Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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figure abcd is a parallelogram. two trapezoids are created using line s…
Each area is equal to half of the area of \(ABCD\)
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given $m\\angle1 + m\\angle2 = 120^{\\circ}$ $m\\angle3 + m\\angle4 = 1…
Subtraction Property of Equality
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a solid right pyramid has a regular hexagonal base with an area of ( 5.…
\(\frac{1}{3}(5.2)h\mathrm{cm}^3\) (the third option)
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given m∠1 + m∠2 = 120° m∠3 + m∠4 = 120° ∠2 ≅ ∠3 prove ∠1 ≅ ∠4 statement…
Subtraction Property of Equality
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which shape could be thought of as being created by stacking congruent …
rectangular prism
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given $m\\angle1 + m\\angle2 = 120^{circ}$ $m\\angle3 + m\\angle4 = 120…
6) Substitution Property; 7) Subtraction Property of Equality
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the volume of an object is equal to the ratio of its mass to density, (…
1.0 cm
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a section of a rectangle is shaded the area of the shaded section is 63…
11 units
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given ∠x and ∠y are supplementary ∠x ≅ ∠y ∠z is a right angle prove ∠x …
If two congruent angles are supplementary, then each angle is a right angle.
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an equilateral triangle has an apothem measuring 2 16 cm and a perimete…
\(24.2\space cm^{2}\) (rounded to the nearest tenth)
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question #3 which expression represents the perimeter of the triangle? …
\(10a + 34\) (the option corresponding to \(10a + 34\) in the multiple - choice list)
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∠4 ≅ ∠1 prove ∠4 ≅ ∠3 statement 1) ∠1 and ∠2 are complementary 2) ∠3 an…
Congruent - Complements Theorem
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the base of a solid right pyramid is a regular hexagon with a radius of…
\(6x^{2}\sqrt{3}\text{ units}^{2}\) (the fourth option)
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what is the measure of \\( \\angle b \\)? \\( 98 ^ { \\circ } \\) \\( 1…
\(108^{\circ}\)
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the shaded figure is a rhombus the area of the shaded section is 60 squ…
8 units
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a solid oblique cone with a slant length of 17 units is placed inside a…
\(640\pi\) cubic units (corresponding to the third option)
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what is the area of parallelogram rstu? 21 square units 24 square units…
28 square units
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choose the correct answer. which property is illustrated in this statem…
Reflexive Property
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the regular hexagon has a radius of 4 in. what is the approximate area …
\(42\) in² (the second option)
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every possible cross - section of a three - dimensional figure is a cir…
sphere
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what is the area of parallelogram rstu? 24 square units 26 square units…
\(24\) square units (the first option)
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the radius of a sphere is 3 inches. which represents the volume of the …
36π cubic inches
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is the statement true or false? if a shape is a square, then the shape …
True
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the height of a cylinder is twice the radius of its base. what expressi…
\(2\pi x^{3}\) (the second option)
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friday 8.g.5 1.) lines ( l _ { 1 } ) and ( l _ { 2 } ) are parallel and…
1. \(C\) 2. \(D\)
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an oblique cylinder has a diameter of 14 units. the volume of the cylin…
24 units
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a right cylinder has a radius of 2 units and a height of 5 units. what …
62.8 cubic units
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the radius of the large sphere is double the radius of the small sphere…
8
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the volume of the sphere is \\( \\frac { 500 } { 3 } \\pi \\) cubic uni…
5 units
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a cylinder has a radius of 1 inch and height of 1 inch. what is the app…
3.14 cubic inches
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the base diameter and the height of a cone are both equal to x units. w…
\(\frac{1}{12}\pi x^{3}\) (the fourth option)
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11. when triangle abc is reflected across line ab, the image is triangl…
11. A 12. B, C, F
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5. triangle fgh is the image of isosceles triangle feh after a reflecti…
C. Diagonal \( FH \) bisects angles \( EFG \) and \( EHG\); E. Angle \( FEH \) is congruent to angle \( FGH\)
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what is the length of ? gd =
\(7\)
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answer the following questions using what youve learned from this unit.…
1. - Part I: greatest - Part II: decreasing - Part III: - A. Degree: \(4\), Descending order: \(11x^{4}-4x^{2}-12\) - B. Degree: \(4\), Descending order: \(-3x^{4}+2x^{3}+3x^{2}+7…
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scale 1 in : 5 ft answer the following. (a) the wingspan of the real ai…
\(30\)
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6. by definition, a parallelogram is a quadrilateral in which both pair…
The proof is completed as above to show \(\overline{AD}\cong\overline{BC}\).
