幾何
三角形、円、座標幾何、証明問題。
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short response 7. a 12 - ft - long ladder is leaning against a wall and…
Height on wall: $\approx142$ inches, Base distance: $\approx25$ inches.
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question 1 of 10 in the diagram below, \\(\\overleftrightarrow{bd}\\) i…
C. 125
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the diagram below is a right triangle formed by 3 squares. select 3 sid…
12, 16, 20 (corresponding to the side lengths that satisfy \(12^2 + 16^2 = 20^2\) for the right triangle formed by the squares, using the Pythagorean theorem).
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given $m\\parallel n$, find the value of x.
$148$
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for questions 8 - 10, in the diagram below, \\overleftrightarrow{ab} is…
$x = 70^\circ$, $y = 110^\circ$, $z = 70^\circ$
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unit 2 quiz #1 show your work for full credit. read the instructions. c…
Let's solve the missing angle problems (5, 6, and the right triangle at the bottom) using the Triangle Sum Theorem, which states that the sum of the interior angles of a triangle …
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for the given triangles, find the indicated (sides and angles?) ① sides…
s: - For problem 5: \(x = 77^\circ\) - For problem 6: \(x = 63^\circ\) - For problem 7: If it's a right - angled triangle with angles \((3x + 1)^\circ\), \(6x^\circ\) and \(90^\ci…
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4. a 14-ft-long ramp rises at an angle of 22.2°. how long is the base o…
G. 13 ft ### Question 5
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9) write an equation in slope - intercept form for a line perpendicular…
$y = \frac{1}{3}x + 3$
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e. area: $12×3 = (6×2)×3$ $= 6×2×3$ $= \\underline{quad} × \\underline{…
Side lengths: 12 cm, 3 cm Area calculation blanks: $6 \times 6$, $36$ Area: 36 sq cm
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what are the coordinates of point e?
\((0,1)\)
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d. area: $4 \\times 9 = 4 \\times (3 \\times 3)$ $= 4 \\times 3 \\times…
Side lengths: 4 cm, 9 cm Filled calculation steps: $= 12 \times 3$ $= 36$ Area: 36 sq cm
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which point has coordinates (-2, 0)?
D
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multiple choice for exercises 1-6, choose the correct letter. 1. what i…
C. $\frac{\sqrt{3}}{2}$
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parte 2: completa las oraciones use the correct infinitive from the voc…
## Parte 2: 1. hablar 2. llamar (por teléfono) 3. grabar / ver videos 4. navegar por internet 5. escuchar música ## Parte 3: 1. b) hacer una videollamada 2. b) ver videos 3. b) co…
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6 ÷ 72 (or the division expression represented by the hand - drawn divi…
12
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properties are always true by dragging them to the right. not always tr…
## Always True: - Opposite sides are congruent - Opposite sides are parallel - Opposite angles are congruent - Diagonals bisect each other - Sum of all angles equals $360^\circ$ #…
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fill in the sentence below with the description that most specifically …
trapezoid, because it has exactly one pair of parallel sides.
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given: ( mangle a + mangle b = mangle b + mangle c ) prove: ( mangle c …
- reflexive property - subtract - symmetric property
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fill in the sentence below with the description that most specifically …
rectangle, because it has four right angles and its opposite sides are equal in length.
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in the rhombus (or quadrilateral with marked equal sides) with vertices…
$95^\circ$
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reflect the figure over the line $y=-1$. plot all of the points of the …
The reflected figure has points: $(-8, -4)$, $(-4, -3)$, $(-3, -9)$ (plot these points and connect them to form the reflected triangle)
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examine the measures given in the diagram. what is the value of y? a. 2…
C. \(14\sqrt{3}\)
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given: \\(\\overline{ab} \\parallel \\overline{dc}\\) and \\(\\angle b\…
C. Statement: $\triangle BPQ \sim \triangle DRS$ Reason: transitive property of similarity
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writing a two - column proof statements | reasons 1. ∠abc is rt ∠ | 1. …
A: given B: \( m\angle ABC = 90^\circ \) C: angle addition postulate (or def of angle addition) D: \( 2m\angle CBD = 90^\circ \)
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question reflect the figure over the line $y = -1$. plot all of the poi…
The reflected points are $(-5, 4)$, $(-4, 6)$, and $(-2, 6)$
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reflect the figure over the line $y = -1$. plot all of the points of th…
The reflected figure's points are $(-4, -7)$, $(-1, -7)$, and $(-2, -6)$
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purple: a right triangle with one acute angle 32°, the adjacent side to…
\(x\approx7.5\)
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2 dbe is obtained by enlarging abc. if the area of abc is 3 square unit…
A. 27 square units
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level 296 what is the area of this figure? 40 cm 18 cm 30 cm 15 cm sele…
B. \(525\space cm^{2}\)
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select all the correct answers. which figures have rotational symmetry?
1. The top diamond-cross figure 2. The bottom regular hexagon figure
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reflect the figure over the line $x = 2$. plot all of the points of the…
The reflected figure has vertices at $(-1,3)$, $(-3,5)$, $(-5,4)$, $(-4,2)$ (plot these points on the grid to form the reflected shape).
