leq x\leq 12$ To graph on the number line: Place a closed - circle at $x = - 7$ (because the inequality includes equality for $-7$) and at $x = 12$ (becau…
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find the magnitudes of the horizontal and vertical components for the v…
The magnitude of the vertical component of \(\mathbf{v}\) is \(37\)
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why can the law of sines not be used to solve a triangle if we are give…
D. To use the law of sines, we must know an angle measure, the length of the side opposite it, and at least one other angle measure or side length.
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solve for x and graph the solution on the number line below. 3 ≥ x - 7 …
Inequality Notation: \(8 < x\leq10\) To graph on the number line: - Draw an open circle at \(x = 8\) (because \(x>8\), the value \(8\) is not included in the solution set). - Draw…
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3) surface area = 290 mm²
\(x = 8\) mm
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determine the remaining sides and angles of the triangle abc. a = 200 m…
\(c = 175\space m\)
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19. find the area of this triangle. multiply the base and the height an…
The area of the triangle is \(150\) square inches.
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figure jklm is a rectangle, so ( mangle kjm=mangle klm = 90^{circ} ) an…
Angles that are congruent are complementary to the same angle.
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solve for $x$ and graph the solution on the number line below. $16\\geq…
Inequality Notation: $-5\leq x\leq7$ To graph on the number line: Place a closed circle at $-5$ (since $x = - 5$ is included) and at $7$ (since $x = 7$ is included), and draw a li…
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20. find the perimeter and area of the rectangle. 4.4 in. 2.2 in.
The perimeter is \(13.2\) inches and the area is \(9.68\) square inches.
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18. find the perimeter. what type of triangle is this? 2.4 in. 4 in. 3.…
The perimeter is \(9.6\) inches. This is a scalene right - angled triangle.
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determine the remaining sides and angles of the triangle abc. a = 104.9…
\(a\approx381.3\)
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2) surface area = 202 m² x 13 m x =
\(x = 2\)
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two parallel lines are crossed by a transversal. what is the value of y…
\(y = 80\) (corresponding to the option \(y = 80\))
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determine the remaining sides and angles of the triangle abc. a = 104.9…
\(35.72\)
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determine the remaining sides and angles of the triangle abc. a = 119.6…
\(a\approx501.2\)
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skill set #4.1 - identify quadrilaterals answer attempt 1 out of 5 the …
parallelogram
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determine the remaining sides and angles of the triangle abc. a = 26.21…
\(b\approx8.94\) m
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determine the remaining sides and angles of the triangle abc. a = 140°4…
\(BC\approx1.80\)
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find the surface area of this regular triangular pyramid. sa = cm²
\(173.2\)
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what is the value of x? x = 2.25 x = 11.25 x = 13 x = 22 brainly search
\(x = 11.25\)
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find the surface area of this triangular prism. sa = ft2
\(828\) \(ft^{2}\)
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solve for ( x ) and graph the solution on the number line below. ( 14 >…
Inequality Notation: \(5 < x<11\) For the number - line: - Place an open circle at \(x = 5\) (because \(x>5\), the value \(x = 5\) is not included in the solution set) - Place an …
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find the surface area of this triangular prism. sa = m²
\(1344\)
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find the surface area of this triangular prism. sa = □ m²
\(816\)
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find the surface area of this triangular prism. sa = m²
\(336\)
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find the surface area of this triangular prism. sa = m²
\(84\)
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solve for $x$ and graph the solution on the number line below. $14>x + …
Inequality Notation: \(5 < x < 11\) To graph on the number line: - Draw an open circle at \(x = 5\) (because \(x>5\), \(5\) is not included) - Draw an open circle at \(x = 11\) (b…
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determine the remaining sides and angles of the triangle abc. a = 31.08…
\(b\approx9.64\) m
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what is the surface area of this rectangular prism? sa = ft²
\(43200\)
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what is the surface area of this rectangular prism? sa = ft²
\(382\)
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6 ft 10 ft 8 ft what is the surface area of this rectangular prism? sa …
\(376\)