Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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try it! use the isosceles triangle t 2. what is the value of x?
\(x = 23\)
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question 5 what is the volume of the sphere? (use π = 3.14) 56.52 cm³ 8…
\(6\)
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use the figure to the right to find the length of \\( \\overline { u w …
\(47\)
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use the figure to the right to find the length of \\( \\overline { t k …
\(22.7\)
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use the figure to the right to find the length of \\( \\overline{mb} \\…
\( 3 \)
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use the congruency statement to fill in the corresponding congruent par…
\( \angle E\cong\angle H\), \( \overline{FE}\cong\overline{GH}\), \( \angle EFI\cong\angle HGI\), \( \overline{FI}\cong\overline{GI}\), \( \angle FIE\cong\angle GIH\), \( \overlin…
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u is the midpoint of \\overline{qs}. complete the proof that \\triangle…
1. Given 2. Definition of perpendicular 3. Definition of perpendicular 4. All right angles are congruent 5. Definition of mid - point 6. Vertical angles are congruent 7. ASA (Angl…
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formula: $a = b \\times h$ find the area of each parallelogram. a. b. c…
a. \(24712.7\space m^{2}\) b. \(17944.515\space ft^{2}\) c. \(36959.71\space cm^{2}\) d. \(32609.71\space m^{2}\) e. \(73849.77\space cm^{2}\) f. \(48453.75\space in^{2}\) g. \(16…
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3. in the diagram below, ab and cd are parallel and m∠6=(3x + 3)° and m…
\(132^{\circ}\)
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the center of the circle below is point p. use the figure to select the…
Chord that is not a diameter: \(BE\) Diameter: \(AD\) Radius: \(PC\) (or \(PA\), \(PD\)) Central Angle: \(\angle CPD\) (or other angles with vertex at \(P\)) Inscribed Angle: \(\a…
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triangle congruence worksheet #1 for each pair of triangles, tell which…
1. SSS 2. SSS 3. SAS 4. SSS 5. AAS 6. SAS 7. SAS 8. SSS
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the formula for finding the area of a rhombus or kite is area = \\( \\f…
a. \(88\) in² b. \(76\) cm² c. \(130\) mm² d. \(10800\) ft²
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∠u ≅ ∠v and (overline{uv} perp overline{tw}). complete the proof that (…
For statement 4, the reason is "Reflexive property of congruence". For statement 5, the reason is "AAS (Angle - Angle - Side)".
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circumference & area of a circle circumference $c = 2\timespi\times r$ …
a. \(C = 81.64\) ft, \(A = 530.66\) \(ft^{2}\) b. \(C = 125.6\) m, \(A = 1256\) \(m^{2}\) c. \(C = 47.1\) in, \(A = 176.625\) \(in^{2}\) d. \(C = 194.68\) in, \(A = 3017.54\) \(in…
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complete the proof that ( \triangle hik cong \triangle hjk ).
3. All right angles are congruent; 4. Reflexive property of congruence; 5. ASA (Angle - Side - Angle) congruence criterion.
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what transformation was perfomed on \\( \\triangle tnz \\) to form \\( …
B. reflection over the \(y\) - axis
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oct 24 unit 3 quiz 1 transformations a. rotation around the origin 180°…
# Explicación breve: La transformación de rotación de \(180^{\circ}\) alrededor del origen cambia las coordenadas \((x,y)\) a \((-x,-y)\). Observando la figura, se puede ver que e…
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triangle a is rotated 270° counterclockwise with the origin as the cent…
# Explicación paso a paso: ## Paso 1: Comprender la rotación de 270° en sentido antihorario Una rotación de 270° en sentido antihorario es equivalente a una rotación de 90° en sen…
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use the figure below to find ( mangle abc ).
\(43^{\circ}\)
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gi bisects ∠hij and ∠hgj. complete the proof that △gij ≅ △gih.
ASA (Angle - Side - Angle) Congruence Criterion.
