Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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select the correct button in the table to show whether each image is th…
1. \(W(4,9)\to W'(4, - 2)\): Vertical Translation 2. \(X(-3,5)\to X'(-1,5)\): Horizontal Translation 3. \(Y(6,-1)\to Y'(6,0)\): Vertical Translation
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what does this transformation say to do? (x, y)----->(x, y + 4)
The transformation says to shift each point 4 units up.
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line v has a slope of $\frac{2}{9}$. line w is parallel to line v. what…
$\frac{2}{9}$
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key concept two quantities x and y have a proportional relationship if …
4. \(x\) and \(y\) do not have a proportional relationship because \(\frac{y}{x}\) is not the same for all pairs (\(\frac{5}{2}=2.5,\frac{7.5}{3}=2.5,\frac{12.5}{5}=2.5,\frac{18}{…
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8. the triangle above is a select which angle is the angle that is not …
The triangle above is a isosceles triangle. Which angle is the angle that is not the same as the others (vertex angle)? $\angle Y$ Which two angles would be the same (base angles)…
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what is the image of (-9, 3) after it is translated 4 units down and 3 …
$(-6,-1)$
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the vertices of △abc are located at a(2,6), b(3, - 1), and c(-2,5). the…
You can translate each vertex of \(\triangle ABC\) 1 unit to the right and 5 units down to create \(\triangle XYZ\).
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find the measure of the indicated angle (?) round to the nearest tenth
$41.1^{\circ}$
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line r has a slope of $\frac{-8}{3}$. line s is parallel to line r. wha…
$\frac{-8}{3}$
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cos 24 = x / 12 tan 24 = x / 12 sin 24 = x / 12 which is the correct se…
$\tan24 = x/12$
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if you are given the two sides that are not the hypotenuse, which trig …
tangent
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cos 72 = 6/x tan 72 = 6/x sin 72 = 6/x which is the correct set up to s…
$\cos72 = 6/x$
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the vertices of △jkl are located at j(-1,6), k(0,0), and l(2,-5). the t…
$J'(-5,6)$ $K'(-4,0)$ $L'(-2,-5)$
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which is the correct set up to solve for x? cos 72 = 6/x tan 72 = 6/x s…
None of the given options are correct in the standard form of the tangent ratio setup for this right - triangle. But if we consider the form of the equations in terms of the tange…
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find the measurement of the missing side indicated
3.21
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the vertices of △pqr are p (-4,1), q (-3,-2), and r (0,4). triangle pqr…
P'(-4, -4) Q'(-3, -7) R'(0, -1)
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which one is the easy way to remember trigonometric ratios? soh ceh toa…
D. Soh Cah Toa
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find the measure of the angle. round to the nearest tenth.
\(36.9\)
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opp/adj opp/hyp adj/hyp adj/opp give the ratio for tan x
\(\frac{Opp}{Adj}\)
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which is the correct set up to solve for x? cos 55 = x / 29, cos 29 = x…
$\cos55=\frac{x}{29}$
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name andrea a date 10/3/25 period 2 if c || d, then identify the angles…
The name of the angle pairs is corresponding angles. \(w\) equals \(19\).
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7. solve for x and find each angle. hint= how many degrees does a trian…
$x = 27$ degrees $m\angle A=64$ degrees $m\angle T=49$ degrees $m\angle C=67$ degrees
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sine cosine tangent which trig function do you use?
Cosine
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9. select all the terms that apply to the following shape. polygon conv…
A. Polygon B. Convex C. Regular
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what is the slope of this line? simplify your answer and write it as a …
$-1$
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20/51 solve for the missing angle 50.2 12.6 93.1 42.2
42.2
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susan is flying a kite, which gets caught in the top of a tree. use the…
87 ft
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what is the slope of this line? simplify your answer and write it as a …
$-\frac{1}{4}$
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find x round to the nearest tenth.
$46.1$
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name andrea a date 10/3/25 period 2 given $overleftrightarrow{rs}parall…
$x = 9$, $m\angle SRQ=72^{\circ}$, The theorem/postulate I used is the corresponding - angles postulate.
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what is the slope of this line? simplify your answer and write it as a …
$-\frac{3}{8}$
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3. make a conjecture given that m is the midpoint $overline{bc}$. bm = …
BM=MC
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22 question (4 points) suppose that the demand for a concert is represe…
Part 1: Price: $\$26.73$ Quantity: $1558.48$ Part 2: CS: $\$50791.97$ PS: $\$15763.73$
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choose the correct ratio. cos⁻¹(20/9) sin⁻¹(9/20) cos⁻¹(9/20) tan⁻¹(9/2…
C. $\cos^{-1}(9/20)$
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5. solve for the missing side. do the side lengths form a pythagorean t…
$x = 12$ mi Yes
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4. solve for $x$ and find the $m\\angle r$. the outlined content above …
$x = 8$ $m\angle R=82$
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solve for x
50.1
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find the distance between the pair of points. show all work. round your…
$7.1$
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find the unknown length y in the pair of similar triangles. y = ft (sim…
$5\frac{14}{17}$
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find the measure of the indicated angle (?) round to the nearest tenth.
