Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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in the triangle below, \\( \\angle c \\) is a right angle. suppose that…
(a) The equation is \(8x + 116=180\) (or the expanded form \((5x + 15)+(3x + 11)+90 = 180\)) (b) \(m\angle A=\boldsymbol{55^\circ}\), \(m\angle B=\boldsymbol{35^\circ}\), \(m\angl…
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find the measure of each segment. #1) ab
\( 5 \)
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use the interactive protractor to determine the measure of the angle. w…
\( 110^\circ \) (the option is "110°")
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triangle abc is a right triangle the length of bc is 5 units. the area …
50 square units
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do the \find the syllable type\ activity have your child circle the wor…
Circled (open syllable) words: pry, hi, she, be, so, why, cry, I, no Crossed out words: kept, huff, spill, fly, lamp, fold Written and marked open syllable words: 1. pr/y 2. h/i 3…
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in the figure below, ( l parallel m ). find ( x ). ( x = square )
\(39\)
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what is the pre - image of vertex a if the triangle shown on the graph …
\((-6, 8)\) (matching the option \((-6, 8)\))
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in the figure, e, g, h are on a vertical line, g and f are on a horizon…
\( a = 9 \)
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6-8 additional practice 1. leveled practice if ( p parallel q ), what i…
\( m\angle v = 76^{\circ} \) (assuming \( \angle u \) and \( \angle v \) are same - side interior angles and supplementary) ### Problem 2:
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translate triangle abc, starting at (0, -5) (3, -5) (6, 2), to the left…
c
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the vertices of $\\triangle abc$ are $a(-6, -7)$, $b(-3, -10)$, and $c(…
c. $A'(5, -3), B'(8, -6), C'(6,6)$
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translate triangle abc, with vertices at (2, -4) (-4, 4) (-1, 3), 6 uni…
The correct image is option a
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the vertices of $\\triangle abc$ are $a(-6, -7)$, $b(-3, -10)$, and $c(…
a. $A'(-8,-14)$, $B'(-5,-17)$, $C'(-7,-5)$
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6 - 8 additional practice 1. (some text about angles and parallel lines…
\( 75.8^{\circ} \) ### Problem 4:
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which statement proves that quadrilateral hijk is a kite? - $overline{h…
IH = IJ = 3 and JK = HK = $\sqrt{29}$, and IH ≠ JK and IJ ≠ HK.
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what would be the coordinates of the vertex w of a rectangle after a ho…
d. $(4, -3)$
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translate triangle abc, with vertices (-3, -2) (-0, -2) (-0, 5), 6 unit…
The correct image is option a.
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d a hexagon with exactly 1 pair of parallel sides
A possible hexagon is formed by connecting the grid points in the following order (using a 5x5 grid coordinate system where the bottom-left is (1,1)): $(1,1)$, $(2,1)$, $(3,2)$, $…
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select the correct answer. $overleftrightarrow{ab}$ and $overleftrighta…
C. $-7x - 5y = -48$
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quadrilateral defg is an isosceles trapezoid and ( mangle g = 5v - 42^c…
$v = 18.8$
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quadrilateral defg is an isosceles trapezoid and ( mangle g = 7u + 20^c…
$u = 6$
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solve for x. x = (simplify your answer. type an integer or a simplified…
14
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translate triangle abc, starting at (3, -0) (-3, -6) (0, 1), 6 units to…
b
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type the correct answer in each box. use numerals instead of words. if …
$y = -\frac{1}{4}x + 7$ The first box is $-\frac{1}{4}$ (or -1/4) and the second box is 7.
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c a hexagon with exactly 1 pair of perpendicular sides
A valid hexagon is formed by connecting the grid points in this order: $(1,1)$, $(1,2)$, $(2,2)$, $(3,3)$, $(4,2)$, $(4,1)$, $(2,1)$ (and back to $(1,1)$). This shape has exactly …
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translate triangle abc, starting at (3, -6) (-3, -6) (0, 1), 6 units to…
The translated triangle will have vertices at (9, -5), (3, -5), (6, 2)
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proving properties in the coordinate plane prove that the diagonals of …
The slope of $\overline{XV}$ is $\boldsymbol{\frac{5}{6}}$ The slope of $\overline{UW}$ is $\boldsymbol{-\frac{6}{5}}$ The slopes of the diagonals are $\boldsymbol{\text{negative …
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the vertices of rhombus defg are d(1, 4), e(4, 0), f(1, -4), and g(-2, …
20 units
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tw is the midsegment of the trapezoid uvxy. if xy = -z + 72, tw = 3z - …
$z = 35$
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quadrilateral fghi is an isosceles trapezoid, fh = 7a - 46, and gi = 6a…
$a = 18$
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which steps will verify that a parallelogram is a rectangle? check all …
- Calculate the lengths of the diagonals, and show that they are equal. - Calculate the slopes of every side, and show that adjacent sides are perpendicular.