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if you were to rotate abcd 90° counterclockwise about the origin, what …
3. \((-5,3)\)
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oct 24 unit 3 quiz 1 transformations how many degrees was the figure ro…
A. 90 degrees counterclockwise
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dilate the figure by a scale factor of 3 with the origin as the center …
1. \(A'(9,9)\), \(B'(18,18)\), \(C'(27,9)\) (Opción 1)
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to find the area of a triangle, use the formula area = \\( \\frac { 1 }…
a. \(225.634\ m^{2}\) b. \(868.5\ cm^{2}\) c. \(588.06\ cm^{2}\) d. \(96.25\ mm^{2}\) e. \(7.875\ m^{2}\) f. \(492000\ m^{2}\) g. \(2561.22\ m^{2}\) h. \(1404.2\ cm^{2}\) i. \(0.4…
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oct 24 unit 3 quiz 1 transformations how was b translated to b if b is …
C. Translated 2 units to the right and 6 units down
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what would the new point be if you rotated the point (3,-5) 270° clockw…
B. \((-5,-3)\)
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what would the new point be if you rotated the point (4,9) 180° about t…
B. \((-4,-9)\)
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12. identify the line, segment, or as a radius, chord, diameter, secant…
- Line \(p\): secant - \(\overline{LN}\): radius - Line \(n\): tangent - \(\overline{KM}\): chord - \(\overline{KN}\): diameter
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oct 24 unit 3 quiz 1 transformations write a rule for the translation. …
d. \((x + 1,y-2)\)
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ft = 2 + x fd = 4x - 4 find fd
\( 12 \)
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proportional vs. non - proportional put your answers in alphabetical or…
11. b, c 12. a, b, e
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question 4/4 to graph the solution set ( xgeq24 ), would you draw an op…
B. Closed because 24 is part of the solution set
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determine how to translate triangle abc to triangle abc. (x + 2, y - 5)…
b. \((x + 2,y-9)\)
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determine where x would be if you translated x 3 units to the left and …
C. \((-4,-5)\)
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11. find \\( \\overgroup{df} \\) 160° 44°
\(72^{\circ}\)
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which notation describes this transformation? a. $(x,y)=(-x,y)$ b. $(x,…
B. \((x',y')=(x - 9,y + 2)\)
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10. find m∠str
\(23^{\circ}\)
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est. transformations and congruence a 3.2 3 n 2.2 2 b f e m h a. 3 unit…
D. 2.2 units
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the triangles in the diagram are congruent. if ( mangle f = 40^{circ}),…
B. \(60^{\circ}\)
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m∠b = m∠f bc = fg m∠a = m∠e fg = 3 m∠b = m∠e a. i only b. i and iii onl…
D. i or iv only
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the given information to prove that ∠5 ≅ ∠7. given: ∠6 ≅ ∠8 prove: ∠5 ≅…
For the table: - Row 2: Statement is $\angle8\cong\angle7$, Reason is "Vertical Angles Theorem". - Row 3: Reason is "Transitive Property of Congruence". And we have proved that $\…
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9. if ( moverparen{ad}=(19x - 49)^circ ) and ( moverparen{cd}=(5x + 37)…
\(58.25^{\circ}\)
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clockwise about point ( p ) to create triangle ( def ). determine the c…
The triangle with vertices \(E - D - F\) (the third triangle among the three small triangles) is the correct orientation and location of \(\triangle DEF\) after a \(90^{\circ}\) c…
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in the figure below, ( mangle1 = 51^{circ} ). find ( mangle2 ).
\(39\)
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select the correct answer from each drop - down menu. consider △efg and…
Triangle \( HJI \) is **a rotation of** triangle \( EFG \). Since triangle \( EFG \) uses **a rigid transformation (rotation)** to map onto triangle \( HJI \), the triangles **are…
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ps = 28 feet 8. what is the arc length of \\( \\overgroup{st} \\) round…
\(13.43\) feet
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select whether each statement is always true, sometimes true, or never …
1. Always true 2. Never true 3. Sometimes true
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7. find the value of x. 13 39
\(x = 26\)
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find the value of x so that k || m. simplify your answer as much as pos…
\(x = 17\)
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what is the measure of the highlighted arc? \\overline{ac} is a diamete…
\(58\mathrm{deg}\)
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question 19 proving segment relationships use the given information to …
$QS = TU$ is proved as $\triangle QRS\cong\triangle URT$ (by SAS) and corresponding parts of congruent triangles are equal.
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a farmer needs to build a goat pen. the pen will be 4 meters wide and 1…
\(56\)
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select the correct answer from each drop - down menu complete the defin…
A rotation is a transformation where an object moves in a circular path around a fixed point. A translation is a transformation where an object moves a specific distance along a l…
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daves living room is 6 yards wide and 6 yards long. he wants to install…
\(180\)
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two parallel lines, p and q, are cut by the transversal f as shown. sup…
\(m\angle2 = 115^{\circ}\), \(m\angle3 = 65^{\circ}\)
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from each drop - down menu. the pair of triangles that are congruent by…
The pair of triangles that are congruent by the ASA criterion is triangle \(BAC\) and triangle \(UTS\). The pair of triangles that are congruent by the SAS criterion is triangle \…
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based on the segment lengths, which group of segments can form a triang…
B. 8, 7, 13
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consider a cylinder with a radius of 4 centimeters and a volume of 96π …
The height of the cylinder is \(6\) centimeters.
