幾何
三角形、円、座標幾何、証明問題。
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question 4 (5 points) identify the composition with rotation to map δab…
A) Reflection across the x-axis; 270° counterclockwise rotation about the origin
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question 1 (5 points) listen what are the resulting coordinates of tria…
B) D'(-1, 4), E'(-3, 1), F'(-5, 2)
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angle relationships complementary angles are angles whose measures add …
$m\angle1 + m\angle2 = 90^\circ$ $m\angle3 + m\angle4 = 90^\circ$
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angle relationships supplementary angles are angles whose measures add …
# Explicación: ## Paso 1: Aplicar definición de ángulos suplementarios Los ángulos suplementarios suman $180^\circ$. Para el primer par: $m\angle 1 + m\angle 2 = 180^\circ$ ## Pas…
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question 2 (5 points) listen triangle xyz has vertices x(2,4), y(3,4) a…
## Question 2: D) $X''(-4,8), Y''(-6,8), Z''(-6,16)$ ## Question 3: A) $(x, y) \to (x+7, y-8)$
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18. the equation of line ( h ) is ( 2x + y = 1 ). line ( m ) is the ima…
(2) \( y = - 2x + 4 \)
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question 9 (5 points) identify the algebraic description that maps a po…
D) $(x, y) \to (x - 8, y)$ D) $Q'(2, 4), R'(6, 8), S'(10, 12), T'(4, 14)$
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question 13 (3 points) triangle abc is rotated about the origin by 270°…
B) $\Delta ABC$ and $\Delta A''B''C''$ are congruent triangles. A) $(-3, 2)$
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17. a regular pentagon is shown in the diagram below image of a regular…
(2) \( 72^\circ \)
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question 17 (5 points) rectangle efgh is reflected across the origin an…
A) $E''(-1, 5), F''(-1, 1), G''(-4, 1), H''(-4, 5)$
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3) obtuse 6) acute 9) se and one right angle.
3) Obtuse 6) Acute 9) Obtuse
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question 18 (5 points) listen choose the algebraic description that map…
A) $(x, y) \to (x + 4, y + 8)$
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question 19 (5 points) circles c and c are similar. state the translati…
A) To obtain C', circle C is translated to the left three units and up two units and is dilated with a scale factor of $1/2$.
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identify the transformation that results in an image thats not congruen…
C) Dilation
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answer the questions about the figures below. figure a 4 mm 2 mm 4 mm 2…
(a) Figure B, Figure C (b) Figure A, Figure B, Figure C (c) Figure C
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solve δabc. give lengths to the nearest tenth. give angle measures in d…
1. $B = 47^\circ$, $b \approx 15.5$, $c \approx 18.7$ 2. $A \approx 49^\circ 27'$, $B \approx 22^\circ 1'$, $C \approx 108^\circ 32'$ 3. $A = 35^\circ$, $b \approx 19.7$, $c = 12.…
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what is the measure of $\\angle rcp$ in the figure below? figure with r…
E. \( 70^\circ \)
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what is the measure of $\\angle rcp$ in the figure below? figure with r…
E. \( 70^\circ \)
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8. m∠1 = ______ m∠2 = ______ m∠3 = ______ 9. l || m m∠1 = ______ m∠2 = …
## Problema 8 $m\angle 1 = 64^\circ$, $m\angle 2 = 26^\circ$, $m\angle 3 = 36^\circ$ ## Problema 9 $m\angle 1 = 73^\circ$, $m\angle 2 = 58^\circ$, $m\angle 3 = 73^\circ$, $m\angle…
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i) (-99, 38) & (-99, 722)
The distance between the two points \((-99, 38)\) and \((-99, 722)\) is \(684\).
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a 3d rectangular prism made of unit cubes. the options are: 30 cubic un…
30 cubic units
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solve the following system of inequalities graphically on the set of ax…
A point in the solution set is $(0, -5)$ (any point in the overlapping shaded region is valid)
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hw - jan 8 - converting radians to degrees maze start $\frac{pi}{18}$ $…
To solve the maze, we convert radians to degrees using the formula \( \text{Degrees} = \text{Radians} \times \frac{180^\circ}{\pi} \). Let's go step by step: ### Step 1: Start wit…
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how many line segments are shown in the drawing? number of line segment…
5 (Wait, no, I think I was wrong. The correct answer is 5? No, 6. I'm confused. Wait, maybe the image shows 5. Let me check again. The shape: left (1), top (2), right top (3), rig…
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sketch the graph of the following circle. ((x - 4)^2 + (y - 5)^2 = 64) …
\((4, 5)\) ### Part (b)
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finding side lengths find the unknown side length. simplify answers tha…
The unknown side length is $8\sqrt{3}$. The side lengths do not form a Pythagorean triple.
