Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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10. in the ferris wheel, the measure of ∠efg is 11.25° and the measure …
a. Acute angle: \(\angle EFG\) (measure \(11.25^{\circ}\)); Right angle: (an angle formed by the seat structure); Obtuse angle: (an angle formed by non - adjacent long spokes); St…
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after performing the translation described below, what will be the coor…
$(-3,4)$
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use the diagram to solve for the angle measurement, given that ∠bae = 1…
8. $\angle BAC = 50^{\circ}$ 9. $\angle CAD = 45^{\circ}$ 10. $\angle DAE = 35^{\circ}$
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use the diagram to solve for the angle measurement, given that ∠bae = 5…
5. $\angle BAC = 24^{\circ}$ 6. $\angle CAD = 23^{\circ}$ 7. $\angle DAE = 12^{\circ}$
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why shouldn’t you tell a pigeon a secret? b write the letter of each an…
1. $\angle AFC$ 2. $\angle AFD$ 3. $\angle AFE$ 4. $\angle BFC$
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10. in the ferris wheel, the measure of ∠efg is 11.25° and the measure …
a. Acute angle: $\angle EFG$, Right angle: (assumed right - angle in the structure), Obtuse angle: (an angle formed by non - adjacent spokes), Straight angle: $\angle ABC$ b. 31 c…
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3. △rst maps to △rst. for x values: did they divide by 2 or 3 to make t…
The coordinate rule is: $(x,y)\to(\frac{x}{2},3y)$ The transformation is: A horizontal compression by a factor of $\frac{1}{2}$ and a vertical stretch by a factor of 3.
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your turn 1 draw the image of each figure under the given transformatio…
$K'(-1,1)$ $L'(2,-3)$ $M'(-1,-4)$
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your turn 1. use coordinate notation to write the rule that maps each p…
1. The coordinate rule is: \((x,y)\to(x + 5,y - 4)\) The transformation is: Translation 2. \(P'(-3,4)\) \(Q'(0,5)\) \(R'(-2,-1)\)
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what is the value of z?
$175.7$
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what is the value of k? 29.2° 74.2°
\(45\)
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what is the value of k?
\(73.6\)
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what is the value of p? 48.1° 74.8°
\(26.7\)
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a dartboard consists of a circle inscribed in a square. the area of the…
$78.5\%$
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use coordinate notation to write the rule that maps each pre - image to…
The coordinate rule is: $(x,y)\to(-x,-y)$ The transformation is: Rotation of $180^{\circ}$ about the origin.
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your turn categorize if the transformation is a rigid motion or nonrigi…
D. Rigid Motion E. Rigid Motion F. Rigid Motion
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performing transformations read figure 1 in your textbook (page 1.1) an…
Without seeing the specific details of D, E, and F transformations: If a transformation only changes position (like translation, rotation) without altering length, shape, or angle…
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1. $overrightarrow{qs}$ bisects $angle pqr$. what is $mangle pqr$? (hin…
$130^{\circ}$
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9. find m∠rsw if m∠rst = 150° and m∠wst = 98°. ∠rsw = ______
$52^{\circ}$
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7. using the figure below, ∠fdc = 46°. what is the measurement of b? b …
$44^{\circ}$
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8. find m∠cdj if m∠cde = 76° and m∠jde = 36°. ∠cdj = ______
\(40^{\circ}\)
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6. find m∠kla if m∠alm = 88° and m∠klm = 158°. ∠kla = ______
$70^{\circ}$
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24. ∠g and ∠h are complementary angles. if m∠g = 6x - 15 and m∠h = 3x +…
$39^{\circ}$
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a thread is being pulled off a spool at the rate of 57.8 cm per sec. fi…
$3.83$
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the pulley shown has a radius of 17.96 cm. suppose it takes 15 sec for …
(a) $4.3$ (b) $0.2$
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20. solve for x. (10x + 1)° (12x - 5)° 21. solve for x. (4x + 7)° (2x +…
\(x = 3\)
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the tires of a bicycle have radius 12.0 in. and are turning at the rate…
$14.6$
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14. if line y bisects ac, ab = 4 - 5x, and bc = 2x + 25, find ac.
38
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find the angular speed ω of the minute hand of a clock. the angular spe…
$\frac{\pi}{30}$
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there are three ways of describing an interval. for the interval descri…
The set notation is $\{x|x < - 8\}$, the interval notation is $(-\infty,-8)$. The correct graph is the one with an open - circle at $x = - 8$ and an arrow pointing to the left.
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find the equation of the line that contains the point (-2, -5) and is p…
$y = - 5$
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the right triangle on the right is a scaled copy of the right triangle …
$\frac{15}{8}$
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the triangle on the right is a scaled copy of the triangle on the left.…
$\frac{3}{2}$
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the triangle on the right is a scaled copy of the triangle on the left.…
$\frac{3}{2}$
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graph the line x = 2.
