幾何
三角形、円、座標幾何、証明問題。
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quadrilateral pqrs is rotated 90° clockwise about the origin to form qu…
\( 1 \)
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there is a combined figure (a rectangle and a triangle) with dimensions…
11.25
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a square pyramid and its net are shown below. what is the surface area …
736
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translate each graph as specified below. (a) the graph of ( y = |x| ) i…
- Part (a): Shift the graph of \( y = |x| \) 1 unit to the left. - Part (b): Shift the graph of \( y = |x| \) 3 units down.
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figure | cross section (a) image of a triangular prism with a blue plan…
For (a): The second cross - section (the triangle). For (b): The second cross - section (the triangle). For (c): The fourth cross - section (the circle).
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sketch the solution to this system of inequalities: $x - y \\leq 3$ $3x…
B. The graph in option B
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y < -x + 2 y < 4x - 3 a) b) c) d)
C
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15 mark for review a circle in the xy-plane has a diameter with endpoin…
\(5\)
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4 the figure shows circle b. given that ( overarc{ea} cong overarc{hc} …
### Parte a: Demostración usando SAS # Explicación: ## Paso 1: Identificar lados y ángulo - \( BA = BC \) (radios del círculo \( B \)). - \( \angle EBA = \angle HBC \) (dado que \…
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y > x + 2 y < -\\frac{1}{3}x - 3 a) graph a b) graph b c) graph c d) gr…
B)
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partition each area model again to make like units.
The first area model (with 5 vertical strips) should be partitioned into 20 equal parts (by dividing each of the 5 strips into 4 sub - strips), and the second area model (with 4 h…
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figure cross section (a) (b) (c)
For (a): The fourth cross - section (the rectangle). For (b): The fourth cross - section (the rectangle). For (c): The sixth cross - section (the circle).
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11 mark for review ( y = 2x + 10 ) ( y = 2x - 1 ) at how many points do…
A. Zero
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if a circular railroad crossing sign has an area of 254.34 in.², what i…
18
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y ≥ -\\frac{1}{4}x + 3\ x > -2\ \ a) image of a graph\ b) image of a gr…
A. (The graph labeled 'a')
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multiple choice 1 point sketch the solution to this system of inequalit…
A. (The graph labeled A with the solid steep line and dashed shallow line, shaded above both)
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7 mark for review in triangle abc, the measure of angle a is 54°, the m…
C. 72
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multiple choice 1 point sketch the solution to this system of inequalit…
B. (The option corresponding to the graph where the shaded region is below \(y = - 2x + 3\) (solid line) and above \(y=x - 3\) (dashed line))
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x + 2y ≥ 2 6x + 2y ≤ -6 a) image of graph a b) image of graph b c) imag…
A) (the graph corresponding to option A)
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the formula for the volume of a pyramid is $v = \\frac{1}{3}bh$, where …
40
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do you understand? 1. essential question what are the properties of the…
- Properties of medians: A median connects a vertex to the mid - point of the opposite side. The medians of a triangle are concurrent (intersect at one point called the centroid),…
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solve for x. 34 x° 32 84° law of sines: \\(\frac{\\sin a}{a} = \\frac{\…
\( 69 \) (approximate, depending on calculator precision)
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solve for x. 34 32 84° x° law of sines: \\(\\frac{\\sin a}{a} = \\frac{…
\( 69.51 \)
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use the following graph to find x when y = -1. when y = -1, x =
3
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find the area of the triangle below. be sure to include the correct uni…
$15$ square feet (or $15\ \text{ft}^2$)
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find the area of the triangle below. be sure to include the correct uni…
The area of the triangle is $120$ square feet.
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find the area of the triangle below. be sure to include the correct uni…
$26$ square centimeters (or $26\ \text{cm}^2$)
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solve for x. 34 x° 32 84° x = ?° law of sines: \\(\frac{\\sin a}{a} = \…
\( 69.51 \)
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2/7 + 2/3 partition each area model again to make like units.