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finding side lengths find the unknown side length. simplify answers tha…
The unknown side length is $8\sqrt{3}$. The side lengths do not form a Pythagorean triple.
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angle relationships vertical angles are formed by two intersecting line…
$\angle 2$
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angle relationships boom cards adjacent angles are: angles that share a…
Angles that share a common vertex and side.
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in δmno, \\(\\overline{mn} \\parallel \\overline{pq}\\). given that \\(…
25
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a) create a segment addition equation to find the length of bc, then b)…
s: a) The Segment Addition equation is \( 22 + x = 61 \) (where \( x \) is the length of \( BC \)). b) The value of \( x \) is \( \boldsymbol{39} \).
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9. proof $overline{ac} cong overline{gi}$, $overline{fe} cong overline{…
(10a two - column proof filled): | Statement | Reason | | --- | --- | | 1. $\overline{PQ}\cong\overline{RS}$ | 1. Given | | 2. $PQ = RS$ | 2. Definition of congruent segments | | …
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18. mjhs is refinishing the basketball court and decided to paint every…
Approximately \( 189.27 \) square feet (or \( 150 + \frac{25\pi}{2} \) square feet)
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13. jackie always sat in the front row because she liked to focus on th…
These appear to be sentence correction problems (likely for grammar, such as comma splices, run - on sentences, or incorrect conjunctions). Let's take problem 13 as an example: ##…
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26. the two triangles below are similar. what is the perimeter of trian…
The perimeter of triangle \( XYZ \) is \( 24 \, \text{cm} \).
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choose the graph of the inequality -3 > x. choose 1 answer: a: number l…
D. <graph with open circle at -3 and arrow pointing left to negative infinity>
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choose the graph of the inequality -1 > x. choose 1 answer: a (number l…
D. <The number line with an open circle at -1 and shading extending to the left towards -5>
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lesson 2 homework date period the diagram shows measurements for $\\tri…
# Explanation: ## Step 1: Analyze $\triangle WNB$ For $\triangle WNB$, the opposite side to $\angle N$ is $WB = 5$, hypotenuse is $WN = 6.5$, and adjacent side is $BN = 6$. - $\si…
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23. triangle abc is shown below. its original lengths are multiplied by…
The new perimeter of \( A'B'C' \) is \( 75 \, \text{cm} \).
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3. use the graph shown to complete each statement below a. give a verba…
a. Verbal description: Reflection over the y-axis b. Algebraic representation: $(x,y) ightarrow (-x,y)$ c. - Size of the figure: Stayed the same - Orientation of the figure: Chang…
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practice write an equation for each line. express each equation in stan…
s: a. $x - y=3$ b. $9x-2y=-10$ c. $y = 10$ (or $0x + y=10$) d. $x=10$ (or $x - 10=0$ or $1x+0y=10$)
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what is the area of the triangle? 0.6 m, 0.4 m, 0.3 m (with a right - a…
\( 0.06 \)
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hapes and scale drawings. 22. shelby drew a map of the appalachian trai…
The actual length of the Appalachian Trail is 3500 kilometers.
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i can solve problems involving similar shap21. the photo below is being…
The scale factor is \( 6 \).
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how can you show that the interior angles of $\\triangle qrs$ have a su…
- Angle QSR and ∠QST are \boxed{supplementary}, so the sum of their angle measures is \boxed{180} degrees. The measure of ∠QSR is \boxed{110} degrees. So, the sum of the measures …
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find the slope of each line. 1) 3) 5)
\(\frac{-7}{3}\) ### Problem 3:
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13. a figure skater prepares for her performance by skating 6 laps in a…
The figure skater traveled \( 360\pi \) (or approximately 1130.4) feet.
