幾何
三角形、圓、解析幾何與證明題。
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label the parts of the graph. y - intercept x - intercept origin x - ax…
- Top green box: \( y \)-axis - Left green box: \( x \)-axis - Middle green box: origin - Right green box: \( x \)-intercept - Bottom green box: \( y \)-intercept
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the figures below are similar. the labeled sides are corresponding. wha…
\( 2:1 \)
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the figures below are similar. the labeled sides are corresponding. 7.4…
22.2
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the figures below are similar. the labeled sides are corresponding. 8 m…
\(24\)
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the figures below are similar. the labeled sides are corresponding. $p_…
18
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the figures below are similar. the labeled sides are corresponding. ima…
4
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the figures below are similar. the labeled sides are corresponding. 3 i…
\( 3:7 \)
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the figures below are similar. the labeled sides are corresponding. wha…
1:2
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the figures below are similar. the labeled sides are corresponding. wha…
9:4
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the figures below are similar. what is the ratio of the circumference o…
\( 2:1 \)
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the line ( y = -2x - 4 ) is graphed match each graph characteristic wit…
- Domain \(\longleftrightarrow\{x|x\in R\}\) - Range \(\longleftrightarrow[-4,0]\) - x - intercept \(\longleftrightarrow(-2,0)\) - y - intercept \(\longleftrightarrow(0,-4)\) - Th…
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the figures below are similar. what is the ratio of the area of the sma…
25:36
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the figures below are similar. the labeled sides are corresponding. $a_…
27
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the figures below are similar. the labeled sides are corresponding. 6 f…
9
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name: directions: now graph and label quadrilateral to prove that it is…
1. The graphed quadrilateral has vertices $M(-5, 6)$, $A(6, 6)$, $T(8, -3)$, $H(-3, -3)$ connected in sequence, with $MA$ and $TH$ as horizontal top/bottom sides, and $AT$ and $HM…
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in exercises 9 and 10, use the given information to write the standard …
9. $\boldsymbol{x^2+y^2=25}$ 10. $\boldsymbol{(x-3)^2+(y+2)^2=841}$ 11. The point $(-3,3)$ does NOT lie on the circle centered at the origin with radius 4. 12. Radius: $\boldsymbo…
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in exercises 9 and 10, use the given information to write the standard …
9. $x^2+y^2=25$ 10. $(x-3)^2+(y+2)^2=841$ 11. The point $(-3,3)$ does not lie on the circle, since $(-3)^2+3^2=18 eq16$. 12. Radius $r=5$; circle equation: $(x+2)^2+(y+5)^2=25$
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which formula can be used to find the volume, v, of the composite solid…
C. $V = \pi r^2 h + \frac{2}{3}\pi r^3$
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drag the tiles to the correct boxes to complete the pairs. not all tile…
1. Rectangular prism (8, 8, 9) ↔ Rectangular prism (18, 6, 6) 2. Cylinder (r=4, h=12) ↔ Rectangular prism (16, 6, 6) 3. Cone (r=6, h=8) ↔ Cylinder (r=3, h=8)
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find the perimeter and area of the rectangle of cardboard shown below. …
Perimeter: $63\ \text{cm}$ Area: $236.16\ \text{cm}^2$
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welcome to geometry honors. please complete this find the distance betw…
\(\sqrt{122}\) ### Problem 3: Distance between \((2,7)\) and \((8,7)\)
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question 1 find the perimeter and area of a rectangle of cardboard meas…
Perimeter: $72.6$ cm Area: $329.12$ cm²
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graph a right triangle with the two points forming the hypotenuse. usin…
$5\sqrt{2}$
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the equation of a circle is given below. identify the center and the ra…
Center: $(2, 0)$ Radius: $5$ To graph the circle: 1. Plot the center point at $(2, 0)$ on the coordinate grid. 2. From the center, count 5 units up, down, left, and right to plot …
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find the distance between each pair of points. 1) (-5, -7), (-4, 4) 2) …
s: 1) \(\sqrt{122}\) 2) \(5\)
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graph a right triangle with the two points forming the hypotenuse. usin…
$\sqrt{145}$
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name: period: equation of the circle hw in exercises 1–4, write the sta…
## Exercises 1-4 1. $x^2 + y^2 = 64$ 2. $x^2 + (y-5)^2 = 4$ 3. $(x-10)^2 + (y-5)^2 = 3$ 4. $(x+3)^2 + (y-2)^2 = 10$ ## Exercise 5 A. $(x+4)^2 + (y+4)^2 = 4$ B. $(x+1)^2 + (y-2)^2 …
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the equation of a circle is given below. identify the radius and the ce…
Radius: \(2\) Center: \((-4, 3)\)
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solving applications using the pythagorean theorem susan wants to purch…
