Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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1. george is a fast worker. he can mop 50 ft² in 1 minute. the court is…
95 minutes
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a ray starts at point a and goes through point b. using point a as the …
\(4\) units
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8. identify the alternate interior, consecutive interior, and correspon…
Left - hand square: \(A\), Right - hand square: \(B\), Bottom - hand square: \(C\)
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7. complete the proof. given: \\( \\angle a d b \\) and \\( \\angle b d…
2. B. supplementary 3. B. Definition of supplementary angles 9. B. Definition of right angles
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find the perimeter and area of the polygon shown below. 15 ft 20 ft 8 f…
\(P = 80\) feet, \(A = 360\) square feet. So the answer is \(P = 80\) feet, \(A = 360\) square feet.
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triangles fim and lak below are similar, with ( mangle f=mangle l ) and…
\(8\)
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6. $m\\angle aeb = 37^{\\circ}$, what is $m\\angle ced$? $m\\angle ced …
\(53\)
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which of the following pairs show(s) two congruent triangles? a and c o…
B and C only
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complete the statements to prove that ( overline{ab} cong overline{cd} …
Congruent angles have equal measures.
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the movement of the progress bar may be uneven because questions can be…
isosceles acute
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for which conditions does the statement have a truth value of false? if…
The measure of angle \(ABC\) is \(95^{\circ}\) and triangle \(ABC\) is not an obtuse triangle.
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a ray starts at point a and goes through point b. using point a as the …
2
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quadrilateral abcd is a parallelogram. complete the statements to prove…
The reason for \(\angle CAB\cong\angle ACD\) and \(\angle BCA\cong\angle CAD\) is the Alternate Interior Angles Theorem. The reason for \(\triangle ABC\cong\triangle CDA\) is the …
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which reason is missing from the proof? 1. q is the midpoint of (overli…
D. Transitive Property of Congruence
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statements reasons 1. r || s given 2. $m_{r}=\\frac{d - b}{c - 0}=\\fra…
D. application of the slope formula
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transversal • a line that intersects two or more lines. • example: angl…
Example 3: a. Alternate Exterior Angles b. None c. Vertical angles d. None e. Vertical angles f. Alternate Interior Angles Example 4: a. Corresponding Angles b. Alternate Interior…
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select the correct answer from the drop - down menu. why is the ruler p…
a distance
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4. travel the town of baker is located between the towns of apple valle…
27
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figure cdef is dilated to form its image, figure cdef. when the center …
A. point \(A\)
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find parametric equations that define the curve with a counter - clockw…
\(x = 2\cos t\), \(y = 5\sin t\)
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3. determine if each statement is sometimes, always, or never true. two…
1. B. always 2. A. sometimes
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this is a side view of a sluice gate used for letting water into the hy…
1. D. \(40\) ft 2. D. \(400\) ft³ 3. B. \(42\) cubic units
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elaina is making a quilt following the pattern shown below. if all the …
\(x = 40\)
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question: 7 a slice of a circular theater is being measured for sound s…
A. 9 ### Question 8
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triangle def is dilated with respect to the origin by a scale factor of…
A. \(\sqrt{5}\) units
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2. given: b is the midpoint of \\( \\overline{ac} \\). prove: \\( ac = …
1. B is the midpoint of segment AC. (Given) 2. \(AB = BC\) (Definition of midpoint) 3. \(AB + BC=AC\) (Segment Addition Postulate) 4. \(AB + AB = AC\) (Substitution) 5. \(2AB = AC…
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question: 5 this equation describes a circle. find the center and radiu…
C. Center \((-2,4)\) Radius \(=5\) ### Question 6
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select the correct answer. a triangle has one side of length 29 units a…
C. \(11\lt x\lt69\)
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question: 2 a lemon tart has a circular top with a radius of 5 inches. …
D. \(A = \frac{27}{360}(25\pi)\)
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select the correct answer from each drop - down menu. a quadrilateral h…
rhombus with nonperpendicular adjacent sides
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question: 1 which equation describes a circle with center $(4,-7)$ and …
Question 1: B. \((x - 4)^2+(y + 7)^2=81\) Question 2: D. \(A=\frac{27}{360}(25\pi)\)
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select the correct answer from each drop - down menu. a quadrilateral h…
parallelogram with non - perpendicular and non - congruent adjacent sides
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(a) the arrows below show that the coordinates on the left are mapped t…
a) \(X'(-1,-8)\), \(Y'(-7,-6)\), \(Z'(3,-2)\) b) \((x,y)\to(-y,x)\)
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this equation describes a circle. find the center and radius of the cir…
C. Center \((-2,4)\) Radius \(=5\)
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can the hl congruence property be used? (a) 16 km 16 km 34 km 34 km (b)…
a. Yes b. No c. No d. Yes
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triangles determining when to apply the hl congruence for each pair of …
(a) No, (b) Yes, (c) No, (d) Yes
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this is a side view of a sluice gate used for letting water in hydroele…
1. D. \(40\) ft 2. (Assuming height \(h = 20\) ft for the sluice - gate volume, but if it's a mis - labeled problem, for the third problem) B. \(42\) cubic units
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name the marked angle in 2 different ways.