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2. practice graph each line below. a. $y = -\\frac{3}{4}x - 4$ b. $-3x …
### Part a: Graph \( y = -\frac{3}{4}x - 4 \) # Explanation: ## Step 1: Identify slope and y-intercept The equation is in slope - intercept form \( y=mx + b \), where \( m =-\frac…
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a circle is centered on point b. points a, c and d lie on its circumfer…
\(61\)
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a circle is centered on point b. points a, c and d lie on its circumfer…
\(40\)
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12. the circumference of a circle is 28.26 cm. what is the radius? $c =…
The radius of the circle is \( 4.5 \) cm.
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there is a right triangle k l m, with a right angle at l. angle at k is…
To solve this, we analyze the right triangle \( \triangle KLM \) (with \( \angle L = 90^\circ \)) and the straight line \( MN \) (so \( \angle KML + 137^\circ = 180^\circ \), henc…
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six graphs are shown below. click on the tabs to see them. graph 1 grap…
Graph 1: \(\boldsymbol{\square}\) (unchecked, since it is not a function) (Note: For other graphs, we need to analyze them similarly, but only Graph 1 is visible here.)
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find the slope of the line passing through the points (-6, -5) and (4, …
\(\frac{9}{10}\)
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use what youve learned about the volume of cylinders to answer each que…
7. 7 inches 8. 5 feet 9. 14.14 cubic meters 10. Beau's water bottle holds more water; it holds 63.64 cubic inches more.
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from little journeys to the homes of the great, vol. 3: little 1. \tnin…
C. Unfamiliar
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3) matt drove his car 40 miles due east. from there, he veered off at 5…
\(75.6\)
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what is the area of the shaded region? 29 mi 15 mi 21 mi 39 mi write yo…
408
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question find m∠gfe. (there is a triangle feg with fe and fg marked as …
\( 64^\circ \)
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the movement of the progress bar may be uneven because questions can be…
B
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question find m∠dcb. (there is a triangle with vertices b, c, d. sides …
\( 86^\circ \)
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Question was provided via image upload.
1. A. $130^\circ$ B. $80^\circ$ C. $140^\circ$ D. $50^\circ$ 2. $\angle AFB$ and $\angle AFD$ $\angle AFC$ and $\angle AFB$ $\angle AFD$ and $\angle DFE$ 3. $\angle BFC$ and $\ang…
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complementary and supplementary angles 1. underline the measure of each…
1. - A. $130^\circ$ - B. $100^\circ$ - C. $80^\circ$ - D. $60^\circ$ 2. - $\angle AOB$ and: None - $\angle AOD$ and: $\angle AOC$ - $\angle AOE$ and: None 3. - $\angle AOC$ and: N…
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what can you say about the angle measures in $\\triangle abc$? triangle…
∠ACB measures \(82^\circ\), because the sum of the measures of ∠ACB and ∠ACD is \(180^\circ\). The sum of the measures of ∠BAC, ∠ABC, and ∠ACB is \(180^\circ\). This proves that t…
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on the number line below. $-4x \\leq -8$
The solution to the inequality is $x \geq 2$. For the number line graph: closed circle at 2, shaded to the right.
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e, and 2 centimeters high. what is the ume of the box? hat is the volum…
1. (Incomplete question: missing length and width values, cannot calculate volume) 2. $28$ cubic centimeters 3. $56$ cubic feet
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what is the area of the composite figure? image of composite figure wit…
A. 100 square inches
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calculate the area of the composite figure given below. enter the value…
38
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18. if ad = 24, db = 27, and eb = 18, find ce.
16
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read the following passage, which is modeled after an encyclopedia entr…
patted into thin circles
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ne area of the following figure and write your in the empty box. figure…
$434$
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a (a pink rectangle with length 5 cm and width 3 cm) b (a brown right -…
A. The rectangle with dimensions 3 cm and 5 cm
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8. x√2 = 19√2 · √2 19√(2·2) = 19√4 √4 √2 = (right triangle with right a…
If we follow the calculation \(19\sqrt{2}\times\sqrt{2}=19\times2 = 38\), and if we assume the equation was to find \(x\) when \(x\sqrt{2}=19\sqrt{2}\times\sqrt{2}\), then \(x = 3…
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find the missing length of the following figure if the area of the shad…
4
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graphing inequalities graph the inequality. 3. ( a geq -12 ) 4. ( x leq…
1. For $a\geq -12$: Closed circle at $-12$, shade right. 2. For $x\leq -7$: Closed circle at $-7$, shade left. 3. For $w<5$: Open circle at $5$, shade left. 4. For $d>13$: Open ci…
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a rectangle is placed around a semicircle as shown below. the width of …
\( 1.72 \) square centimeters (or \( 1.72 \, cm^2 \))
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for 16 - 17, determine whether $overleftrightarrow{jk} parallel overlef…
16. no 17. yes
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find the missing length of the following figure (the area of the figure…
4 mm.