1. The height of the TV is $\boldsymbol{21.69}$ inches. 2. Yes, the TV will fit in her entertainment center.
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finding a missing side using the pythagorean theorem use the diagrams t…
Figure A: $3.3$ Figure D: $11.97$
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finding a missing side using the pythagorean theorem use the diagrams t…
Figure A: $5.7$ Figure D: $9.78$ (or $9.784$ for exact value)
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in the right triangle abc (right - angled at c), the length of ab is 25…
$7$ in
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question 12 calculate the missing value. 41 in 9 in a c b b = question …
40 in
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calculate the missing value. c 8 in a 15 in c c = question help: messag…
17 in
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the expression for the area of the rectangle is: the dimensions of the …
The dimensions of the rectangle are: length = $10x$ width = $4x$ The expression for the area of the rectangle is: $40x^2$ The expression for the perimeter of the rectangle is: $28…
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20. what is the area of the rectangle below? 4x - 5 2x + 7 21. a rectan…
1. For question 20: $8x^2 + 18x - 35$ 2. For question 21: $3x^2y^2$
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7. reinforce what are the dimensions and the area of the rectangle that…
1. For the kite: - Dimensions: $\frac{7}{2}$ inches by $\frac{7}{2}$ inches (or 3.5 in by 3.5 in) - Area: 24.5 square inches 2. For the trapezoid: - Dimensions: 9 cm by 4 cm - Are…
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the figures below are similar. the labeled sides are corresponding. 4 m…
28
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the figures below are similar. the labeled sides are corresponding. 2 m…
5
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the figures below are similar. the labeled sides are corresponding. 2 i…
56
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triangle big is similar to triangle mop. find the value for ( v ). figu…
32 m
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the figures below are similar. the labeled sides are corresponding. 4 f…
\( 16 \)
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the triangles are similar. find the value for ( x ), and include the co…
$x = 55$ yd
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the figures below are similar. the labeled sides are corresponding. 4 c…
36
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the figures below are similar. the labeled sides are corresponding. 1 m…
5
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get a similar question you can retry this question below the triangles …
For the first triangle: $x = 55$ cm For the second triangle: $x = 55$ yd
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the figures below are similar. the labeled sides are corresponding. 9 m…
36
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the figures below are similar. the labeled sides are corresponding. $p_…
18
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question 5 find the value of x. figure is not to scale. question 6 find…
Top question: $37^\circ$ Question 5: $58^\circ$ Question 6: $79^\circ$
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cdefg ~ yuvwx. find ef and wx. write your answers as decimals or whole …
\( EF = 46 \) \( WX = 15 \)
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the measure of one angle of a right triangle is 30° more than the measu…
Smaller angle = $30^\circ$ Larger angle = $60^\circ$ --- ### Second Problem (Similar Triangles)
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question 2 if the measure of $\\angle cab = 106^\\circ$, then $\\angle …
$74$
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if the measure of $\\angle cab = 66^\\circ$, then $\\angle cad = \\squa…
$24$
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△qrs ~ △cdb. what is m∠d? m∠d = \\square°
$42$
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bcdef ~ kjihg. what is ( mangle d )? ( mangle d = square^circ )
75
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δtuv ~ δigh. find gi. gi =
3
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△qrs ~ △hig. what is m∠q? m∠q = \\square°
\( 90 \)
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$\\overline{yz} \\parallel \\overline{vx}$. find $wy$.
51
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x + 5 - 5 ○ 7 - 5
The symbol in the circle should be $=$, resulting in $x + 5 - 5 = 7 - 5$
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find gh. gh = submit
$44$
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segment \\(\\overline{ad}\\) is an altitude of \\(\\triangle abc\\). th…
C. Either statement is sufficient.
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which equation can be used to find the measure of angle ljk?\ \\(\\sin(…
$\boldsymbol{\sin(x) = \frac{10}{15}}$ (corresponding to the first option)
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find the value of x in the triangle shown below. x = \\boxed{\\space}^\…
$69.4$ (rounded to one decimal place, or $69^\circ$ if rounding to whole degrees)
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law of sines: \\(\\frac{\\sin(a)}{a} = \\frac{\\sin(b)}{b} = \\frac{\\s…
$\square k \approx 3.7$ units $\square$ KL $\approx 3.2$ units
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in the following figure, \\(\\overline{eb}\\) and \\(\\overline{dc}\\) …
$x=36$
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joe tried to prove that the sum of a triangles interior angle measures …
B. Angles ∠4 and ∠2 are not alternate interior angles, and neither are ∠1 and ∠5.
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which figure is a reflection of figure a? figure b figure c figure d
Figure C
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which figure is a reflection of figure a? figure b figure c figure d
D. Figure D
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find the value of ( x ) in the triangle shown below. ( x = square^circ …
$61$
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find the volume of each cone. round to the nearest tenth. (example 1) 1…
\( \approx3757.3 \) cubic mm ### Problem 2: Cone with radius 1.1 ft and slant height 3.8 ft (find height first)
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find the length of side ( x ) in simplest radical form with a rational …
\(6\sqrt{3}\)
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find the length of side x in simplest radical form with a rational deno…
\(18\)
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6. the parallelogram - shaped area below is being covered with carpet. …
It will cost $\$70.31$ (rounded to the nearest cent) to carpet the area.