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how does the figure help verify the triangle inequality theorem? a. by …
C. by showing that a triangle cannot be formed when the sum of the lengths of two sides is less than the length of the third side
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based only on the facts in the diagram, which triangle criterion can yo…
A. SAS
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which statement why figure jkl mn is congruent to figure vwxyz? a. figu…
C. Figure \(JKLMN\) was reflected across the \(y -\)axis and translated 1 unit to the right.
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select the correct answer. a building has a triangular rooftop terrace …
A. \(\overline{AC}\)
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triangle abc is reflected across the y - axis and then dilated by a fac…
D. The reflection preserves the side lengths and angles of triangle \(ABC\). The dilation preserves angles but not side lengths.
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prove: ( de = fg ) 1 ( df = eg ) given 2 validate please select a rule
\(DE = FG\) is proved as shown above.
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use the given information to prove that $qs = tu$. given: $qr = ru$ $rs…
$QS = TU$ is proved as above.
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two parallel lines are cut by a transversal as shown below. suppose ( m…
\(m\angle6 = 59^{\circ}\) and \(m\angle8 = 59^{\circ}\)
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a bakery is 11 yards wide and 14 yards long. the baker wants to put a w…
The baker's shelf will cost \(\$1100\).
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consider a cone with a height of 6 centimeters and a volume of 32π cubi…
The radius of the cone is \(4\) \(cm\).
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each side of a square courtyard is 24 feet long. it costs $10.00 per fo…
\(960\)
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a rectangular lawn is 23 meters by 29 meters. the grass for the lawn co…
\(2668\)
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laura wants to repave her driveway. the driveway is 15 feet wide and 27…
\(810\)
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each side of a square classroom measures 29 feet. the teacher wants to …
\(232\)
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each side of a square office is 21 feet long. it will cost $5.00 per sq…
\(2205\)
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use the given information to prove that $qs = tu$. given: $qr = ru$ $rs…
$QS = TU$ is proved as above.
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a beach volleyball court is 9 meters wide and 17 meters long. the rope …
\(52\)
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given: qr = ru rs = tr prove: qs = tu step statement reason 1 qr = ru g…
\(QS = TU\)
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use the given information to prove that $qs = tu$. given: $qr = ru$ $rs…
$QS = TU$ is proved as corresponding parts of congruent triangles $\triangle QRS$ and $\triangle URT$ (by SAS congruence).
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a rectangular portrait is 1 meter wide and 1 meter high. it costs $11.0…
\(44\)
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debbies math certificate is 14 centimeters tall and 28 centimeters wide…
\(84\)
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6. which of the following is a fully inscribed angle? ∠usr ∠pvu ∠tsr ∠q…
\(\angle QUS\)
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kylies backyard deck cost $85.00 per square meter to build. the deck is…
\(8160\)
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a photograph is 5 inches by 9 inches. a frame shop charges $3.00 per in…
84
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nicholass pool table is 3 feet wide and 7 feet long. nicholas wants to …
\(105\)
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you can transform \\( \\triangle x y z \\) to \\( \\triangle x^{prime} …
Translation: \((x,y)\to(x - 8,y - 4)\) Scale factor: \(5\)
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prestons dining room is 4 meters wide and 6 meters long. preston wants …
\(80\)
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question 19 proving segment relationships - extra practice use the give…
Since \(QS = QR + RS\), \(TU=TR + RU\), \(QR = RU\), and \(RS = TR\), then \(QS = TU\) by substitution and Commutative Property of Addition.
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5. if ( bd = 18 mathrm { cm } ), find the area of the shaded region in …
\(192.168\) \(cm^{2}\)
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if ( bd = 18 mathrm{cm} ), find the area of the shaded region in the ci…
\(180.864\) \(cm^{2}\)
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determine if the two triangles are necessarily congruent. if so, fill i…
The triangles are necessarily congruent.
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4. what is the m∠lnm?
\(54^{\circ}\)
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3. find the circumference. round to the nearest hundredth. 25 m
\(78.54\) m
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5. the area of the triangle is 70 cm². solve for x and b. 6. let \\( \\…
\(x\approx21.65\), \(b\approx21.65\) For problem 6:
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use the given information to prove that ( bc = de ). given: ( bd = ce )…
\(BC = DE\) is proved.
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2. find the perimeter of \\( \\triangle pqr \\).
\(45.5\)
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if ( us = 54 ), ( st = 82 ), and ( vw = 45 ), find the length of ( over…
\(68.3\)
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question solve for x. round your answer to the nearest tenth if necessa…
\(x\approx33.5\)
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1. what is the measure of \\( \\overline{yz} \\)? is \\( \\overline{xw}…
Yes
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∠1 and ∠2 are supplementary angles. if m∠1 = (3x - 2)° and m∠2 = (x - 1…
\(32^{\circ}\)
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#17) classify a triangle that has side lengths of 6m, 9m, and 14m #18) …
Scalene Obtuse - Red
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if ( no = 41), ( op = 55), ( np = 42), ( rs = 33), and ( qs = 25.2), fi…
\(108.4\)