\(\angle NOQ\), \(\angle QON\)
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10. \\( \\triangle xzw \\sim \\triangle xyv \\), find the perimeter of …
The perimeter of \(\triangle XZW\) is \(176.4\)
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which of these statements applies to dividing a whole number by a fract…
- The divisor tells the amount in each group, and the dividend tells the total amount. - When using fraction bars, circle groups of the divisor.
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sp# 9 9. if △gfe ~ △ghj, find the value of x. 3p# 12~ 10. △xzw ~ △xyv, …
\(x = 4\)
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name the marked angle in 2 different ways. answer attempt 1 out of 2 su…
\(\angle W\), \(\angle VWU\)
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describe the possible lengths of the third side of the triangle given t…
\(0\) m \(<x<50\) m
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necessary, you may learn what the markings on a figure indicate. (a) (b…
(a) Yes (b) Yes (c) No (d) No
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sp# 12 8. if \\( \\triangle sde \\sim \\triangle swt \\), find wt. sp# …
\(x = 12\)
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sp# 9 9. if △gfe ~ △ghj, find the value of x.
\(x = 4\)
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name the marked angle in 2 different ways.
The marked angle can be named as \( \angle B \) and \( \angle EBD \)
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describe the possible lengths of the third side of the triangle given t…
\(6\) ft \(<x<30\) ft
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7. if △gfe ~ △cbe, find fe.
\(35\)
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describe the possible lengths of the third side of the triangle given t…
\(7\) in. \(<x<17\) in.
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sp#10 6. if \\( \\triangle pqr\\sim\\triangle utv \\), find the value o…
\(x = 15\)
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two figures are dilations of each other if they are similar. similar fi…
Each side of figure \(J'\) is \(2\) times as long as the corresponding side of figure \(J\). The scale factor is \(2\).
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5. if \\( \\triangle a b c \\sim \\triangle a v w \\), find the values …
\(x = 5.5\), \(y = 19.2\)
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given: ox ⊥ qm. m∠kod = 40°. enter the measures and reasons to justify …
\(m\angle COQ = 50^{\circ}\)
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enter the given angle measure into the diagram. given: • \\( \\angle m …
\(125\)
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p≠454. if △pqr ~ △vst with a scale factor of 2:5, find the value of x.
\(12\)
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21 reflect over the x - axis. click to select polygon abc
Plot the points \(A'(1,-3)\), \(B'(2,-2)\) and \(C'(5,-2)\) and connect them to get the polygon \(A'B'C'\) which is the reflection of polygon \(ABC\) over the \(x -\)axis.
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6 multiple answer 1 point in triangle abc, angle a is 15°, and angle b …
Triangle GHI, Triangle PQR
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3. if the figures below are similar, find the scale factor of figure b …
The scale factor of Figure B to Figure A is \(\frac{1}{3}\)
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the measure of \\( \\angle xed \\) can be calculated. \\( m \\angle xed…
\(60\)
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he segments $\\overline{vw}$ and $\\overline{vx}$ are tangent to the ci…
\(15.3\)
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estimate the measure of \\( \\angle nop \\) to the nearest \\( 10 ^ { \…
\(40^{\circ}\)
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low, the segments $overline{rs}$ and $overline{rt}$ are tangent to the …
\(3.2\)
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now, the segments ( overline{kl} ) and ( overline{km} ) are tangent to …
\(17.4\)
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rp # 9 2. the ratio of the measures of the sides of a triangle is 9:7:3…
The length of the shortest side is \(42\) inches.
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1 choose the transformation that has occurred between each pair of cong…
First pair: Rotation; Second pair: Translation; Third pair: Reflection.
