幾何
三角形、圓、解析幾何與證明題。
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reflect: confidence check drag the point to show how confident you are …
- **Central Angles**: Measure equals its intercepted arc's measure. - **Inscribed Angles**: Measure is half its intercepted arc's measure. - **Angles in a Semicircle**: Inscribed …
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find the value of ( x ).
$87.5^\circ$ Wait, correction: The central angle is equal to the measure of its intercepted arc. Wait, no, the arcs GF and HJ are 105 and 80, so the arcs FJ and GH are the remaini…
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summer looked at the formula for the pythagorean theorem, $a^2 + b^2 = …
D. No, a and b are interchangable, and c is the longest side.
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3) $\\triangle def \\sim \\triangle duf$ a) similar, sss similarity b) …
s: 3) d) similar; SAS similarity 4) a) not similar
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error analysis a teacher asked a student to find the area of this paral…
The correct area is \( \boxed{192} \, \text{cm}^2 \). The student likely used an incorrect base - height pair (maybe used the slant side and an incorrect length for calculation) i…
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find the value of x. note that ab = 15, bc = 9, and cd = x.
$x=16$
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summer looked at the formula for the pythagorean theorem, $a^2 + b^2 = …
D. No, a and b are interchangeable, and c is the longest side.
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find the value of ( x ). note that ( ab = 2 ), ( bc = x ), and ( cd = 3…
\(x=1\)
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6 use the diagram to answer the questions below. round to the nearest h…
s: - Perimeter of $\triangle CDE$: $\boxed{9.66}$ - Perimeter of rectangle $BCEF$: $\boxed{16.98}$
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what are the solutions for $-3x - 24 \\leq - 36$? x $\\boldsymbol{\\big…
\( x \geq 4 \) (So the symbol is \( \geq \) and the number is 4)
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a rectangular region is removed from another rectangular region to crea…
$91$
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find the value of ( x ). note that ( ab = x ), ( bc = 9 ), and ( cd = 1…
15
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if on = mn, find mn. a. 4 b. 5 c. $4\\sqrt{2}$ d. $4\\sqrt{30}$
$$x^3+7x^2-32x-224=0$$ $$x^2(x+7)-32(x+7)=0$$ $$(x^2-32)(x+7)=0$$ $$x^2=32 \to x=4\sqrt2$$ So answer is C. $4\sqrt2$, but option B is 5. I must have misread the diagram: maybe LO=…
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adawi geometry practice 6 - 3 name date__________ period state if the t…
b) similar; AA similarity ### Problem 2: $\triangle QRS$ and $\triangle EDC$ (Wait, the labels: $\triangle EDC$ and $\triangle QRS$? Wait the left triangle is $\triangle EDC$ with…
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a 12 - foot ladder rests against the side of a house. the base of the l…
B. 11.6 feet
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the figure below shows a rectangular window. (a) use the calculator to …
(a) Area: $2048$ square inches Perimeter: $192$ inches (b) Area (c) Perimeter
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the original shape before any transformations are applied is called the…
preimage ### Second Question:
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find the expression that represents the length of the hypotenuse of a r…
A. $\sqrt{4x^{4}+y^{4}}$
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1. in math, the word dilate means to __________________ or ____________…
enlarge; reduce ### Question 2
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3 find the perimeter of the shape in the coordinate plane. round to the…
The perimeter of the shape is approximately \(\boldsymbol{12.93}\).