Draw a vertical line passing through the point $x = 2$ on the $x$-axis. All points on this line have an $x$-coordinate of 2 and can have any $y$-coordinate.
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graph the line x = - 4.
Draw a vertical line passing through the point $x = - 4$ on the $x$-axis. All points on this line have an $x$-coordinate of $-4$ and can have any $y$-coordinate.
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graph the line y = 1.
Draw a horizontal line passing through the point $(0,1)$ on the $y$-axis. The line has a $y$-coordinate of 1 for all values of $x$.
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the wilson familys back yard is a rectangular plot that has a length of…
4,400
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question #3 reference q.46918 a 3,4,5 triangle (a triangle with side le…
Yes, there are infinitely many Pythagorean triples. Some examples are \((8,15,17)\), \((7,24,25)\), \((20,21,29)\)
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in the graph on the right, a line segment through the center of the cir…
a. $(6,6)$ b. $\sqrt{41}$ c. $(x - 6)^2+(y - 6)^2=41$
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4. if ∠e≅∠k, m∠e = 124°, and m∠k = 4x + 8, then which of the following …
(4) 29
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solve the following inequality. graph the solution set and write it in …
The solution set in interval notation is \((-\infty,1)\). The correct graph is the one with an open - circle at \(x = 1\) and an arrow pointing to the left. Without seeing the exa…
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3. it is known that ∠efg and ∠gfh are a linear - angle pair. if m∠efg =…
(1) \(34^{\circ}\)
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solve the absolute - value inequality. graph the solution set. |1 - 2x|…
A. The solution set in interval notation is $(-2,3)$; C. (The graph of the solution set $(-2,3)$ on the number - line has an open circle at $-2$, an open circle at 3, and a line s…
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find the midpoint of the line segment joining the points p₁ and p₂. p₁=…
$(4,0)$
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3. it is known that ∠efg and ∠gfh are a linear - angle pair. if m∠efg =…
3. (1) \(34^{\circ}\) 4. (4) 29
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1. what of the following statements is not always true? (1) all vertica…
1. (c) 2. (3) 3. (1) 4. (There is an error in the options provided, the correct value of $x$ is 33) 5. (4)
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point d is the in - center of triangle bca. if m∠fhg = 61°, what is the…
\(122^{\circ}\)
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if m∠ihj is 72°, what is m∠ijh? 198°, 108°, 45°, 18° the vertices of tr…
\(18^{\circ}\)
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all linear angle pairs are also supplementary angle pairs. although all…
$m\angle1 = 150^{\circ}$, $m\angle4 = 150^{\circ}$ #### (b)
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if m∠ihj is 72°, what is m∠ijh? the vertices of triangle hij lie on cir…
\(72^{\circ}\)
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complete the proof that ∠efi ≅ ∠eif. 1. ∠fgh ≅ ∠ghi given 2. (overleftr…
Substitution
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∠stu≅∠rvs and ↔tu || ↔sv. complete the proof that ∠stu≅∠tuv. statement …
Corresponding Angles Theorem
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vx || fh and su || fh. complete the proof that ∠rtu ≅ ∠vwy. statement r…
Corresponding Angles Theorem
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complete the proof that m∠uty + m∠rwx = 180°. 1. vx || hj given 2. su |…
Substitution
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what is the first step in constructing a circumscribed circle around tr…
Construct the perpendicular bisector of segment XY.
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find the surface area of the prism using the net. what is the area of t…
Front and back triangles: $32$ $cm^2$ Side rectangles: $144$ $cm^2$ Bottom rectangle: $36$ $cm^2$ Surface Area: $212$ $cm^2$
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complete the square and write the given equation in standard form. then…
The equation of the circle in standard form is $(x + 2)^{2}+(y - 1)^{2}=36$. The center of the circle is $(-2,1)$. The radius of the circle is $r = 6$.
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a company is replacing cables with fiber optic lines in rectangular cas…
\(4.61\mathrm{cm}\)
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complete the proof that (overleftrightarrow{wy}paralleloverleftrightarr…
Converse of Corresponding Angles Theorem
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complete the proof that ∠svw≅∠tuw. statement reason 1 ∠utw≅∠s given 2 (…
Transitive Property of Congruence
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find the surface area of the prism using the net. what is the area of t…
Front and back rectangles: $48$ $cm^{2}$ Side rectangles: $12$ $cm^{2}$ Top and bottom rectangles: $8$ $cm^{2}$ Surface Area: $68$ $cm^{2}$
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complete the proof that ∠rqt ≅ ∠qrt. statement reason 1 ∠pst ≅ ∠spt giv…
Transitive Property of Congruence
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identify the 3d figure.