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given: ∠abc is a right angle and ∠def is a right angle. prove: all righ…
- A: Definition of a Right Angle - B: Transitive Property of Equality (or Substitution, since both equal \( 90^\circ \)) - C: Definition of Congruent Angles
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question 1. examine the given information in the diagram. which two sta…
A. \(x = 8\) D. \(y = 8\sqrt{2}\)
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right triangle trig valentines find the missing side of each triangle a…
(for the first blue triangle \( x \)): \( \approx 3.8 \) (matches C)
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find an angle \\( \\theta \\) coterminal to \\( \\frac{25\\pi}{6} \\), …
$\frac{\pi}{6}$
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a. exercises 1. a ______ is a set of ordered pairs. the set of inputs i…
1. A \(\boldsymbol{\text{relation}}\) is a set of ordered pairs. The set of inputs is its \(\boldsymbol{\text{domain}}\), and the set of outputs is its \(\boldsymbol{\text{range}}…
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given: bisects ∠aec. ∠aed is a straight angle. prove: m∠aeb = 45° compl…
First blank: \( 90 \) Second blank: \( \angle AEC \) Third blank: definition of supplementary angles (or linear pair postulate, as \( \angle AEC \) and \( \angle CED \) form a lin…
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similarity transformations what is the length of \\(\\overline{sr}\\)? …
15 units
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question 5. a ladder is leaning against a house, forming a right triang…
B. 5 ft
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triangle tvw is dilated according to the rule ( d_{(0,\frac{1}{3})}(x,y…
T'(-1, 2) and V'(0, 1) (the option with T'(-1, 2) and V'(0, 1))
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triangle xyz is rotated to create the image triangle xyz. which rules c…
B. \( R_{0, 180^\circ} \) E. \( (x, y) \to (-x, -y) \) (Note: Assuming options are labeled as: A. \( R_{0, 90^\circ} \) B. \( R_{0, 180^\circ} \) C. \( R_{0, 270^\circ} \) D. \( (…
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triangle abc was dilated using the rule $d_{y, \\frac{1}{4}}$. if $ca =…
16 units
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based only on the information given in the diagram, which congruence th…
A. HL B. LA C. ASA E. AAS
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examine the given triangle. which two equations can be used to solve fo…
A. $\tan 22^\circ = \frac{x}{12}$, D. $\tan 68^\circ = \frac{12}{x}$
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32 m, 25 m, 20 m. which ratio represents the tangent of the marked angl…
B. $\frac{5}{4}$
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ilarity transformations consider △rst and △ryx. if the triangles are si…
$\frac{RY}{RS} = \frac{RX}{RT} = \frac{XY}{TS}$ (the second option among the given choices, i.e., the one with $\frac{RY}{RS} = \frac{RX}{RT} = \frac{XY}{TS}$)
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in her math notebook, amanda divided an angle into 2 same - sized angle…
The equation that models the problem is \( \frac{m}{2}=55 \), and the measure of the original angle \( m \) is \( 110^\circ \).
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given m ∥ n, find the value of x and y.
$x=16$, $y=146$
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parallelogram fghj was dilated and translated to form similar parallelo…
4
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use the logo to match the second part of each sentence to the first....…
1. The palm leaves reveal the AU's desire to ... **increase peace and security on the African continent.** 2. The map of Africa with no country borders shows that the AU wants to …
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why is the information in the diagram enough to determine that \\(\\tri…
because $\angle MNL$ and $\angle ONP$ are congruent angles
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transformations: tutorial type the correct answer in each box. if neces…
$AB = 8$ units $BC = 4.5$ units $AC = 12.2$ units
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which transformations could have occurred to map $\\triangle abc$ to $\…
a reflection and a dilation
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warm-up what are the side lengths of triangle abc? type the correct ans…
$AB\approx5.7$, $BC\approx8.9$, $AC=12$
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ilarity transformations what is the length of \\(\\overline{ac}\\)? 18 …
12 ft
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one vertex of a polygon is located at (3, -2). after a rotation, the ve…
\(R_{0,90^\circ}\), \(R_{0,-270^\circ}\)
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what is the value of x? 20 units 15 units 25 units 12 units
12 units
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in the diagram, dg = 12, gf = 4, eh = 9, and hf = 3. to prove that $\\t…
\(\angle DFE\) is congruent to \(\angle GFH\)
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trapezoid ghjk was rotated 180° about the origin to determine the locat…
C. (3, 2)
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triangle rst was dilated by a scale factor of \\(\\frac{1}{2}\\). the i…
16 units
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ilarity transformations which value of y would make \\(\\overline{op} \…
36
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which value of ( x ) would make ( overline{tv} parallel overline{qs} )?…
10
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read the proof. given: \\(\\overline{ab} \\parallel \\overline{de}\\) p…
AA similarity theorem.
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imilarity transformations $overline{wy}$ is an altitude in triangle $wx…
\(\angle XWZ\) is a right angle.
