幾何
三角形、円、座標幾何、証明問題。
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show that 2·6 = 12 using each of the models in parts (a) through (d) be…
Click here to view grid b.
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which ratio is equivalent to the scale \\( \\frac{1 \\text{ cm}}{50 \\t…
1:50
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in the following diagram, points c, a, and b are collinear. use complet…
The sum of the lengths of segment \( CA \) and segment \( AB \) is equal to the length of segment \( CB \). Since points \( C \), \( A \), and \( B \) are collinear (they lie on t…
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what is the volume of the block? diagram of a rectangular prism with le…
The volume of the block is \( 144 \) cubic centimeters (or \( 144 \, \text{cm}^3 \)).
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points c, a, and b are collinear. which of the following options is ano…
\(\boldsymbol{\overrightarrow{CB}}\) (assuming the collinear points and ray naming convention)
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look at this shape: image of a green triangle on a grid which image sho…
B
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consider right triangle △def below. which expressions represent the len…
Possible expressions: \( 5\sin(40^\circ) \), \( 5\cos(50^\circ) \), \( 3.8\tan(40^\circ) \) (any of these, depending on context; e.g., \( 5\sin(40^\circ) \) is a common one).
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look at this shape: image of a purple polygon on a grid which image sho…
C
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identifying the rule for a composition of transformations. which rule d…
\( T_{0, 2} \circ R_{O, 270^\circ}(x, y) \)
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look at this shape: image of a green polygon on a grid which image show…
A. Option A
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according to the diagram, point b lies on how many faces of the pyramid…
three
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in the rectangular prism shown below, which lines are parallel? select …
\(\boldsymbol{\overleftrightarrow{PQ}}\) and \(\boldsymbol{\overleftrightarrow{OS}}\), \(\boldsymbol{\overleftrightarrow{TU}}\) and \(\boldsymbol{\overleftrightarrow{NO}}\), \(\bo…
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look at this shape: image of a triangle on a grid which image shows a t…
B
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the plane that contains points c and t can also be named plane. options…
BED
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determine which geometric transformation is illustrated in the diagram …
D. rotation
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how many labeled points are between points b and u? diagram of a geomet…
zero
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what is the volume of the block? diagram of a rectangular prism with le…
144 (assuming the units for volume, though the diagram had a unit mix-up with grams, the volume calculation gives 144 cubic units)
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in this diagram, how many points are coplanar with points a, b and r? o…
one
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how far from the skydiving center did stella land? round your final ans…
1.68
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rectangles abcd and efgh are similar. the length of each side of efgh i…
d. 4,116
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after bisecting an angle, maggie has two new angles, each with a measur…
\( 17.6^\circ \)
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at what angle, in degrees, should the agent shoot his laser gun? round …
\( 80.5 \)
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if an angle is bisected to form two new 50° angles, what was the measur…
\(100^\circ\)
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an angle is bisected, forming two new angles. each new angle has a meas…
\(32\)
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if an angle is bisected to form two new 92° angles, what was the measur…
\(184\)
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after bisecting an angle, erik has two new angles, each with a measure …
\(186^\circ\)
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galileo wanted to release a wooden ball and an iron ball from a height …
\(579.62\) meters
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use the diagram to answer the question. diagram of a right triangle wit…
A. $\sin\theta = \frac{9}{41}$
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is $overline{eg} cong overline{fh}$ (number line with points e at -4, f…
yes
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△ klm has vertices k(4, −5), l(2, 2), and m(7, 3). which translation mo…
A. \((x,y)\to(x - 4,y)\)
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galileo wanted to release a wooden ball and an iron ball from a height …
\(579.62\)
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1. enlightenment ideas helped spur the american colonies to create a ne…
life, liberty, property
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the purpose of ____ is to recount an event or series of events, to tell…
narration
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question: 3 six identical circles fit inside the rectangle as shown bel…
2.5 units
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if uv = 19 and vw = 14, what is uw? u v w 19 14 write your answer as a …
33
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on a line segment, i is between k and m. if ki = 5x, im = 16x - 20, and…
211
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question 1 8.g.a.1c what happens to a vertical line if you rotate it 90…
The image is a horizontal line.
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in △abc, ef || ab. what is the ratio of bc to fc?