Rectangular Prism
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complete the proof that ∠rqt≅∠qrt. statement reason 1 ∠pst≅∠spt given 2…
Transitive Property of Congruence
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qs || tv. complete the proof that ∠prs ≅ ∠tuw. statement reason 1 qs ||…
3. Reason: Vertical Angles Theorem 4. Reason: Transitive Property of Congruence
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if m∠cfe=(2x + 6)° and m∠cde=(2x - 2)°, what is the value of x? quadril…
\(x = 44\)
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find the surface area of this cylinder. use 3.14 for π. do not round yo…
Both Circles: $56.52$ $cm^{2}$ Rectangle: $113.04$ $cm^{2}$ Total SA: $169.56$ $cm^{2}$
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complete the proof that m∠svu + m∠rsv = 180°. 1. uw || rt given 2. ∠svu…
Substitution
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complete the proof that $overleftrightarrow{su}paralleloverleftrightarr…
Corresponding Angles Converse
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this is a cross - sectional view of candy bar abc. a candy company want…
2.5 cm
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complete the proof that ∠twx≅∠stw. statement reason 1. su∥vx given 2. ∠…
2. Reason: Vertical angles are congruent. 3. Reason: Vertical angles are congruent.
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complete the proof that m∠wvx + m∠qst = 180°. statement reason 1. (over…
2. Corresponding Angles Postulate 3. Linear - Pair Postulate
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quadrilateral cdef is inscribed in circle a. if m∠c = 9x° and m∠e = 7x …
\(81^{\circ}\)
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aaron is constructing a circle circumscribed about a triangle. he has p…
Find the point of intersection of the two constructed perpendicular bisectors.
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find the measure of ∠fij. m∠fij = □°
$18$
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solve for x. 102° (10x - 2)° x =
\(10.4\)
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find the surface area of this cylinder. use 3.14 for π. do not round yo…
Both Circles: $25.12$ $cm^{2}$ Rectangle: $175.84$ $cm^{2}$ Total SA: $200.96$ $cm^{2}$
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solve for x. r (4x - 3)° v s t w u 123° x = submit
\(31.5\)
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solve for x. x = submit
$31.5$
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follow the steps to find the surface area of the cube. what is the area…
The area of one side is 16 cm². The total surface area (Total SA) is 96 cm².
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solve for x. (4x + 38)° 118° x = □ submit
$x = 20$
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solve for x. (5x - 30)° (3x)° work it out not feeling ready yet? these …
\(15\)
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find the measure of ∠psr. (131 - 2x)° (6x + 67)° m∠psr = □° submit work…
$115$
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follow the steps to find the surface area of the square prism. what is …
Top and bottom: $18$ $cm^2$ Front and back: $48$ $cm^2$ Sides: $48$ $cm^2$ Total SA: $114$ $cm^2$
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find the surface area of the prism using the net. what is the total sur…
$168\ cm^2$
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find the surface area of the prism using the net. what is the area of t…
$36$
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solve for x. work it out not feeling ready yet? these can help: transve…
$x = 5$
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find the surface area of the prism using the net. what is the area of t…
144
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find the surface area of the prism using the net. hint: area of a trian…
Front and back triangles: $32$ $cm^{2}$ Side rectangles: $144$ $cm^{2}$ Bottom rectangle: $36$ $cm^{2}$ Surface Area: $212$ $cm^{2}$
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find the surface area of the prism using the net. what is the area of t…
Front and back rectangles: $48$ $cm^{2}$ Side rectangles: $12$ $cm^{2}$ Top and bottom rectangles: $8$ $cm^{2}$ Surface Area: $68$ $cm^{2}$
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question #2 reference q.46912 \thinking cap!\: vectors and trigonometry…
Yes, vectors and trigonometry can be used to navigate in 3 dimensions and on the spherical surface of the world.
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find the surface area of the prism using the net. what is the area of t…
Front and back rectangles: 48 $cm^{2}$ Side rectangles: 12 $cm^{2}$ Top and bottom rectangles: 8 $cm^{2}$ Surface Area: 68 $cm^{2}$
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find the measure of ∠ost. m∠ost =
$105$
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solve for x. x = submit
3
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solve for x. (3x - 11)° (2x + 16)° x = submit work it out not feeling r…
$27$
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reasoning 7. if ∠tap and ∠bre are supplementary and ∠bre is its own com…
$135^{\circ}$
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solve for x. work it out not feeling ready yet? these can help: transve…
$16$
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find the measure of ∠rtn. (55 - 2x)° (63 - 6x)° m∠rtn = ° submit work i…
\(51\)
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solve for x. work it out not feeling ready yet? these can help: transve…
$9$