Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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13. choose the best answer. the set of points indicated by 12. is the _…
C. exterior (assuming the options are labeled as A. vertex, B. interior, C. exterior; if the original options have different labels, adjust accordingly, but based on the options g…
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solve for v and graph the solution. -18 ≤ 5v - 3 < 7 plot the endpoints…
The solution for \( v \) is \( -3 \leq v < 2 \). To graph this, we plot a closed circle at \( -3 \) (since the inequality is \( \leq \)) and an open circle at \( 2 \) (since the i…
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14. choose the best answer. use your protractor on the monitor to measu…
120° (Note: Since it's a measurement, the actual value may vary slightly, but 120° is the best option here.)
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find the area and perimeter of each square. 1) area = ________ perimete…
Area = \( 576 \) square feet, Perimeter = \( 96 \) feet ### 2)
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show or explain how you know. figures of quadrilaterals efgh (sides: ef…
The quadrilaterals are similar because corresponding angles are equal (\(85^\circ\) and \(95^\circ\) match) and corresponding sides are proportional (\(\frac{3}{2}=\frac{3.6}{2.4}…
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15. choose the best answer. since ∠ebf measures 90°, it is called what …
C. right angle
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1. choose the best answer. what type of angle is ∠abc if its measure is…
obtuse angle
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solve for c and graph the solution. c - 5 < -13 or (\frac{-5c + 2}{3} <…
The solution to the compound inequality is \( c < -8 \) or \( c > -2 \). To graph: - For \( c < -8 \): Draw an open circle at \( -8 \), shade left. - For \( c > -2 \): Draw an ope…
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17. choose the best answer. what type of angle is ∠dbc if it measures e…
B. straight angle
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18. choose the best answer. what type of angle is ∠abd if it measures g…
D. acute angle
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the picture below shows a right - triangle - shaped charging stand for …
\(3(\tan50^{\circ})\) (corresponding to the option "3(tan 50°)")
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what is the name of the pair of angles ∠abd and ∠cbf which are nonadjac…
B. vertical angles
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read the passage from \the seven voyages of sindbad the sailor.\ in the…
A. fatigue and curiosity (assuming the first option is "fatigue and curiosity", as per the options shown: the first circle's option is "fatigue and curiosity")
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10. what is the value of x in the figure below? 50° (2x + 8)°
21
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what is the name of the pair of angles ∠abd and ∠dbe that have a common…
adjacent angles
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the figure below shows a right triangle: image of right triangle with s…
\( \tan(y^\circ) \) (or \( \cot(x^\circ) \))
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what is the name of the pair of angles ∠dbe and ∠ebc whose noncommon si…
linear pair
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the sum of the measures of angles ∠dbe and ∠ebc is 180°, so they are al…
supplementary angles
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jim is designing a seesaw for a children’s park. the seesaw should make…
2 meters (corresponding to the option "2 meters")
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23. choose the best answer. the sum of the measures of angles ∠abd and …
B. complementary angles
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what is an equation of the line that passes through the points (8, 3) a…
$x = 8$
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2 the factors of 48 are: 1 and ____ 2 and ____ 4 and ____ 8 and ____ 16…
1 and 48; 2 and 24; 4 and 12; 8 and 6; 16 and 3 ### Question 3:
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emir is standing in a treehouse and looking down at a swingset in the y…
18 feet
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charlie is watching hot air balloons. balloon a has risen at a 56° angl…
661
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6) length = (\frac{4}{1}) ft ; width = (\frac{5}{7}) ft ; height = (\fr…
The volume is \( \frac{4}{7} \) cubic feet.
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1. choose true or false. the common endpoint of the rays of an angle is…
True ### Question 2
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developing the area formula for circles if \\(\\overline{be}\\) measure…
- For \(BE = 3.5\) cm: \(\approx38.47\) (or 38.465) square centimeters. - For \(AB = 11\) ft: \(\approx379.94\) square feet. - For \(EF = 12\) m: \(\approx113.04\) square meters.