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what is the value of y? 6√3 units 12√3 units 3√3 units 9√3 units
\( 6\sqrt{3} \) units
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is rectangle efgh the result of a dilation of rectangle abcd with a cen…
Yes, because corresponding sides are parallel and have lengths in the ratio $\frac{4}{3}$ (the option with this explanation).
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similarity transformations qr, rs, and sq are midsegments of △wxy. qr =…
14.50 cm
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is triangle abc a dilation of triangle abc? explain. yes, it is an enla…
No, it is not a dilation because the points of the image are not moved away from the center of dilation proportionally.
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check up circle the adjective that correctly completes the sentence. 1.…
A. biggest ### Question 2
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the dimensions of a rectangle are represented by the functions shown. $…
\( 12x^2 + 7x - 10 \) (the fourth option: \( 12x^2 + 7x - 10 \))
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many adjectives that tell what kind are changed to adverbs that tell ho…
brighter ### Question 2
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finding angles in transversal problems (level 1 question examples given…
$51$
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given ( m parallel n ), find the value of x.
\(73\)
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Question was provided via image upload.
C. $-0.875$
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solve for x. round to the nearest tenth of a degree, if necessary.
\( 30.0^{\circ} \) (rounded to the nearest tenth of a degree)
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graph each equation. 9) \\(\frac{x^2}{4} + \frac{y^2}{9} = 1\\)
The graph is an ellipse centered at the origin \((0,0)\) with vertices at \((0, 3)\), \((0, - 3)\) and co - vertices at \((2,0)\), \((-2,0)\) (and the ellipse is drawn passing thr…
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find the vertex of the parabola ( y = x^2 ). simplify both coordinates …
\((0, 0)\)
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graph each equation. 9) \\(\\frac{x^2}{4} + \\frac{y^2}{9} = 1\\) graph…
To graph the ellipse \(\boldsymbol{\frac{x^{2}}{4}+\frac{y^{2}}{9}=1}\): 1. Recognize it as a vertical ellipse centered at \((0,0)\) with \(a = 3\) (semi - major axis) and \(b=2\)…
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5. solve the inequality and graph the solution. $2 < \\frac{m}{-2} + 1$…
The solution to the inequality is \( m < -2 \). To graph this, plot an open circle at \( -2 \) on the number line and draw an arrow pointing to the left (towards more negative num…
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ramon wants to make an acute triangle with three pieces of wood. so far…
less than $\sqrt{58}$ inches but greater than 7 inches
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$overline{xy} perp overline{wx}$ and $overline{vw} perp overline{wx}$. …
Definition of perpendicular lines
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graph the line. $y = \\frac{3}{2}x$
The line passes through the origin $(0,0)$ and $(2,3)$, extending infinitely in both positive and negative directions along the grid.
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complete the proof that \\(\\overline{ps} \\cong \\overline{rs}\\). | |…
CPCTC (Corresponding Parts of Congruent Triangles are Congruent)
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$\\angle vwx \\cong \\angle vux$ and $\\angle uvw \\cong \\angle uxw$. …
1. Reason: Given 2. Reason: Given 3. Reason: Sum of interior angles of a quadrilateral is \( 360^\circ \) 4. Reason: Substitution (using \( \angle VWX \cong \angle VUX \) and \( \…
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for each part below, use the figure to fill in the blank. if necessary,…
\( 110 \) ### Part (b)
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una transversal corta dos rectas paralelas tal y como se muestra a cont…
$m\angle1 = 136^\circ$ $m\angle4 = 44^\circ$
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solve for ( x ). round to the nearest tenth, if necessary. (there is a …
\( 4.5 \)
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type the correct answer in the box. the volume of a rectangular prism i…
$\frac{V}{lh}$
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given ( l parallel m parallel n ), find the value of ( x ).
\( x = 17 \)
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what is the length of the missing leg? if necessary, round to the neare…
\(2.9\)
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the measures of the angles of a triangle are shown in the figure below.…
\(40\)
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complete the proof that $overline{hi} parallel overline{fg}$. | | state…
Alternate Interior Angles Theorem
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write the coordinates of the vertices after a rotation 90° counterclock…
The coordinates after rotation are: - \( S'(-1, -7) \) - \( T'(-10, -7) \) - \( U'(-10, -2) \) - \( V'(-1, -2) \)
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the measures of the angles of a triangle are shown in the figure below.…
\(x = 57\)
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what is the value of y? write your answer as an integer or as a decimal…
$y = 10.4$
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graph the line. y + 2x = 5
The line passes through points $(0, 5)$ and $(2.5, 0)$, and extends infinitely in both directions on the coordinate plane.
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graph the line. -3x + y = 3
The line passes through points $(-1, 0)$ and $(0, 3)$, and extends infinitely in both directions with a slope of 3.
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which rule explains why these scalene triangles are similar? sss sas aa…
none of the above; the triangles cannot be proven similar
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solve for ( x ) and graph the solution on the number line below. ( 6x >…
Inequality Notation: \(x > 10\) For the number line: We draw an open circle at \(10\) (because the inequality is \(>\) not \(\geq\)) and shade the region to the right of \(10\) to…