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the line over which a geometric shape is flipped during a reflection is…
line of reflection ### Second Question:
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there are three ways of describing an interval. for the interval descri…
Correct graph: A. (Graph with open circle at -6, arrow left) Interval notation: $(-\infty, -6)$
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apply: circle problem #8 ab is a diameter of this circle. what is the v…
42
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the figure below is composed of several triangles. use the given inform…
To solve for the angle measures, we'll use the given congruencies and properties of triangles (e.g., equilateral triangle has all angles \(60^\circ\), isosceles triangles have equ…
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find the unknown side length, x. write your answer in simplest radical …
B. $4\sqrt{37}$
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find the expression that represents the length of the hypotenuse of a r…
D. $m^2 + n^2$
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the figure below shows a rectangular field. (a) use the calculator to f…
(a) Area: $1998$ square yards Perimeter: $202$ yards (b) Area (c) Perimeter
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the length of a rectangular painting is 3 inches longer than its width.…
B. 12 inches
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analyze the diagram below and complete the instructions that follow. fi…
D. 65
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3 find the perimeter of the shape in the coordinate plane. round to the…
To solve this, we first determine the coordinates of points \( A \), \( B \), and \( C \) from the grid. Let's assume the grid has each square with side length 1. ### Step 1: Iden…
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draw each of the images described in the steps below. step 1: first, re…
To draw the final figure: 1. Reflect the original triangle across the \( y \)-axis to get a triangle with vertices (3, 4), (2, 4), (3, 5). 2. Dilate this reflected triangle with c…
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write a program that has tracy draw a rectangle. your rectangle should:…
```python # Tracy starts facing right by default forward(50) right(90) forward(100) right(90) forward(50) right(90) forward(100) right(90) ```
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if a, b and c are all positive integers in a right triangle, they form …
T. True
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if \\(sqrt{61}\\) is the longest side length in the triangle, find the …
A. 5
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a line that runs vertically on the coordinate plane and is used as a re…
y - axis ### Second Question:
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the new shape created after a transformation, such as a reflection or t…
image ### Second Blank:
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in the right triangle above, ( a = 9.9 ) and ( c = 12.4 ). find the val…
C. 7.5
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the area of the triangle below is 25.37 square feet. what is the length…
8.6 feet
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what is the area, in square centimeters, of the shape below? 7.4 cm 9.4…
34.78
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what is the area, in square centimeters, of the shape below? express yo…
$\frac{4}{5}$ cm²
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the area of the triangle below is 5.89 square meters. what is the lengt…
3.8 m
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analyze the diagram below and complete the instructions that follow. in…
B. $c=5.1$
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what is the area, in square feet, of the shape below? express your answ…
$\frac{2}{25}$ square feet
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name: block: date: math 8 u5, l15 - volume of a cone 5.15 exit ticket a…
The volume of the cylinder is \( 12\pi \) and the volume of the cone is \( 12\pi \).
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#1) write the letters a, b, c, d, e, f and g in the correct part of the…
The measure of angle \(X\) is \(98^\circ\). ### #4 Solution:
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20. windows the shape of a boat window is a parallelogram. the four ver…
Perimeter: \(\approx76.2\) inches, Area: \(360\) square inches
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if $tu = 8y - 78$, $sv = y + 58$, and $rw = 2y + 66$, what is the value…
\(16\)
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quadrilateral bcde is an isosceles trapezoid, $bd = a + 97$, and $ce = …
\( 72 \)
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a 16 foot ladder rests against the side of a house and the base of the …
A. 15.5 feet
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find the measure of the missing angle. answer attempt 2 out of 2 a = su…
$52^\circ$
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a rectangular bookcase 60 inches long and 30 inches wide. how long is t…
B. 67 inches
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what is the area, in square meters, of the trapezoid below? 13.1 m 8 m …
82 square meters
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what is the area, in square centimeters, of the isosceles trapezoid bel…
$84.8$ square centimeters
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9. construct arguments describe a way to show that quadrilateral abcd i…
To show \(ABCD \cong A'B'C'D'\): 1. **Identify Shapes**: Both are rectangles (all angles \(90^\circ\)). 2. **Compare Side Lengths**: - \(AB = 2\), \(A'B' = 2\) (horizontal sides).…
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find the value of ( x ). note that ( be = 12 ), ( ce = 15 ), ( de = x )…
$x = 12.8$ or $\frac{64}{5}$
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3 what is one reason someone might say this figure is not a circle? dra…
One reason is that the distance from the center to the edge (radius) is not the same in all directions (e.g., horizontal and vertical radii are different), so it doesn't meet the …
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$overline{tv} cong overline{su}$, $overline{sw} parallel overline{tv}$,…
The reasons for each statement are filled as above, and the final conclusion is that \(\overline{TU} \cong \overline{SV}\) is proven by CPCTC after showing \(\triangle SUV \cong \…
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directions: use the law of sines to find each missing side or angle. ro…
\(x\approx19.9\)
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topic 3: geometric applications 16. find the perimeter and area of the …
16. Perimeter: $8x^2y + 26x$; Area: $52x^3y$ 17. Area: $33a^5b$
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$\\overline{uw} \\cong \\overline{vx}$. complete the proof that $\\over…
Given
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20. plot all points that fall on the line $y = \\frac{2}{3}x + 4$
Key points on the line include $(0, 4)$, $(3, 6)$, and $(-3, 2)$. Draw a straight line through these points to plot all points on $y=\frac{2}{3}x+4$.