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b a pentagon with exactly 1 right angle and exactly 1 acute angle
A pentagon meeting the requirements is formed by connecting the dot grid points in the order: (1,1) → (1,3) → (3,5) → (5,5) → (2,1) → (1,1) Visual description: - A right angle at …
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triangle abc is an isosceles triangle in which side ab = ac. what is th…
10 + √10 units
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bisecting a segment given \\(\\overline{ed} \\cong \\overline{db}\\), w…
- $\overline{EB}$ is bisected by $\overline{DF}$. - A is the midpoint of $\overline{FC}$. - $\overline{EB}$ is a segment bisector. - $FA=\frac{1}{2}FC$.
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mary thinks the triangle is equilateral. how would you support or dispu…
Use the distance formula to calculate the length of all three sides, and check whether all sides are congruent.
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a a quadrilateral with exactly 1 pair of parallel sides
Se trata de un **trapecio** (definición exclusiva). Un ejemplo de dibujo en la cuadrícula: Conectar los puntos (fila 1, columna 1), (fila 1, columna 3), (fila 3, columna 4), (fila…
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10 - 12. what is the value of x in each diagram below? homework help a.…
(10-12): a. $x \approx 46.3$ b. $x \approx 8.2$ --- ### 10-13: Write equations for each trigonometric graph We use the general sinusoidal form: $y = A\sin(B(x-C)) + D$ or $y = A\c…
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a) $a = \\dfrac{1}{2}, b = \\sqrt{3}$ b) $a = \\dfrac{3}{2}, b = \\dfra…
C) $a=\sqrt{3}$, $b=1$
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test prep a rhombus has sides of length ( x + 6 ) inches and a perimete…
$\boldsymbol{4(x + 6) = 49}$ (Option 3)
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1. simplify: \\(\\frac{24x^{5}y^{8}}{3x^{-3}y^{2}}\\). 2. write an expr…
\(8x^8y^6\) ### Problem 2
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9) a) $x=\\frac{7\\sqrt{6}}{6}, y=7$ b) $x=7, y=\\frac{7\\sqrt{2}}{2}$ …
B) $x = 7$, $y = \frac{7\sqrt{2}}{2}$
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factor to find all x-intercepts of the function.\\( f(x) = x^4 - 3x^3 +…
The x - intercepts of the function are \(x = 0\) and \(x = 3\). If we consider the boxed answer (for one of them, but since there are two real x - intercepts), if we take \(x = 0\…
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find the missing length u, m, t are on a line segment with um = 28, ut …
18
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determining a missing length t -------(3x - 4)------- s ------- r (4x +…
\( \boldsymbol{x + 5} \) (corresponding to the option "x + 5")
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reflections figure abcdef was reflected across the line ( y = -x ) to c…
# Explanation: ## Step1: Recall reflection over \( y = -x \) The rule for reflecting a point \((x, y)\) over the line \( y = -x \) is \((x, y) \to (-y, -x)\). This means to find t…
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figure b is a scaled copy of figure a. what is the scale factor from fi…
3
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find each angle measure for rhombus abcd. 18. ( mangle acd ) 19. ( mang…
45
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the area of rectangle wxyz is 115.5 in². what is the perimeter of △xyz?…
The perimeter of \( \triangle XYZ \) is approximately \( 36.71 \, \text{m} \) (or if exact, \( 10.5 + 11 + \sqrt{231.25} \), but likely the values are \( XY = 10.5 \), \( YZ = 11 …
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area of rectangle $a = l\\cdot w$ what is the surface area of the three…
52
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measuring segments use the interactive ruler to determine the lengths o…
Segment AB measures 2 units. Segment BD measures 8 units. Segment BC measures 6 units (assuming the slant length, but based on the dropdown and diagram, likely 6; however, if the …
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question from the observation deck of a skyscraper, parker measures a 4…
$897.38$ feet
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question nubhitha leans a 26 - foot ladder against a wall so that it fo…
12.60 feet
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measuring segments use the interactive ruler to determine the lengths o…
Segment AB measures $\boldsymbol{2}$ units. Segment BD measures $\boldsymbol{7}$ units. Segment BC measures $\boldsymbol{2}$ units. (Note: The values are based on visual measureme…
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question faith wants to use a sheet of fiberboard 24 inches long to cre…
10.5 inches
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what is the value of x? 12 units 25 units 15 units 20 units
12 units
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sydney wants to use a sheet of fiberboard 36 inches long to create a sk…
12.31 inches
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7-3 enrichment proving triangles similar complete the proofs. 1. given:…
### Proof 1: | Statement | Reason | |-----------|--------| | 1. ABCD is a trapezoid. | 1. Given | | 2. $\overline{AD} \parallel \overline{BC}$ | 2. Definition of a trapezoid | | 3…
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a right triangle has one angle that measure $23^{circ}$. the adjacent l…
\(161.8\space cm^2\)
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name each of the following regular polygons. determine the sum of inter…
To solve this, we'll analyze each regular polygon by counting its sides, naming it, then using the formulas for the sum of interior angles (\(S = (n - 2) \times 180^\circ\)) and t…
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21 select the correct answer from each drop - down menu. the center of …
The measure of $\angle ADO$ is $\boldsymbol{90}^\circ$. The measure of $\boldsymbol{\angle CGE}$ (or $\boldsymbol{\angle DGF}$) is equal to $\frac{1}{2}(m\overset{\frown}{CF} + m\…
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question from the observation deck of a skyscraper, aaliyah measures a …
375 feet
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which equation can be used to find the length of \\(overline{ac}\\)? \\…
$\boldsymbol{(10)\sin(40^\circ) = AC}$ (the option with this equation)
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select the correct answer arc xy located on circle a has a length of 40…
A. 4
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the lengths of two sides of a right triangle are 5 inches and 8 inches.…
3.2 inches
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select the correct answer. in the given figure, ( mwidehat{hj} = 106^ci…