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6. by definition, a parallelogram is a quadrilateral in which both pair…
4. \(\angle3\) 5. \(\angle4\) 6. \(\overline{AC}\cong\overline{AC}\); Reflexive Property of Congruence 7. \(CDA\); ASA (Angle - Side - Angle) 8. CPCTC (Corresponding Parts of Cong…
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6. by definition, a parallelogram is a quadrilateral in which both pair…
(a) \(m\angle M = 60^{\circ}\) (b) \(m\angle Q=35^{\circ}\)
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give the location of phoenix as an ordered pair $(x,y)$.
\((-6,-9)\)
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note: figure is not drawn to scale. if the measure of \\( \\angle z \\)…
C. \(41^{\circ}\)
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4 note: figure is not drawn to scale. if ( mangle1 + mangle3 = 150^{cir…
A. \(30^{\circ}\)
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in the picture below, line pq is parallel to line rs, and the lines are…
D. \(\angle H\) and \(\angle E\)
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find the volume of the rectangular prism.
\(343\) yd³
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graph the image of \\( \\triangle tuv \\) after the following sequence …
The new coordinates of the vertices of \(\triangle TUV\) after the sequence of transformations are \(T'(8,-12)\), \(U'(6,-6)\), \(V'(2,-12)\)
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think about the process suppose (\triangle pqr) is rotated (270^{circ})…
\((-3,1)\)
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think about the process suppose \\( \\triangle p q r \\) is rotated \\(…
\((-3,-1)\)
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8. examine the given figure. suppose \\( \\angle a d b \\cong \\angle a…
\(\overline{AC}\cong\overline{AD}\)
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name the included angle for each pair of sides. 1. \\( \\overline { p q…
1. \(\angle P\) 2. \(\angle R\) 3. \(\angle Q\) 4. \(PN\) 5. \(NO\) 6. \(DP\)
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7. triangle nmp is graphed below. triangle nmp is rotated 180° counterc…
\(N'(-1,-5),M'(-9,-4),P'(-5,-1)\) (the fourth option)
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what could be the length of the shortest side of the park? o a 80 km o …
A. 80 feet
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mathematics progress check which series of transformations shows that p…
A. Rotate pentagon A \(90^{\circ}\) clockwise about the origin, reflect it over the \(x -\)axis, and translate it 6 units to the left.
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which of the following transformations will produce a figure that is si…
A. dilation
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3 select the correct answer from the drop - down menu. shape a congruen…
Shape A is congruent to shape B.
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2 figure b is a reflection of figure a. which of the following is true?…
B. The two figures are congruent.
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a cylinder can be modeled as a rectangle rolled up around itself. the a…
\(A = 2\pi rh\) (the second option)
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ii. what is the scale factor, if qrs is a dilation of prt?
The scale factor is \( 0.78 \)
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1. what is the scale factor, if edc is a dilation of abc? bo = 0.8 de =…
The scale factor is \(\frac{41}{35}\approx1.17\)
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5. examine the given figure. ( overline{np} ) bisects ( overline{lm} ) …
\(\triangle MPN\cong\triangle LPN\) by \(AAS\)
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for each of the following quadrilaterals, select all the properties tha…
- Two pairs of parallel sides: (a) Rectangle, (b) Parallelogram, (c) Rhombus - Only one pair of parallel sides: None of (a), (b), (c) - Four right angles: (a) Rectangle - All side…
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3. which algebraic representation indicates the transformation of (\tri…
\((x,y)\Rightarrow(x - 5,-y-2)\)
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2. which pair of triangles are congruent based on the given information?
The pair of triangles \(\triangle MAT\) and \(\triangle MHT\) (the third option) are congruent.