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lets check in the given lengths are two sides of a right triangle. all …
C. 48 leg
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$overline{uw} cong overline{vx}$. complete the proof that $overline{vw}…
1. Given 2. Opposite sides of a parallelogram are parallel 3. Opposite sides of a parallelogram are parallel 4. Opposite sides of a parallelogram are congruent 5. Reflexive proper…
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q2: was it the rise of islam or innovations in trade that further conne…
### Argument for YOUR side (innovations in trade) Trade innovations like the use of caravanserais, new forms of credit (e.g., bills of exchange), and the expansion of trade networ…
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which of the following is not a pythagorean triple? a. 15, 36, 39 b. 24…
C. 21, 72, 76
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for each line, you are asked to click in a box of a given length on the…
1. For 1 kilometer: Click the box above the position between $1/2 \text{ mi}$ and $1 \text{ mi}$ (closer to $1/2 \text{ mi}$) 2. For 1 mile: Click the box above the position betwe…
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write the equation of the line in fully simplified slope - intercept fo…
$y=\frac{2}{5}x+5$
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plot these four points on the coordinate plane. a(-7,5), b(-4,-5), c(6,…
- Point \( A(-7,5) \): x = - 7, y = 5 (left 7, up 5 from origin). - Point \( B(-4,-5) \): x = - 4, y = - 5 (left 4, down 5 from origin). - Point \( C(6,-2) \): x = 6, y = - 2 (rig…
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v is the midpoint of \\(\\overline{rt}\\) and \\(\\overline{su}\\). com…
Statement: \(\boldsymbol{\overline{TU} \parallel \overline{RS}}\) Reason: Alternate Interior Angles Theorem
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figure x is the result of a transformation on figure w. which transform…
A reflection over the y -axis
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which triangle is similar to $\\triangle abc$ if $\\sin(a) = \\frac{1}{…
The triangle \(XYZ\) (the fourth triangle with \(X\), \(Y\), \(Z\) where \(Z\) is the right - angle, \(YZ = 6\), \(XZ=6\sqrt{15}\), \(XY = 24\))
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$\\overline{xy} \\parallel \\overline{wz}$, $\\overline{wx} \\parallel …
Statement: \(\boldsymbol{\angle Y \cong \angle V}\) Reason: Transitive Property of Congruence (or Alternate Interior Angles and Transitive Property, but more precisely, since \(\a…
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jack says $g^2 + h^2 = j^2$ represents the pythagorean theorem for a ri…
First "Select Choice": \(j\) Second "Select Choice": legs Third "Select Choice": hypotenuse (Explanation: The Pythagorean Theorem is \(a^{2}+b^{2}=c^{2}\) where \(c\) is the hypot…
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identify transformations (rigid motions) question figure ( mnop ) is th…
A rotation 180° clockwise about the origin
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the height of the equilateral triangle shown divides the triangle into …
6.9
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find the unknown side length x. write your answer in simplest radical f…
B. 40
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a fence is being built for a triangular plot of land. how much fence is…
70
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phrases preposition relates the prepositional phrase is a with it to an…
## Practice A Corrected Answers: 1. in the (missing word, e.g., cabinet) 2. of the book 3. at sunrise 4. at seven o'clock 5. in the basket 6. in Thailand 7. under rocks 8. around …
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statement reason \\(\\overline{ac} \\perp \\overline{bd}\\) \\(\\angle …