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kayson is looking at two buildings, building a and building b, at an an…
Building B; it is around 33.29 feet taller than building A
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3. choose true or false. the set of points between the two sides of an …
False ### Question 4
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5) height = \\(\\frac{3}{5}\\) yd ; length = 1 yd ; width = \\(\\frac{4…
The volume is \(\frac{4}{5}\) cubic yards.
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the length of a rectangle is 5 yd longer than its width. if the perimet…
length: \( 16 \) yd width: \( 11 \) yd
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a helium - filled balloon is attached to a long string and is at a heig…
156 m
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5. choose the best answer. which angle is obtuse? diagram with points a…
\(\boldsymbol{\angle CBG}\) (the option with \(\angle CBG\))
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which angle is a right angle? ∠abg ∠dbg ∠cbg ∠abc
\(\boldsymbol{\angle DBG}\) (corresponding to the option with \(\angle DBG\) as the angle)
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if $\\sin y^\\circ = \\frac{s}{8}$ and $\\tan y^\\circ = \\frac{s}{t}$,…
\(\cos y^{\circ}=\frac{t}{8}\) (the option corresponding to \(\cos y^{\circ}=\frac{t}{8}\))
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which angle is a straight angle? diagram with points a, b, f, g, d, c, …
\(\boldsymbol{\angle ABG}\) (the option corresponding to \(\angle ABG\))
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8. choose true or false. two angles in which the sum of their measures …
True
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9. choose true or false. two angles that share a common vertex and one …
False ### Question 10
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11. choose true or false. a pair of adjacent angles whose noncommon sid…
False ### Question 12
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which equation is correct? ○ cos x° = adjacent ÷ hypotenuse ○ tan x° = …
\(\boldsymbol{\cos x^{\circ}=\text{adjacent}\div\text{hypotenuse}}\) (the first option)
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13. select 2 that apply. which two angles are adjacent? ____ and ____ □…
$\angle ABC$ and $\angle DBC$
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if $cos f^circ = \frac{4}{9}$ and the measure of $overline{xw}$ is 16 u…
The measure of \( \overline{XY} \) is 36 units.
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14. choose the best answer. which two angles form a linear pair of angl…
\(\angle EFG\) and \(\angle GFH\)
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a 32-foot ladder is leaning against a building and forms a 29.37° angle…
27.89 feet (corresponding to the option "27.89 feet")
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15. select 2 that apply. which two angles are supplementary? ____ and _…
\(\angle DBF\) and \(\angle DBC\) (or \(\angle EFG\) and \(\angle GFH\) - but based on the right angle at \(B\), the more probable pair is \(\angle DBF\) and \(\angle DBC\))
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if the sin 30° = \\(\\frac{1}{2}\\), then which statement is true? ○ co…
\(\boldsymbol{\text{cos } 60^\circ = \frac{1}{2}, \text{ because the angles are complements}}\) (the second option)
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unit 1 module 2 | session 2 name date factors & art supplies page 1 of …
For the rectangles: - Height 1: Length = 48 (since \( 1 \times 48 = 48 \)) - Height 2: Length = 24 (since \( 2 \times 24 = 48 \)) - Height 8: Length = 6 (since \( 8 \times 6 = 48 …
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a traffic sign indicating a no passing zone is shaped like an isosceles…
The sign (isosceles triangle) has line symmetry.
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the sail of a boat is in the shape of a right triangle. which expressio…
\(8(\tan 35^\circ)\) (corresponding to the second option, e.g., if options are labeled, it would be the option with \(8(\tan 35^\circ)\))
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use the image to answer the question. does the capital letter f have li…
neither
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beyond the red brick of ellis island where the two slovak children who …
B. this island, nine decades the answerer of dreams
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14) choose the best answer. which angle is a right angle? ○ ∠1 ○ ∠3 ○ ∠…
\(\boldsymbol{\angle 3}\) (or in the option format: B. \(\angle 3\) assuming the options are ordered as given with \(\angle 3\) as the second option)
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a local playground has a sandbox in the shape of a rectangle. does the …
both
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13) choose the best answer. diagram with angles labeled 30°, 90°, 60°, …
\(\boldsymbol{\angle 4}\) (or in the option format: B. \(\angle 4\) assuming the options are ordered as given with \(\angle 3\) first, \(\angle 4\) second, etc.)