A. The measure of $\angle$G is 21°, and triangle FGH is isosceles.
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which classification best represents a triangle with side lengths 10 in…
acute, because \(10^{2}+12^{2}>15^{2}\)
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18 select the correct answer. what is the area of the shaded portion of…
A. $\frac{56}{9}\pi$
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pretest: circles the transportation department has to put a railing alo…
C. 86 feet
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use the diagram below to answer the questions. which are shown on the d…
\(\boldsymbol{\overrightarrow{KM}}\), \(\boldsymbol{\overrightarrow{JK}}\), \(\boldsymbol{\overrightarrow{PK}}\), \(\boldsymbol{\angle LJK}\)
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point o is the center of this circle. what is ( mangle bca )? a. ( 56^c…
B. $62^\circ$
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select the correct answer. which equation represents a circle with cent…
D. $(x+3)^2 + (y-5)^2 = 16$
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for a circle defined by the given equation, what are the coordinates of…
B. center: (2,5) radius: 3 units
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select the correct answer. circle f is represented by the equation $(x …
A. 3
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select the correct answer. segment pq is tangent to the circle at point…
C. $(PQ)^2 = (PR)(PS)$
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11 the length of an arc of a circle is \\(\\frac{26}{9}\\pi\\) centimet…
D. 8 cm
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10 select the correct answer from each drop - down menu. in a circle wi…
The radian measure of the central angle is $\boldsymbol{0.57}$. The area of the sector formed by the arc is $\boldsymbol{14}$ square feet.
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practice applying the slope - intercept form of an equation. which grap…
The third graph (bottom-left option, crossing y-axis at (0,-2) with positive slope)
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select the correct answer. what is the length of \\(\\overline{rs}\\)? …
C. 16
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8 type the correct answer in each box. assume π = 3.14. round your answ…
The radius of the circle is 8 units, and $m\overset{\frown}{AB}$ is 4.2 units.
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the area of three squares is 48 square centimeters. whats a good estima…
The area of the circle is a little more than 48 square centimeters.
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now, lets look at three squares. if the area of one square is 16 square…
$48$ square centimeters
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select the correct answer from the drop - down menu. in the figure, oa …
$\frac{R^2}{r^2}$ (matches the option $R^2/r^2$)
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select the correct answer. in the diagram, (overline{ac}) is a diameter…
B. $40^\circ$
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which defines a circle? two rays with a common endpoint a piece of a li…
D. all coplanar points equidistant from a given point
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which pair of undefined terms is used to define a ray? line and plane p…
D. point and line
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1. simplify: \\(\\frac{14a^{4}b^{5}c^{-10}}{8a^{-3}b^{4}c^{-5}}\\)\ 2. …
\(\frac{7a^{7}b}{4c^{5}}\) ### Problem 2: Find the width of the rectangle
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select the correct answer. which point lies on the circle represented b…
B. (-7,-3)
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investigating the slope of the line use the slider to change the value …
1. As the value of \(m\) changes from 1 to 3, the graph gets steeper 2. As the value of \(m\) changes from -6 to -1, the graph gets less steep 3. When the slope of the line is neg…
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an equilateral triangle has side lengths that measure ( x + 4 ) inches.…
$3(x + 4) = 18.6$
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which undefined term is used to define an angle? line plane point ray
point
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which pair of angles shares ray af as a common side? - $\\angle daf$ an…
D. \( \angle BAF \) and \( \angle FAD \)
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which pair of undefined terms is used to define the term parallel lines…
B. plane and line
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which is the definition of a ray? a part of a line that has one endpoin…
A. a part of a line that has one endpoint and extends indefinitely in one direction
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drag each tile to the correct box. paul orders 3 different sizes of piz…
slice from pizza 1 < slice from pizza 2 < slice from pizza 3
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which is the endpoint of a ray? ○ point r ○ point s ○ point t ○ point u
point S
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which undefined term can contain parallel lines? line plane point ray
B. plane
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which point is the center of the circle? ○ point w ○ point x ○ point y …
point X
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circle the points on the graph to prove your answer! what is the x - in…
B. (5, 0)
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which is the definition of a line segment? a figure formed by two rays …
D. a part of a line that has two endpoints (Note: Assuming the options are labeled A, B, C, D in order. If original labels differ, adjust accordingly, but based on the order, the …
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select the correct answer. what is the value of x in the triangle? tria…
A. $10\sqrt{2}$