A triangle with two congruent sides is isosceles (or Definition of isosceles triangle)
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a right triangle has a base of 12 units and a hypotenuse of 18 units. w…
\(\boldsymbol{\sqrt{180}}\) units (the option: \(\boldsymbol{\sqrt{180}}\) units)
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question 2 a right triangle has legs m and n and hypotenuse p. using th…
C. \( m = \sqrt{(p^2 - n^2)} \) (assuming the third option is labeled C; if the original options were labeled as per the image, the correct option is the one with \( m = \sqrt{(p^…
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find the area of each triangle. 1) area = 2) area = 3) area = 4) area =…
s: 1) \( 7.2 \) m² 2) \( 3.85 \) ft² 3) \( 11.04 \) yd² 4) \( 11.13 \) ft² 5) \( 16.65 \) yd² 6) \( 8.5 \) m² 7) \( 17.42 \) yd² 8) \( 21.07 \) in² 9) \( 71.98 \) ft²
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what is the value of x? x = \\boxed{}
$50$
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which equation can you use to find the value of ( x )?( x + 30 + 105 = …
$x = 45$
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find the slope of the line graphed below.
$-\frac{2}{3}$
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find the slope of the line graphed below.
\(\frac{3}{5}\)
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solve for ( x ). round to the nearest tenth, if necessary.
\( x \approx 7.3 \)
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find x. then plug x in and find the measure of angle abc. what is the m…
112
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58. m∠ace = m∠acd = m∠bcf =
\( m\angle ACE=\boldsymbol{78^\circ} \), \( m\angle ACD=\boldsymbol{75^\circ} \), \( m\angle BCF=\boldsymbol{90^\circ} \)
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solve for x. (3x + 5) 65 x = 10 x = 20 x = 40 x = 90
x = 20 (corresponding to the option "x = 20")
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guided practice do you understand? 1. draw a picture to explain how to …
To find \(3\times\frac{2}{5}\) using a picture: ### Step 1: Represent \(\boldsymbol{\frac{2}{5}}\) Draw a rectangle (or circle) and divide it into 5 equal parts. Shade 2 of these …
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question 7 10 points what kind of transformation is used to create a bu…
A. dilation
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use fraction circle pieces. the red circle is the whole. make two diffe…
### First Combination (1) # Explanation: ## Step1: Choose fraction pieces We can use two $\frac{1}{2}$ fraction circle pieces. A $\frac{1}{2}$ piece represents half of the whole r…
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analyze the diagram below and complete the instructions that follow. fi…
D. 27
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look at triangle abc. what are the coordinates of the image of point b …
A. (-3, 3)
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zohar is using scissors to cut a rectangle with a length of $5x - 2$ an…
C. \( 2(5x - 2)+2(3x + 1) \); 62 centimeters (assuming the options are labeled as A, B, C, D with C being the third option as per the order: first option is A, second B, third C, …
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the altitude to the hypotenuse of a right triangle divides the hypotenu…
C. $3\sqrt{6}$
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21. the bottom of a circular swimming pool has an area of 200.96 square…
The radius of the swimming pool is 8 feet. ### Question 22:
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analyze the diagram below and complete the instructions that follow. id…
A. $\triangle ABC, \triangle BDA, \triangle BCD$
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21. the bottom of a circular swimming pool has an area of 200.96 square…
The radius of the swimming pool is 8 feet.