The sum of \(\frac{2}{7}+\frac{2}{3}\) is \(\frac{20}{21}\). For the area models, partition the first (7 - part) rectangle into 21 parts (by dividing each of the 7 columns into 3 …
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solve. 35 + 6 > 30 5 > (rectangle)
A possible answer is \(4\) (or any number less than \(5\), e.g., \(4\), \(3\), \(2\), \(1\), \(0\), \(-1\), etc.). If we take the simplest positive integer less than \(5\), it's \…
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solve for x. 27 x° 44 28° x = ?° law of sines: \\(\\frac{\\sin a}{a} = …
\( 50 \)
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partition each area model again to make like units.
The first area model (5 - strip) is partitioned into 20 equal smaller rectangles (each original strip into 4), and the second (4 - strip) into 20 equal smaller rectangles (each or…
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use the compass and straightedge to construct a segment congruent to \\…
Construct \( \overline{PQ} \) (where \( Q \) is on the arc from \( P \) with radius \( FG \)) congruent to \( \overline{FG} \).
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find the measure of the supplementary angles with measures 3x + 1 and 2…
A. \(106^{\circ}\) and \(74^{\circ}\)
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which statement best explains why \\(\\tan(\\theta) = \\tan(180^{\\circ…
B. Tangent values repeat when multiples of \(180^{\circ}\) are added to angles on the unit circle.
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2. if g is the incenter of $\\triangle abc$, find each missing measure.…
s: a) \( GD=\boldsymbol{12} \) b) \( BG=\boldsymbol{6\sqrt{5}} \) (or approximately \( 13.42 \)) c) \( FC=\boldsymbol{35} \) d) \( BF=\boldsymbol{6} \)
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practice! 1. if p is the incenter of $\\triangle jkl$, find each missin…
s: a) \(\boldsymbol{8}\) b) \(\boldsymbol{15}\) (assuming to form Pythagorean triple with \( PN = 8 \) and \( PK = 17 \)) c) \(\boldsymbol{17}\) (by Pythagorean theorem: \(\sqrt{8…
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to indirectly measure the distance across a lake, katherine makes use o…
\( 205.00 \) meters
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practice! 1. if p is the incenter of δjkl, find each missing measure. a…
a) \(78^\circ\) b) \(30^\circ\) c) \(72^\circ\) d) \(15^\circ\) e) \(36^\circ\) f) \(39^\circ\) g) \(126^\circ\)
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find the value of x. (there is a quadrilateral with angles 131°, x°, 70…
\(x = 85\)
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practice! 1. if p is the incenter of △jkl, find each missing measure. a…
a) \(78^\circ\) b) \(30^\circ\) c) \(72^\circ\) d) \(15^\circ\) e) \(36^\circ\) f) \(39^\circ\) g) \(126^\circ\)
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find the value of x. 126° 80° x° 82° x =
\(x = 72\)
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find the value of x. 116° 87° 44° x° x =
\(113\)
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(b) find m∠k. m∠k=□°
\( 40 \)
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centers of triangles: circumcenter & incenter circumcenter - the ______…
### Practice 1: a) \( TU = \boldsymbol{38} \) b) \( VY = \boldsymbol{34} \) (assuming \( Y \) is midpoint, \( VY = 34 \)) c) \( UZ = \boldsymbol{34} \) (circumradius, equal to \( …
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(a) find hi. hi = \\square
\( 3 \)
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use the compass and straightedge to construct a segment congruent to \\…
Construct \( \overline{PQ} \) (where \( Q \) is on the arc from \( P \) with radius \( CD \)) congruent to \( \overline{CD} \).
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main ideas/questions | notes parts of a right triangle | image of a rig…
- Sides \(a\) and \(b\) are called: legs - Side \(c\) is called the: hypotenuse - The Pythagorean Theorem is used to find a missing side length on a: right - angled triangle - For…
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find $m\\angle y$ and $wy$. $m\\angle y = \\square ^\\circ$ $wy = \\squ…
\( m\angle Y = 60^\circ \); \( WY = 7 \) in.