$41^{\circ}$
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6. fred works as a machinist. a client has asked him to make several pi…
a. Fred should over - estimate. This is because in the manufacturing process, there may be material loss due to cutting errors, scrap, and other factors. b. (Counting the squares …
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10/3 do now find the distance between the pair of points. show all work…
$10.3$
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3.1 & 3.2 quiz: parallel lines, transversals, and special angle pairs u…
1. Plane ABC 2. AE 3. DC 4. BC 5. Corresponding angles; Transversal: relevant intersecting line 6. Alternate interior angles; Transversal: relevant intersecting line 7. Alternate …
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what angle is formed by ba and bg? a ∠abe b ∠gab c ∠abg d ∠ebg
C. $\angle ABG$
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a figure is located at (0, 0), (-3, -4), and (-3, 0) on a coordinate pl…
The 3 - D shape created is a cone with radius $r = 4$ and height $h = 3$.
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which two angles are supplementary? a ∠abe and ∠dbc b ∠abe and ∠ebd c ∠…
D. $\angle ABD$ and $\angle DBC$
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3. the interior angle sum of a polygon is 4140 °, how many sides does t…
25
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in the figure below, ∠bec and ∠ced are adjacent. if m∠bec = 56° and m∠b…
$67$
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solve for x.
$50.7$
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its childs play. a city uses a coordinate grid to map out the locations…
The area can be found by counting full squares and combining partial squares to get the total number of square feet.
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2. decide if the side lengths below would form a triangle or not. slide…
- 12, 4, 17: No, these sides do not form a triangle. - 9, 14, 6: Yes, these sides form a triangle. - 6, 11, 4: No, these sides do not form a triangle.
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tell which angles are congruent to the given angle measure. 1 m||n <2, …
1. Congruent angles to the given \(100^{\circ}\) angle are \(\angle2\), \(\angle5\), \(\angle6\) because of vertical - angle, alternate - interior, and corresponding - angle relat…
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1) find x round to the nearest tenth.
$15.9$
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11. a triangle has one side of 5 cm and another of 17 cm. what are the …
B. \(12 < x < 22\)
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find the measure of the angle indicated. 15) find m∠s. 16) find m∠h. 17…
15) \(m\angle S = 40^{\circ}\) 16) \(m\angle H = 38^{\circ}\) 17) \(m\angle FAB = 75^{\circ}\) 18) \(m\angle YDC = 140^{\circ}\)
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determine the value of x in decimal form. > enter the answer in the spa…
$7.5$
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name the longest and shortest side in each triangle. 27) a) $overline{l…
27) D. $MN, LM$ 28) B. $BC; AC$ and $AB$ 29) B. $JL, KL$ 30) A. $KJ, LK$
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5. patricia is planning to plant grass over an old rectangular garden p…
a. Draw a rectangle with length 25 feet and width 17.5 feet. b. 438 square feet c. 3 bags
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1) find x round to the nearest tenth.
$15.9$
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quadrilateral dcba is similar to quadrilateral abcd. determine the deci…
$2.5$
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give the ratio for sin x opp/adj adj/hyp adj/opp opp/hyp
D. Opp/hyp
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order the angles in each triangle from smallest to largest. 23) a) ∠f,∠…
23) C 24) C 25) A 26) D
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which trig function do you use? tangent sine cosine
Sine
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triangle pqr is dilated to produce similar △jkl. write a proportion you…
$\frac{x}{15}=\frac{5}{10}$, $\frac{4}{8}=\frac{x}{15}$
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select the sentence that uses pronouns correctly. the sewing class gets…
Monica, your suit jacket needs to be lengthened in the arms.
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the triangles in the pair are similar. △stu ~ △stu a. identify the cong…
a. $\angle S\cong\angle S'$, $\angle T\cong\angle T'$, $\angle U\cong\angle U'$ b. $\frac{ST}{S'T'}$, $\frac{TU}{T'U'}$, $\frac{SU}{S'U'}$ (assuming these are among the options no…
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choose the correct set - up to solve for x cos(37)=\frac{x}{14} sin(37)…
$\cos(37)=\frac{x}{14}$
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name the largest and smallest angle in each triangle. 19) a) ∠b,∠d b) ∠…
19) C 20) B 21) A 22) A
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6 ag is parallel to plane hkl. 7 gl and cd are parallel lines. 8 plane …
6. True 7. False 8. True 9. True 10. False
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17) find m∠yrs. 18) find m∠s. a) 30° b) 146° c) 145° d) 150° a) 73° b) …
17) C. $145^{\circ}$ 18) A. $73^{\circ}$
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find the measure of the angle indicated. 15) find m∠zqr. 16) find m∠h.