\(\frac{7}{4}\) (assuming the options include this, if the options are like \( \frac{7}{4} \) among them)
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the sector shows the area of a lawn that will be watered by a sprinkler…
26.2 square feet
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finished early denary what is the volume of the block? answer: cu
144 (assuming the units are cubic units, e.g., cubic centimeters, cubic inches, etc., depending on the context)
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15. how much turf is needed to cover a rectangle field that measures 10…
a. \( 120\ \text{ft}^2 \)
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use the information in the diagram and the table below to find the leng…
240 ft
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what is the missing side length of this right triangle? type the answer…
12
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6. 5x, 10y - 40, 2y (diagram of intersecting lines) 8. 4y, x, 8y - 116 …
s: - Problem 6: \( y = 5 \), \( x = 2 \) (if needed) - Problem 8: \( y = 29 \), \( x = 64 \) (Note: The exact solution depends on the angle relationships, but based on the diagram…
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15. how much turf is needed to cover a rectangle field that measures 10…
# Explanation: ## Step1: Recall area formula for rectangle The area \( A \) of a rectangle is given by the formula \( A = \text{length} \times \text{width} \). ## Step2: Substitut…
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the triangles are congruent. graph: coordinate plane with x - axis from…
Rotate \( \triangle ABC \) \( 90^\circ \) Counterclockwise about point \( A \)
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what is the perimeter of the square below? image of a square with 10 ya…
D. 40 yards
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which picture shows intersecting lines that are not perpendicular?
D
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a rectangle is 11 inches long and 8 inches wide. find its area. a) 88 s…
A. 88 square inches
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11. find the surface area of a cylinder - shaped water reservoir. assum…
c. \( 816.4\ \text{in}^2 \)
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quadrilateral math has vertices m = (1,3), a = (-4,6), t = (-2,7), and …
C. \((-12, 18)\)
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in the xy-plane, lines k and j are perpendicular and intersect at the p…
d. 136.25
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a 50 foot ladder is set against the side of a house so that it reaches …
\(46.6\)
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10. find the unknown side of the triangle when x = 24 in and y = 7 in. …
b. 25 in
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23. choose the best answer. the sum of the measures of angles ∠abd and …
(Assuming the correct option is "complementary angles" if it was an option, but since the visible option is "vertical angles" which is incorrect, but based on the definition, the …
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which statement is the best definition of an angle? a. the distance bet…
C. the amount of turn between two rays with a common endpoint
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complete the square to rewrite the equation of the circle in standard f…
\((x + 2)^{2}+(y - 5)^{2}=9\)
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which figure is missing in the pattern?
B. The figure with 4 rows and 4 columns of squares (16 squares in total)
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22. choose the best answer. the sum of the measures of angles ∠dbe and …
(Assuming the options are: A. vertical angles, B. supplementary angles) B. supplementary angles
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what is the name of the pair of angles ∠dbe and ∠ebc whose noncommon si…
The pair of angles \(\angle DBE\) and \(\angle EBC\) is called a linear pair (or adjacent supplementary angles). The key characteristic is that they are supplementary (sum to \(18…
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the length of $overline{df}$ is 8. find the length of $overline{de}$. d…
3
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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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19. choose the best answer. what is the name of the pair of angles ∠abd…
Vertical angles
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d. read the email responding to the advertisement below and circle the …
- Subject: "I really, really want this job" (unprofessional, should be formal and job - related) - Salutation: "Hey David" (too informal, should be more professional like "Dear Da…
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angles a and b are complementary. what is the value of x? (x+22)° at an…
34
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find the measure of ∠lon.