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which of the following figure has the greate a 9 m 9 m b 6 m 10 m 10 m …
B. The trapezoid (figure B)
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find the cosine of ∠e. f 12 d 5 e simplify your answer and write it as …
\( \frac{5}{13} \)
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24. a circle is inscribed in a square so that the circle touches each s…
a. \( 5\pi \) cm
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find the area of the shaded region of the triangle giver the appropriat…
The second triangle (right triangle with legs 8 yd and 9 yd) has an area of 36 square yards, so this is the shaded region matching the given result.
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find the area of the figure given below and write your answer in the em…
$260 + 84 = 344$ $\text{cm}^2$
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the radius of a quarter circle is 4 kilometers. what is the quarter cir…
12.57 square kilometers
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the radius of a circle is 17 meters. what is the circle’s circumference…
106.81 meters
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given: \\(\\overline{ab} \\cong \\overline{cd}\\), \\(\\overline{ad} \\…
The reason for \( \overline{AF} \cong \overline{CE} \) is the **Addition Property of Congruence** (or "Segment Addition Postulate and Addition Property of Congruence") because we …
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step statement reason - abcd is a parallelogram 1 (overline{bg} cong ov…
Corresponding Parts of Congruent Triangles are Congruent (CPCTC)
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find the area of the following polygon given in the first column a. a s…
a. $36\ \text{cm}^2$ b. $40\ \text{in}^2$ c. $70\ \text{ft}^2$ d. $13.5\ \text{m}^2$
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step statement reason abcd is a parallelogram bg ≅ dh given ae ≅ fc ef …
The reason for $\triangle CGE \cong \triangle AHF$ is the Side - Angle - Side (SAS) Congruence Postulate (i.e., if two sides and the included angle of one triangle are congruent t…
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step statement\treason 1\tabcd is a parallelogram \t\\overline{bg} \\co…
Alternate Interior Angles Theorem (or: If two parallel lines are cut by a transversal, then alternate interior angles are congruent)
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21. the length of a rectangular fence is 20 feet and the width is 10 fe…
c. 15 feet
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given: abcd is a parallelogram, \\(\\overline{bg} \\cong \\overline{dh}…
To prove \( \overline{GE} \cong \overline{HF} \), we use properties of parallelograms (opposite sides parallel and congruent) and congruent segment addition/subtraction, then tria…
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the diameter of a circle is 26 yards. what is the circle’s circumferenc…
81.68 yards
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the radius of a circle is 13 centimeters. what is the circles circumfer…
81.68 centimeters
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question given: (abcd) is a parallelogram, (overline{bg} cong overline{…
The reason for step 5 (\(AH \cong CG\)) is "Congruent segments subtracted from congruent segments form congruent segments" (since \(AD \cong BC\) and \(DH \cong BG\), so \(AD - DH…
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the circumference of a circle is 56.52 centimeters. what is the circles…
9.00 centimeters
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question given: abcd is a parallelogram, \\(\\overline{bg} \\cong \\ove…
For the step where we prove \( \overline{AF} \cong \overline{CE} \), the reason is "Segment Addition Postulate and Addition Property of Congruence (or: If \( \overline{AE} \cong \…
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select the correct shapes. select all of the shapes that have at least …
The pink square, the purple right triangle. (In boxed form for the shapes: \(\boxed{\text{Pink Square}}\), \(\boxed{\text{Purple Right Triangle}}\))
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given: abcd is a parallelogram, ∠gec ≅ ∠hfa and \\(\\overline{ae} \\con…
The reason is "Angle - Side - Angle (ASA) Congruence Criterion" (or simply "ASA" as the reason for triangle congruence).
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thought provoking is the composition of a rotation and a dilation commu…
sometimes; As long as the center of dilation and the center of rotation are the same, the composition of a rotation and a dilation is commutative.