15) B. \(128^{\circ}\) 16) B. \(38^{\circ}\)
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choose the correct ratio. sin⁻¹(12/29) tan⁻¹(12/29) cos⁻¹(12/29) tan⁻¹(…
B. $\tan^{-1}(12/29)$
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4. john, a farmer, wants to paint his silo. the silo has a cylinder bas…
a. $2238.9$ $m^{2}$ b. $57$ cans
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solve for x. 11) a) 3 b) 9 c) 6 d) 15 13) a) 4 b) 12 c) 14 d) 6 12) a) …
11) A. 3 12) B. 5 13) D. 6 14) B. 8
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figure def has coordinates d(10,5), e(3,0), and f(20,8) and is dilated …
Scale Factor: $0.2$ Rule: $(x,y)\to(0.2x,0.2y)$ Center of Dilation: $(0,0)$
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which is the correct set up to solve for x? sin 24 = x / 12 cos 24 = x …
$\tan24 = x/12$
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at the right, assume that all lines and planes that appear to be parall…
1. Lines parallel to $\overleftrightarrow{CG}$: $\overleftrightarrow{BF}$, $\overleftrightarrow{AE}$, $\overleftrightarrow{DH}$ 2. Plane parallel to plane $DCGH$: plane $ABFE$ 3. …
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3. jack is building an all - glass gazebo. he will use glass on the roo…
520 square feet
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figure rst has coordinates r(10, 10), s(15, 6), and t(20, 10) and is di…
Scale Factor: $2.5$ Rule: $(x,y)\to(2.5x,2.5y)$ Center of Dilation: $(0,0)$
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write the rule (equation) for the line shown in the graph below.
$x = 1$
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nicholas is a teenager who has a violent, abusive family. which action …
bullying other kids at school
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8th grade assignment (6) 5th due: october 3 at 2:35 pm grade: 38% one s…
Inequality Notation: $x < - 8$ Number Line: An open - circle at - 8 and a line extending to the left.
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triangle efg is the image that resulted from a dilation of △abc. determ…
$\Delta ABC$ was dilated by a scale factor of $4$ using $(0,0)$ as the center of dilation. Rule: $(x,y)\to(4x,4y)$
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the hypotenuse of a right triangle measures 18 cm and one of its legs m…
$15.0$ cm
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one of the legs of a right triangle measures 5 cm and the other leg mea…
\(12.1\) cm
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one of the legs of a right triangle measures 12 cm and the other leg me…
15 cm
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which is the measure of ∠r? 45° 120° 60° 75° 135° 165°
75°
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one of the legs of a right triangle measures 16 cm and its hypotenuse m…
12 cm
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which is the measure of ∠acd? 40° 70° 70° 100° 110° 130°
C. \(110^{\circ}\)
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9) $mangle2 = 6x + 3$ 10) $mangle2=x + 49$
1. **For problem 9**: - **Explanation**: - **Step1: Recall the property of an isosceles - right triangle** - In the first right - triangle, since the two legs are congruent, the n…
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one of the legs of a right triangle measures 12 cm and the other leg me…
\(13.9\) cm
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5) a) obtuse scalene b) acute scalene c) right equilateral d) right sca…
D. right scalene
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which describes the relationship between the measure of the exterior an…
The sum of the measures of the two remote interior angles is equal to the measure of the exterior angle.
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to determine the distance between points d and l, start by dragging poi…
The horizontal distance $|x_2 - x_1|$ is 15 blocks, the vertical distance $|y_2 - y_1|$ is 19 blocks, and $(x_2 - x_1)^2$ is 225.
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6) a) acute scalene b) right scalene c) right isosceles d) obtuse equil…
C. right isosceles
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solve and graph the following inequality: 6 ≥ -3 - 8x
$x\geq-\frac{9}{8}$ To graph: On a number - line, put a closed circle at $-\frac{9}{8}=-1.125$ and shade to the right.
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find the length of the third side. if necessary, round to the nearest t…
$16.5$
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surface area formulas $sa_{cylinder}=2a_{circle}+a_{rectangle}$ $sa_{cy…
1. The surface - area of the sphere is approximately $78.5$ $cm^{2}$. 2. The diameter of the basketball is approximately $9.3$ inches.
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find the length of the third side. if necessary, round to the nearest t…
3
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find the length of the third side. if necessary, round to the nearest t…
10