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1. what is the perimeter of the quadrilateral that is graphed below? ro…
\(14\)
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angle bisectors perpendicular bisectors altitudes medians
angle bisectors
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what is the y - intercept of the graph at the right
\( 0 \)
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a side of the triangle below has been extended to form an exterior angl…
\(x = 18\)
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the measures of the angles of a triangle are shown in the figure below.…
\(x = 13\)
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2. $mangle2 = x + 77$
$x = - 12$
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a slider crank mechanism is shown in the figure. find the distance betw…
\(18.6\)
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1. a bike crank mechanism is shown in the figure. find the distance bet…
\(7.3\)
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given the triangles below with sides and angles as marked. select the p…
Angle Angle Side Congruence Theorem
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the measures of the angles of a triangle are shown in the figure below.…
\(62\)
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given the triangles below with sides and angles as marked. select the p…
Side Side Side Congruence Postulate
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given the figure of triangles below with sides and angles as marked. se…
\(\overline{YZ}\cong\overline{MN}\)
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if pqrs is translated along $(x,y)\to(x + 3,y - 2)$, reflected in the x…
\(P''''(0,-1)\) \(Q''''(-1,1)\) \(R''''(1,3)\) \(S''''(3,1)\)
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given the figure of triangles below with sides and angles as marked. se…
\(\overline{DE}\cong\overline{DT}\)
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given the triangles below with sides and angles as marked. select the p…
Side Side Side Congruence Postulate
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angles formed by parallel lines if two parallel lines are cut by a tran…
1. \(T.45^{\circ}\) 2. \(L.62^{\circ}\) 3. \(Y.130^{\circ}\) 4. \(M.110^{\circ}\) 5. \(F.70^{\circ}\) 6. \(A.60^{\circ}\) 7. \(E.105^{\circ}\) 8. \(K.75^{\circ}\) 9. \(D.65^{\circ…
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graph the solution to the inequality on the number line. $|y + 2|\\geq2$
The solution is \(y\leq - 4\) or \(y\geq0\). On the number - line, we have a closed circle at \(-4\) with shading to the left and a closed circle at \(0\) with shading to the righ…
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batman is trying a new design signal for his sidekick, robin. the follo…
Angle Angle Side Congruence Theorem
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find the perimeter of the triangle to the right the perimeter is (type …
\(74.8\)
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given (\frac{ad}{dc}=\frac{be}{ec}) prove (overline{ab}paralleloverline…
8. SAS (Side - Angle - Side) similarity criterion; 9. Corresponding angles of similar triangles are congruent
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given the shaded gray triangles below with sides and angles as marked. …
Side Angle Side Congruence Postulate
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graph the solution to the inequality on the number line. $|x - 3| \\leq…
The solution of the inequality \(|x - 3|\leq3\) is \(0\leq x\leq6\). On the number - line, we mark closed circles at \(0\) and \(6\) and draw a solid line segment between them.
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22. all the values in the equation are exact. what value of c makes the…
H. \(-5\) ### Problem 23
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21. a right triangle is shown in the figure. what is the value of \\( \…
A. \(\frac{5}{13}\)
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given the congruent triangles below with sides and angles as marked, co…
∠FHG
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given the triangles below with sides and angles as marked select the po…
Angle Angle Side Congruence Theorem
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use the given information to prove that ∠srt ≅ ∠urt. given: ( overline{…
\(\angle SRT\cong\angle URT\) is proved as above.
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given the triangles below with sides and angles as marked. select the p…
Side Angle Side Congruence Postulate
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given the figure of triangles below with sides and angles as marked. se…
\(\overline{XY}\cong\overline{LM}\)
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24. how did the actions of big companies such as the english and dutch …
24. capitalism 25. common items such as cotton cloth and sugar
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given the figure of triangles below with sides and angles as marked. se…
\(\angle TCD\cong\angle ECD\)
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unit 6 quiz 1 problem 1: 1. story: lin bought 4 bags of apples. each ba…
- Problem 1: C - Problem 2a: \(4x + 23=17\) - Problem 2b: \(x=-1.5\) - Problem 3: \(x = 20\) - Problem 4: \(x=3.5\)
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given the triangles below with sides and angles as marked. select the p…
Hypotenuse Leg Congruence Theorem
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23. which statements accurately describe the beliefs of a country that …
1. yes 2. yes 3. no
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given the triangles below with sides and angles as marked. select the p…
Side Side Side Congruence Postulate
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given the figure of triangles below with sides and angles as marked. se…
\(\overline{RS}\cong\overline{DQ}\)
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directions: given the side lengths, determine whether the triangle is a…
11. Acute 12. Not a Δ 13. Right 14. Not a Δ 15. Obtuse 16. Acute
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what is ac? use both the distance formula and the law of sines. how do …
\(AC\approx5.31\)