几何
三角形、圆、解析几何与证明题。
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test the statement to see if it is reversible. if so, write it as a tru…
A. A figure is a triangle if and only if the figure has three sides.
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range for continuous relations remember: ≤ \less than or equal to\ ≥ \g…
Domain: $-3 \leq x \leq 3$ Range: $-3 \leq y \leq 3$ Function? No, because a vertical line intersects the graph at more than one point (fails Vertical Line Test). ### Problem 2 (L…
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graph the set {x | x > -3} on the number line. then, write the set usin…
- **Graph**: Open circle at -3, arrow to the right. - **Interval Notation**: \((-3, \infty)\)
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lost! by janelle aaker “peanut!” rosalyn yelled hoarsely for the fiftie…
### Completing the Chart: | What Happens | How Rosalyn Responds | | --- | --- | | Peanut gets lost. | Rosalyn is upset because Gram loves Peanut. | | Rosalyn worries about getting…
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10 fill in the blank 6 points graph the image of the triangle below usi…
To solve the problem of graphing the image of the triangle with a scale factor of \( k = \frac{3}{4} \), we follow these steps: ### Step 1: Identify the Coordinates of the Origina…
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figures that have the same shape but different sizes, with proportional…
similar ### Second Question:
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solve for x. round to the nearest tenth of a degree, if necessary.
\( 44.9^{\circ} \)
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write equations for the vertical and horizontal lines passing through t…
vertical line: \( x = 0 \) horizontal line: \( y = 3 \)
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find the measure of each side indicated. round to the nearest tenth. 9)…
\( x\approx13.8 \) ### Problem 10:
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determine if the conditional is true or false. if it is false, find a c…
B. The conditional is false. An angle that measures 75 degrees is also acute.
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10. soo-jin is installing carpet in a den. using the floorplan below, c…
\boxed{73} (approximate, depending on the exact calculation)
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write a conditional statement that the venn diagram to the right illust…
D. If an object is a banana, then the object is a fruit.
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20. a square sandbox has an area of 75 square feet. estimate the length…
Approximately 8.66 feet (or we can estimate it to be about 9 feet or 8.7 feet depending on the level of estimation needed, but the more precise estimate from the square root is ar…
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a transformation that changes the size of a figure but keeps its shape …
dilation ### 2. Second Question
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give the new coordinates for dilating graph the image of the rectangle …
To solve the problem of dilating the rectangle with a scale factor \( k = \frac{5}{2} \), we first need the original coordinates of the rectangle's vertices. Let's assume the orig…
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what is the shading style of the twenty - third figure in the sequence …
First, identify the pattern in the sequence. Let's list the figures with their positions: 1: Unshaded (Circle) 2: Filled (Triangle) 3: Striped (Square) 4: Unshaded (Star) 5: Fille…
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fill in the blank 6 points give the new coordinates for dilating graph …
To solve the problem of dilating the rectangle with a scale factor \( k = \frac{5}{2} \), we first need the original coordinates of the rectangle's vertices. Let's assume the orig…
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solve for x. round to the nearest tenth, if necessary.
\( \boxed{175.8} \)
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solve for x. round to the nearest tenth, if necessary.
\( 54.5 \)
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grade 10 geometry district formative assessment – extended response nam…
c) Consecutive Interior Angles Theorem ### Question 2
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find the value of st if point s is between r and t, rs=16, st=2x, and r…
\( 4 \)
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solve for x. round to the nearest tenth, if necessary.
\(6.7\)
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graph the image of the triangle below using a scale factor of k = 4. wr…
4 (or 8, depending on the specific side; adjust based on original triangle dimensions)
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a city planner creates a scaled map of a residential area. the actual a…
d. 16 meters ### Second Question (Scaled Building Height)
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predict the number of squares in the next figure.
To determine the number of squares in the next figure, we analyze the pattern: - First figure: \( 1 \) square (a single square). - Second figure: \( 1 + 4 = 5 \) squares (1 center…
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match the following segment a location in space point a part of a line …
- POINT: A location in space - RAY: A part of a line that has a starting point and extends infinitely in one direction - SEGMENT: A part of a line that has two endpoints - LINE: A…
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a map is scaled with 1 cm : 400 m. if a road measures 4.5 cm on the map…
b. 1800 m ### Second Question (Effect of Proportional Relationships in Scale Drawings)
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first and last name date english language arts advisory subject legacy …
b. The Giver by Lois Lowry ### Question 2 (taking the choice from question 1 as an example)
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what is the slope of the line through (6, 9) and (7, 1)? choose 1 answe…
A. \(-8\)
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find one counterexample to show that the conjecture is false. ∠1 and ∠2…
D. \( m\angle1 = 90^\circ \) and \( m\angle2 = 90^\circ \)
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3 fill in the blank 8 points give the new coordinates for dilating rect…
\(P'(4,12)\) \(Q'(12,12)\) \(R'(12,8)\) \(S'(4,8)\)
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a bridge is 1200 meters long and is being scaled down by a factor of 0.…
d. 24 meters ### Second Question:
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a rectangle with dimensions of 6 feet by 9 feet is scaled by a factor o…
a. 18 feet by 27 feet ### Second Question:
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fill in the blank 8 points give the new coordinates for dilating quadri…
The new coordinates of the vertices after dilation are \(A(-12, 3)\), \(B(-6, 9)\), \(C(0, -6)\), and \(D(-15, -6)\).