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22 which term is defined as two intersecting lines that form four right…
D. perpendicular lines
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22 reflect the point (5,6) over the y - axis. a (5,6) b (-5,6) c (-5,-6…
B. \((-5,6)\)
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gent to the circle centered at o. given that ol = 12 and km = 12.6, fin…
\(13.5\)
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find the measure of the missing angles. answer attempt 1 out of 2 x = □…
\(x = 30^{\circ}\), \(y = 60^{\circ}\)
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19 which statement most accurately defines a ray? a all points of a lin…
B. all points of a line that are on one side of a fixed point including the fixed point
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answer choices: see all 6 choices drag the answer choices to the correc…
Always True: - A. dilation with scale factor greater than 1 creates an enlargement - A dilation with a scale factor of 1 produces a congruent image - A dilation preserves angle me…
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triangle congruence mixed practice - test review directions: label the …
Yes, the triangles are congruent because of the SSS postulate.
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18 points a and b are on a line. what is the best definition of line se…
C. Points A and B, and all points on the line in between them
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circle centered at o. given that wy = 14.4 and ow = 19.4, find ox. ox =
\(18.0\)
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which solid has a face shaped like a triangle? pyramid cone cube cylind…
pyramid
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find the measure of the missing angle.
\(48^{\circ}\)
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which type of triangle is this? isosceles triangle equilateral triangle…
scalene triangle
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ent to the circle centered at o. given that $oq = 9.9$ and $op = 16.5$,…
\(13.2\)
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this figure consists of three squares and one rectangle. what is the ar…
62 square inches
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rpd# 7 1. the ratio of the measures of the three angles in a triangle i…
The measures of the angles are \(84^{\circ}\), \(30^{\circ}\), and \(66^{\circ}\).
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this figure consists of three squares. what is the area of the complete…
147 square feet
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ent to the circle centered at o. given that jl = 8.4 and oj = 11.6, fin…
\(OK = 8\)
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an object goes through a variety of transformations, starting at positi…
Translation, Reflection, Rotation
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what is the value of p? 17b - 29° p 10b 34° p =
\(90\)
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find the measure of the missing angles.
\( b = 100^{\circ} \), \( c = 80^{\circ} \)
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15 the following figure represents the rotation of \\( \\triangle t u v…
\(180\)
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find the measure of the missing angle.
\(36^{\circ}\)
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14 which of the following is true for a rigid motion? a the preimage is…
B. The preimage and the image have the same measurements.
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analyze this conic section to answer the questions below \\( \\frac{(x …
B. The asymptotes for this conic section are \(y=\pm\frac{3}{2}(x - 5)\)
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drag each shape to the correct bucket to tell what type of symmetry, if…
- Square: Both Line and Rotational Symmetry - Regular Hexagon: Both Line and Rotational Symmetry - Isosceles Trapezoid: Line Symmetry - Scalene Triangle: No Symmetry
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analyze this conic section to answer the questions below.\ \ \\( \\frac…
For the first question: C. The transverse axis for this conic section is along the \(x\) - axis. For the second question: B. The asymptotes for this conic section are \(y=\pm\frac…
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analyze this conic section to answer the questions below.\\( \\frac{(x …
For the foci question: B. The foci for this conic section are at \((5-\sqrt{13},0)\) and \((5+\sqrt{13},0)\) For the true - statement question: C. The transverse axis for this con…
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12 rectangle ( a ^ { prime } b ^ { prime } c ^ { prime } d ^ { prime } …
B. \(90^{\circ}\) counter clockwise about the origin
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analyze this conic section to answer the questions below \\( \\frac{(x …
B. The foci for this conic section are at \((5-\sqrt{13},0)\) and \((5+\sqrt{13},0)\)
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11 quadrilateral abcd is translated to form quadrilateral ( abcd ). how…
B. \((x + 7,y - 2)\)
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analyze this conic section to answer the questions below. \\frac{(x - 5…
\(c=\sqrt{13}\)
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submitting an external tool available until nov 17 at 11:59pm answer at…
\(14\)
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kuta software - infinite geometry inverse trigonometric ratios find eac…
1. \(29^{\circ}\) 2. \(31^{\circ}\) 3. \(42^{\circ}\) 4. \(52^{\circ}\) 5. \(54^{\circ}\) 6. \(87^{\circ}\) 7. \(65^{\circ}\) 8. \(28^{\circ}\) 9. \(35^{\circ}\) 10. \(23^{\circ}\…
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10 translate abc using the coordinate rule (x,y) -> (x - 2, y + 4) clic…
\(A'(-7,5)\), \(B'(-2,5)\), \(C'(-5,8)\)