\( 198^\circ \)
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1-85b. use the online etool from the last question to help you with thi…
To solve the problem of rotating quadrilateral \(ABCD\) \(90^\circ\) clockwise about the origin, we need the coordinates of the original vertices \(A\), \(B\), \(C\), and \(D\). S…
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angles a and b are supplementary. angle a has a measure of 80°. what is…
\(100\)
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triangle klm is similar to triangle pqr. image of two triangles: triang…
D. 120 ft
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given: ∠1 is complementary to ∠2. ∠2 is complementary to ∠3. prove: m∠1…
\(m\angle1 + m\angle2 = 90^\circ\) (the second option: \(m\angle1 + m\angle2 = 90^\circ\))
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1-85a. plot the following points on another sheet of graph paper and co…
Yes. The short sides are perpendicular to the long sides. I can tell they are perpendicular by their slopes. This means the shape has four sides and four right angles. It IS a rec…
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the figure shows three lines that intersect at point n. angle gnh is co…
$42^\circ$
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match each illustration with its mathematical vocabulary. vocabulary op…
- Primera ilustración: Reflection (Reflección) - Segunda ilustración: Rotation (Rotación) - Tercera ilustración: Translation (Traslación)
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what is the perimeter of a triangle with sides 15 inches, 15 inches and…
C. 51 inches
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angle acd is supplementary to angles ace and bcd and congruent to angle…
- Angle BCE is supplementary to angle ACE - Angle BCD is supplementary to angle BCE - Angle BCD is congruent to angle ACE (These correspond to the second, third, and fifth options…
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noah tried to prove that \\(\\cos(\\theta) = \\sin(\\theta)\\) using th…
Noah’s proof is incorrect because \(\cos(\theta)=\frac{\text{adjacent}}{\text{hypotenuse}}=\frac{AC}{BC}\) and \(\sin(\theta)=\frac{\text{opposite}}{\text{hypotenuse}}=\frac{AB}{B…
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3. what changes about a figure after a translation? what stays the same…
Changes: The position (location) of the figure. Stays the same: Shape, size (side lengths, angles, area), and orientation. ### Question 6
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rectangle qrst is shown. angle qrt is congruent to angle str, and angle…
They are complementary.
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a transversal intersects two parallel lines. the measures of a pair of …
10
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angles 1 and 2 form a right angle. which word describes their measures?…
complementary (the option corresponding to "complementary")
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find m∠adc if m∠adc = (-6n + 243)°. diagram: point d with rays da, db, …
\( 195^\circ \)
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right angle fcd intersects ab and ce at point c. ∠ fce is congruent to …
They are congruent and complementary.
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question 16 of 42 what shape is the cross - section of the cube when sl…
C. Square
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triangle abc is a right triangle. what is the relationship between angl…
They are complementary.
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points a, b, and c are on line ac. angle cbd has a measure of 140°. wha…
\( 40^\circ \) (corresponding to the option "40°")
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question 15 of 42 which of the following best describes triangle abc in…
B. Face
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b. read the sentences about formal email etiquette and circle the corre…
should ### 2.
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which expressions are equivalent to \\(\\tan(\\angle g)\\)?
$\boldsymbol{\frac{IH}{GI}}$ (assuming the right triangle has right angle at $I$, so opposite to $\angle G$ is $IH$, adjacent is $GI$)
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the set of points indicated by 12. is the _____ of the angle. diagram: …
A. vertex
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the sun casts a shadow on a building and a flagpole. the building is 10…
B. 20 feet
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question 14 of 42. which of the following best describes \\(\\overline{…
C. Slant height
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question 13 of 42 which of the following best describes the sum of the …
A. Lateral area
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1. the figure on the left reflects, or flips, over a line of reflection…
a. The equation \(a^{2}+b^{2}=c^{2}\) is true (since \(4^{2}+3^{2}=16 + 9=25=5^{2}\)). b. The equation \(a^{2}+b^{2}=c^{2}\) is true (since \(24^{2}+7^{2}=576 + 49=625=25^{2}\)).
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using what you know about angle pairs formed by parallel lines and a tr…
∠1 and ∠\(3\) are supplementary and ∠\(2\) and ∠\(4\) are supplementary because they are same - side interior angles formed by parallel lines (the bases of the trapezoid) and a tr…
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find ∠adb, if the measure of ∠adc is 123°. draw
\(76^\circ\)
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consider right triangle △ghi below. which expressions represent the len…
To solve for the length of \( \overline{HI} \) in right triangle \( \triangle GHI \) (right - angled at \( I \)): ### Step 1: Recall trigonometric ratios In a right - triangle, th…
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solve for k, if the measure of ∠jml is 130°. the diagram shows point m …
\( k = 5 \)
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question 10 of 42 what is the volume of the sphere shown below with a r…
A. 288π cu units
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topic practice a. consider the figures. make a conjecture about which f…
Congruent figures to the original are A, E, and G. - **A**: Rotate (spin) the original to match A. - **E**: Rotate (spin) the original to match E. - **G**: Flip (reflect) or rotat…
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in the image shown, $overleftrightarrow{hs} parallel overleftrightarrow…
9