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the point b lies on the segment (overline{ac}). find the coordinates of…
\((-20, 16)\)
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a chess board is shaped like a perfect square. select the image that sh…
The image with 2 horizontal/vertical (mid - side) and 2 diagonal (vertex - vertex) dashed lines (the one provided in the problem) shows all possible lines of symmetry for the squa…
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find the angle measure. then classify the angle. (see example 2.) 5. ( …
The measure of \( \angle COE \) is \( \boldsymbol{120^\circ} \), and it is an obtuse angle.
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12) choose the best answer. which angle is acute? ∠1 ∠6 ∠8 ∠3
\(\boldsymbol{\angle1}\) (Option: \(\boldsymbol{\angle1}\))
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sketch an angle θ in standard position such that θ has the least possib…
### Part 1: Choosing the Correct Graph #### Explanation: To determine the correct graph for the angle \(\theta\) with the terminal side passing through \((-7, 0)\): - A point \((x…
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11) select 2 that apply. which angles are vertical angles? ____ and ___…
\(\angle7\) and \(\angle9\) (So the selected options are \(\boldsymbol{\angle7}\) and \(\boldsymbol{\angle9}\))
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use the image to answer the question a ramp at a skate park is shaped l…
zero
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look at this shape: image of a purple l - shaped figure on a grid which…
B
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the point b lies on the segment \\( \\overline{ac} \\) and the coordina…
\((-14, 11)\)
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sketch an angle θ in standard position such that θ has the least possib…
### Part 1: Choosing the Correct Graph #### Explanation: An angle in standard position has its initial side on the positive x - axis. The terminal side passes through the point \(…
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inch-based rule 1. ______ 2. ______ 3. ______ 4. ______ 5. ______ 6. __…
$\frac{3}{4}$ inch If we take question 17 (bottom mark 17):
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in the figure below, x lies between w and y. find the location of x so …
\( 2 \)
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10) select 2 that apply. which angles are supplementary? ____ and ____ …
\(\angle2\) and \(\angle4\) (or other possible pair like \(\angle1\) and \(\angle4\) if my angle measure was wrong, but based on correct calculation, \(\angle2 = 30^\circ\), \(\an…
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in the figure below, k lies between j and l. find the location of k so …
-5
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9) select 2 that apply. diagram showing angles with labels: 30°, 90°, 6…
\(\angle 2\) and \(\angle 1\) (or \(\angle 1\) and \(\angle 2\))
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look at this shape: which image shows a rotation? a b c
C
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look at this shape: image of a grid with a blue l - shaped figure which…
A. Option A
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jada owns an indoor trampoline park. the scale drawing shows a new tram…
\(3\) ### Part 2: Actual length and width
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look at this shape: image of l - shaped figure on grid which image show…
C. The shape in option C has the same orientation and size as the original, representing a translation (movement without rotation/reflection), while A and B are rotated.
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look at this shape: image of a blue triangle on a grid which image show…
A. Option A
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8) select 2 that apply. diagram with angles labeled ∠7, ∠6, ∠3, ∠2, ∠1,…
\(\boldsymbol{\angle 6}\) and \(\boldsymbol{\angle 3}\) (or other valid pair from the options, but based on analysis, \(\angle 6\) and \(\angle 3\) is a possible linear pair. Anot…
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look at this shape: image of a blue trapezoid on a grid which image sho…
C. The image labeled C (where the shape has the same orientation, shape, and size as the original, just moved)
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here is a diagram with triangle efg and point c. dilate triangle efg us…
To dilate triangle \( EFG \) with center \( C \) and scale factor \( \frac{1}{2} \): 1. Draw lines from \( C \) through \( E \), \( F \), and \( G \). 2. On each line, mark a poin…
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look at this shape: image of a blue polygon on a grid which image shows…
A. The shape in option A shows a translation as it has the same orientation and shape as the original, just moved (slid) without rotation or reflection.