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find the value of x. (triangle def with all sides marked as equal, angl…
\( 10 \)
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let \\( \\mathbf{u} = \\langle 5, -12 \ angle \\) and \\( c = -3 \\). w…
39
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incorrect 2 tries left. please try again. find the value of x. (triangl…
\( \boldsymbol{20} \)
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find the area of the figure. (sides meet at right angles.) 9 yd 4 yd 5 …
\(61\)
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name: levi.h. class: topic: date: main ideas/questions notes parts of a…
1. \(x\approx10.6\) in 2. \(x\approx23.4\) ft 3. \(x\approx11.5\) cm 4. \(x\approx39.0\) yd 5. \(x = 16\) in 6. \(x\approx21.6\) m
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find the value of x. triangle xyz with angle at x is 60 degrees, side x…
\(12\)
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find the value of x. triangle xyz with angle at x is 60 degrees, side x…
\(x = 12\)
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passages that people regularly chant, or read out loud instructions tha…
- "passages that people regularly chant, or read out loud": The circle under "practice". - "instructions that people follow to complete religious ceremonies": The circle under "pr…
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13. given: ∠1 and ∠4 form a linear pair; ∠1 and ∠2 are supplementary pr…
1. Reason: Given 2. Statement: $\boldsymbol{\angle 1}$ and $\boldsymbol{\angle 4}$ are supplementary 3. Statement: $\boldsymbol{\angle 1}$ and $\boldsymbol{\angle 2}$ are suppleme…
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solve for x. 14 x° 13 83° x = ?° law of sines: \\(\frac{\\sin a}{a} = \…
\( 67.22 \)
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for each set of three measures, determine if they can be angle measures…
- (a): Cannot be angle measures of a triangle - (b): Cannot be angle measures of a triangle - (c): Can be angle measures of a triangle - (d): Cannot be angle measures of a triangle
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for each set of three measures, determine if they can be angle measures…
(a) Can be angle measures of a triangle (select the circle under "Can be angle measures of a triangle") (b) Cannot be angle measures of a triangle (select the circle under "Cannot…
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12. given: $overline{bd} perp overline{bc}$; $angle abd cong angle dbe$…
1. Given 2. Definition of perpendicular lines 3. Definition of a right angle 4. Angle - Addition Postulate 5. Substitution Property (using \(m\angle DBC = 90^\circ\) from step 3) …
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solve for x. 22 11 x = ?° 28° law of sines: \\(\\frac{\\sin a}{a} = \\f…
$69.93$ (or $110.07$, but likely $69.93$ as the acute angle)
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the figure below shows part of a stained - glass window depicting the r…
\( A(w)=w^{2}+5w-\frac{1}{8}\pi w^{2} \) (the last option among the given choices)
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a circle with center l is shown in the figure below. (a) name a radius:…
(a) \( \overline{LO} \) (or \( \overline{LM} \), \( \overline{LN} \)) (b) \( \overline{MN} \) (c) \( \overline{PQ} \) (or \( \overline{MN} \)) (d) \( 16 \)
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11. given: \\(\\overrightarrow{km}\\) bisects \\(\\angle jkl\\) prove: …
1. Given 2. Definition of Angle Bisector 3. Angle Addition Postulate 4. Substitution Property of Equality 5. Combining Like Terms 6. Division Property of Equality
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solve for x. 12 x° 22 32° x = ?° law of sines: \\(\\frac{\\sin a}{a} = …
\(16.82\)
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find the center and the radius of the circle. $(x - 9)^2 + (y + 2)^2 = …
\(\sqrt{39}\)
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complete the proofs below by filling in the missing statements and reas…
| Statements | Reasons | | --- | --- | | 1. \( \angle1 \) and \( \angle2 \) form a linear pair | 1. Given | | 2. \( \angle1 \) and \( \angle2 \) are supplementary | 2. Linear Pair…
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solve for x. 14 x° 13 83° x = ?° law of sines: \\(\frac{\\sin a}{a} = \…
\(x\approx67.20^\circ\) (If we consider the correct side - angle correspondence, the answer is approximately \( 67.20^\circ \)) Wait, but earlier when we thought \( b > a \) leads…
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solve for x and graph the solution on the number line below. 4 < x - 1 …
Inequality Notation: \( x > 5 \) (For the number line: Open circle at 5, shade to the right.)