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11) 12) 13) 14) 15) 16) 17) 18) 19) 20) 21) 22) 23) 24)
11) $x=\frac{3}{2}$, $y=\frac{3\sqrt{3}}{2}$ 12) $x=\frac{3}{2}$, adjacent leg $=\frac{3\sqrt{3}}{2}$ 13) $x=4\sqrt{3}$, $y=4$ 14) $x=3$, adjacent leg $=\sqrt{3}$ 15) $a=2\sqrt{3}…
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5. how many square feet of wallpaper will be used to cover a wall measu…
\( 164\frac{1}{4} \) square feet
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consider the line $y = \\frac{3}{7}x - 4$. find the equation of the lin…
Equation of perpendicular line: \( y = -\frac{7}{3}x + 24 \) Equation of parallel line: \( y=\frac{3}{7}x-\frac{6}{7} \)
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find the equation and slope of a line that is parallel to the y - axis …
Equation: \( x = 4 \) Slope: Undefined
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write a two - variable linear inequality to represent the graph.
\(y\geq x - 5\) (or \(x - y\leq5\))
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choose all that correctly graph the given inequality. a $y \\geq -5x - …
A. \(y\geq - 5x - 3\) (correct graph), B. \(y\leq3x + 2\) (correct graph), D. \(y\leq\frac{1}{5}x + 2\) (correct graph)
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△ abc ≅△ def df = 12, de = 10, m∠e = 117°, and m∠d = 27° what are the v…
$AC = 12$ $m\angle C = 36^\circ$
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#10 - 20 find the slope using the two coordinates. *answers in lowest t…
10) $\frac{-1}{2}$ 11) Undefined 12) $\frac{-7}{8}$
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21. apply math models is the ratio of length to width equivalent for th…
The ratios are not equivalent. The length-to-width ratio of the first rectangle is $\frac{3}{2}$ and the ratio of the second rectangle is $\frac{5}{4}$, which are not equal.
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suppose $\\triangle fde \\cong \\triangle vut$. which side of $\\triang…
\(\overline{FE}\) (corresponding to the option with \(\overline{FE}\))
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rotations (2023) graph the image of the figure using the transformation…
To solve these rotation problems, we use the following rules for rotating a point \((x, y)\) about the origin: ### Rotation Rules: - **\(180^\circ\) rotation**: \((x, y) \to (-x, …
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△abc has vertices a(0,0), b(5,-2), and c(-3,6). find the vertices of ab…
\((3, 11)\)
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which transformations would place triangle a on top of triangle d? sele…
180° rotation, translation, reflection
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which transformation would place triangle a on top of triangle b? □ 180…
translation (the option with the checkbox next to "translation")
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which transformations would place triangle a on top of triangle c? sele…
- reflection - translation - 180° rotation
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△abc has vertices a(0, 0), b(5, -2), and c(-3, 6). find the vertices of…
\((11, 3)\)
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4. the area of the rectangle is $10\\frac{5}{6}\\text{ in}^2$. what is …
Formula: \( A = b \times h \) Plug in Values: \( 10\frac{5}{6}=b\times4\frac{1}{3} \) Base: \( 2\frac{1}{2} \) in
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△abc has vertices a(8, 0), b(5, -2), and c(3, 6). find the vertices of …
(0, 4)
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△abc has vertices a(0, 0), b(5, -2), and c(-3, 6). find the vertices of…
\((6,5)\)
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do you remember how to find an angle? review with a quick check. two ed…
B. angle
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the following figure is a rectangle made up of two smaller rectangles. …
### Part (a) #### Light Rectangle (Left) # Explanation: ## Step1: Recall area of rectangle formula The area of a rectangle is given by \( A = \text{length} \times \text{width} \).…
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the following figure is a rectangle made up of two smaller rectangles. …
### Part (a) #### Light Rectangle (Left) # Explanation: ## Step1: Recall area of rectangle formula The area of a rectangle is given by \( \text{Area} = \text{length} \times \text{…
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write the coordinates of the vertices after a reflection over the y - a…
$Q'(-6, 0)$ $R'(-9, 0)$ $S'(-9, 2)$ $T'(-6, 2)$
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write the coordinates of the vertices after a reflection over the y - a…
$K'(-9, -1)$ $L'(-9, 5)$ $M'(-6, -2)$
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the point f(-3, 4) is reflected over the line y = x. what are the coord…
$(4, -3)$
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the parade will end by turning south at point h onto 14th street. what …
C. angle AHG (assuming the options are labeled A: angle EHG, B: angle EHA, C: angle AHG, D: angle BED; if labels differ, adjust, but the correct angle is angle AHG) (Note: Since t…
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if the parade were to continue from point e through and beyond point a,…
B. ray