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look at this shape: image of a grid - based l - shaped figure which ima…
A. Option A
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sketch an angle θ in standard position such that θ has the least possib…
\(\frac{3}{4}\)
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use the given information to complete the table. use 3.14 for π. then v…
| Circumference | Radius | Diameter | \( \pi=\frac{\text{Circumference}}{\text{Diameter}} \) | | --- | --- | --- | --- | | \( 15.7 \) m | \( 2.5 \) m | \( 5 \) m | \( \pi=\frac{15…
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7) select 2 that apply. name two adjacent angles. ____ and ____ □ ∠7 □ …
∠1 and ∠5 (or ∠7 and ∠9, either pair is correct as they are adjacent)
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law of cosines diagram: triangle hnk with vertex n (90°), hn=12, nk=6, …
13
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sketch an angle θ in standard position such that θ has the least possib…
$\frac{5}{4}$
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6) drag and drop the words to the sentences. if two lines intersect, th…
First blank: vertex; Second blank: vertical angles
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law of cosines which equation correctly uses the law of cosines to solv…
\( p^2 = 6^2 + 8^2 - 2(6)(8)\cos(39^\circ) \) (the first equation)
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what number can you multiply each length in the scale drawing by to fin…
Actual length = 12 ft Actual width = 6 ft
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law of cosines the law of cosines is used to find the measure of ∠q 24²…
\(44^{\circ}\) (corresponding to the option "44°")
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here is rhombus abcd. complete the proof that in rhombus abcd the diago…
### Part a # Explanation: ## Step1: Recall rhombus properties A rhombus is defined as a quadrilateral with 4 congruent sides. So the correct property for a rhombus here is "4 cong…
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jazlyn owns an indoor trampoline park. the scale drawing shows a new tr…
\(3\)
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sketch an angle θ in standard position such that θ has the least possib…
\(\frac{4}{3}\)
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use the given information to complete the table. use 3.14 for π. then v…
| Circumference | Radius | Diameter | \( \pi=\frac{\text{Circumference}}{\text{Diameter}} \) | | --- | --- | --- | --- | | 31.4 mm | 5 mm | 10 mm | \( \pi=\frac{31.4}{10}=3.14 \) |
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definition: a midpoint is the point (x,y) that bisects (divides into tw…
Since the problem (presumably related to finding a midpoint, though specific coordinates are missing) would use the midpoint formula, here's a general step - by - step for a midpo…
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of cosines on which triangle can the law of cosines be applied once to …
To determine which triangle the Law of Cosines can be applied to once for an unknown angle, we recall the Law of Cosines formula: \( a^2 = b^2 + c^2 - 2bc \cos(A) \), which requir…
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11. how many unique triangles are there with angle measures 45°, 45°, a…
There are infinitely many unique triangles with angle measures \(45^{\circ}\), \(45^{\circ}\), and \(90^{\circ}\) because triangles with these angle measures are similar, and we c…
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use the given information to complete the table. use 3.14 for π. then v…
- Circumference: 75.36 in. - Radius: 12 in. - Diameter: 24 in. - \( \pi=\frac{75.36}{24} = 3.14 \)
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part 2 of 7 completed: 0 of 22 | my score: 0/22 pts (0%) sketch an angl…
\(\frac{4}{5}\)
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on which triangle can the law of cosines be used to find the length of …
The triangle with sides \( QS = 12 \), \( RS = 7 \), and \( \angle S = 57^\circ \) (top - left triangle).
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sketch an angle θ in standard position such that θ has the least possib…
(Graph): C
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for exercises 10-14, answer the questions. 10. how many unique triangle…
There are infinitely many unique (non - congruent) triangles with angle measures \(36^\circ\), \(64^\circ\), and \(80^\circ\) because the three angles satisfy the triangle angle -…