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solve for x. 43° 8 7 x° law of sines: \\(\frac{\\sin a}{a} = \\frac{\\s…
\( \boxed{51.23} \) (rounded to nearest hundredth)
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solve for x. 20 17 x° 64° x = ?° law of sines: \\frac{\\sin a}{a} = \\f…
$49.83$
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drag around all four vertices of the following quadrilateral a signific…
Las propiedades que son **Always True** son: - All four sides are congruent - Opposite sides are congruent - Opposite sides are parallel - Opposite angles are congruent - Diagonal…
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19 mark for review a right circular cone has a volume of 71,148π cubic …
D. 85
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find sr, st, rt, m∠trs, and m∠rst. round to the nearest tenth, if neces…
\( SR \approx 6.7 \) units, \( ST \approx 6.7 \) units, \( RT = 6 \) units, \( m\angle TRS = 56^\circ \), \( m\angle RST = 68^\circ \) (Note: Depending on grid accuracy, values ma…
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** this is a 2-page document! ** given each definition or theorem, comp…
\( m\angle D = m\angle E \) ### 2. Definition of Complementary Angles
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use the slope formula to find the slope of the line that passes through…
A. The slope is \(m = -4\). The line is decreasing.
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determine the slope of the line through the given points. (-7, 10) and …
A. The slope is \(\frac{15}{2}\)
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12 mark for review in triangle xyz, angle y is a right angle, point p l…
\( 153 \)
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two paths ascend separate hills from the same point. one is 18 m long, …
\( 87.00 \)
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incorrect 2 tries left. please try again. signs yield signs notify driv…
(part a): \(x = 7\) Wait, let's check: \(4(7) + 2 = 30\), \(3(7) + 9 = 30\), so sides are equal, so it's an isosceles or equilateral triangle. Then, if it's equilateral, all sides…
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a lighthouse views two boats from the shore, one 24 m north, and the ot…
\( 78.46 \)
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use the figure. which is greater, m∠tur or m∠ruq? complete the explanat…
# Explanation: ## Step1: Identify Angle Relationships From the figure, \( \angle SUR = 39^\circ \), and \( \angle TUR \) is a right angle (\( 90^\circ \))? Wait, no, first check t…
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one side of a ravine is 51 ft long, and the other is 43 ft long. an 84 …
\( 126.42 \)
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one side of a ravine is 62 ft long, and the other is 50 ft long. a 103 …
\( 133.47 \)
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a pair of supplementary angles are: a ∠run and ∠tup b ∠sur and ∠puq c ∠…
D. \(\angle TUP\) and \(\angle SUR\)
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a pilot sees two birds. the angle between them from the pilots location…
\(9.33\)
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find the center and the radius of the circle with the given equation. t…
The center of the circle is \((5,-3)\) and the radius is \(9\)
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1 try left. try once more suppose that $\\triangle pqr$ is isosceles wi…
\( m\angle P = 62^\circ \), \( m\angle Q = 62^\circ \), \( m\angle R = 56^\circ \)
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an officer spots two boats with an angle of 53° between them. boat a is…
\(2.87\)
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use the figure to select a pair of adjacent angles and complete the des…
The angle adjacent to \(\angle SUR\) is \(\angle RUN\) (assuming the correct angle from the figure, the actual correct angle based on the figure's line arrangement is \(\angle RUN…
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there is a geometric figure with a 148° angle, a right angle, and some …
\(x = 58^\circ\)
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start at the 148. find the angle adjacent (next to) the 148. then find …
\(116^\circ\)
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a private plane and a jetliner both fly over a park that is at (-2, 2) …
\( y = -2x - 2 \) (So in the boxes, the first box is -2 and the second box is -2)
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complete the two - column proof by dragging the statements into the cor…
1. Given 2. Definition of Midpoint 3. Vertical Angles Theorem 4. ASA Congruence Postulate
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complete the two - column proof by selecting the correct postulate for …
SSS (The option corresponding to SSS, for example, if the options are labeled as in the problem, the correct option is the one with SSS)
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partially correct (b): your answer is incorrect. use the graph of the p…
The equation of the axis of symmetry is \( x = 1 \)
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which of these relations is a function?
The graph on the top - right
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given ( np cong mp ), ( np perp pl ) prove: ( \triangle npl cong \trian…
The completed proof shows that \( \triangle NPL\cong\triangle MPL \) by SAS congruence criterion, with the steps as filled in the table above. The key congruent parts are \( \over…