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andy was given a line segment. he constructed a line segment bisector o…
5.8 cm
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rotation: a rotation turns a point around a fixed point called the cent…
The rotated triangle \( A'B'C' \) is drawn by rotating each vertex of \( ABC \) 90° clockwise around point \( m \) using the rotation formula for coordinates and then connecting t…
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aleph constructed \\( \\overrightarrow{zr} \\), a line segment bisector…
B. Point \( Z \) is the midpoint of \( \overline{XY} \). \( ZY = 11 \) units.
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use the new coordinates by dilating quadrilateral abcd with vertices a(…
To determine the new \( x \)-coordinate of point \( C \) after the dilation of quadrilateral \( ABCD \), we first identify the scale factor of the dilation. Looking at the coordin…
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geometry basics constructing segments nozomi constructed a copy of \\(\…
The measure of $\overline{AC}$ is 44.6 millimeters.
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wei constructed \\(\\overline{cd}\\) as a copy of \\(\\overline{ab}\\),…
D. Using a straightedge, he constructed a line from point \( C \) to point \( D \)
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the plane used to perform dilations by multiplying coordinates is the _…
coordinate plane (or Cartesian plane) ### Second Question:
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what is the shading style of the twenty - second figure in the sequence…
Striped (or the specific term for the shading style, which is striped as per figure 6)
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match the following drag labels to their correct position on the image …
- Top (line): Line XY - Middle (ray): Ray XY - Bottom (segment/ray? If segment: Segment XY; if ray from Y: Ray YX) But based on standard definitions: - Line: Line XY (extends infi…
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refer to the following to answer questions... carol needs to determine …
B. \((0, 7)\), D. \((5, 4)\)
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10. circle the irrational number in the list below. 2.27 (\frac{5}{9}) …
No, I do not agree. A rational number's decimal expansion must be terminating or have a fixed - length repeating pattern. In 9.565565556..., the pattern of digits (the number of 5…
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a geometric transformation that resizes a figure proportionally is call…
dilation ### 2. Second Question
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select the equation to solve for x, using the segment addition postulat…
The correct equation is \( 13 + 6+(2x - 18)=(4x - 29) \) (the equation in the blue box)
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1. a geometric transformation that resizes a figure proportionally is c…
dilation ### 2. Second question
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a. make a conjecture about segment ab and segment bc in the below const…
Segment \( AB \) and segment \( BC \) are congruent (i.e., \( AB = BC \)). ### Part B
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12. is a cube a polygon? why or why not?
A cube is not a polygon. A polygon is a 2 - dimensional closed figure with straight sides, while a cube is a 3 - dimensional solid with 6 square faces, existing in 3 - D space.
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point n is between points m and r, mr=25, mn=x²-3x, and nr = 15. find m…
\( 10 \)
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geometry basics constructing segments a •——||——• b c •——||——• d lucia c…
\(AB = CD\) (the option with \(AB = CD\))
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options: line (yellow), line segment (blue), ray (orange), angle (teal)…
line segment
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melvin has a line segment on his paper. he wants to construct a line se…
The first step is Option #2. The second step is Option #3. The third step is Option #1.
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the diameter of a cylindrical construction pipe is 6 ft. if the pipe is…
848 cubic feet
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unit 2 geometry basics > lesson 3 constructing segments a c b g aimee c…
2 units
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jouri constructed (overline{pt}) using a compass and straightedge. she …
Option #3: Using a compass, measure the distance between point \( T \) and point \( P \)
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use the image to answer the question. ava constructed \\(\\overline{tp}…
\(189.34\)
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constructing segments practice complete this assessment to review what …
14
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write the letter for the correct... 15. diagram 16. diagram of line seg…
B. line ### Question 16
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10. graph of a circle on a coordinate grid with x and y axes d = ______…
\( D = [-3, 5] \), \( R = [-2, 3] \), Function? No
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solve the inequality and graph the solution. 15 < 3(g + 5) + 9 plot the…
The solution to the inequality is \(g > - 3\). For the graph, there is an open circle at \(-3\) and the line is shaded to the right of \(-3\).
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partially correct your answer is incorrect. • x: your answer is incorre…
\( z = 105 \), \( x = 40 \)
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enter the coordinates of the points shown. the coordinates of the point…
$(-4,-2),(3,3),(3,-2)$
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solve the inequality and graph the solution. 2(z + 2) + 12 < 8 plot the…
The solution to the inequality \(2(z + 2)+12\lt8\) is \(z\lt - 4\). To graph this, we draw an open circle at \(z=-4\) (since the inequality is strict, \(z eq - 4\)) and draw a ra…
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try it! use congruent angles and congruent segments 1. a. if m∠nop = 2x…
$x = 23.4$
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to enter an ordered pair, enter the x and y coordinates, enclosed in pa…
s: - For entering the coordinates \((10,7)\): \((10,7)\) - For the correct format of two coordinates: C. \((10,7), (7,3)\) (assuming the options are labeled A, B, C, D with C bein…
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read the following original passage, the lighthouse of coral bay, and a…
a. Simile ### Question 5
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explore & reason using a compass, make a design using only circles like…
1. Choose a radius \( r \) for the compass. 2. Draw a circle (central circle) with center \( C \). 3. Mark 6 points \( P_1,P_2,P_3,P_4,P_5,P_6 \) on the circumference of the centr…
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if i wanted to travel from point d to point e how many spaces would i n…
C. 5 spaces (assuming the options are labeled A: 4 spaces, B: 6 spaces, C: 5 spaces, D: 3 spaces)
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what is the distance between the hat and the anchor? 4 6 3 2
4 (assuming the correct horizontal distance between Hat and Anchor on the grid is 4, matching the yellow option with 4)
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1. the point at which two lines intersect 2. a set of points in a strai…
D. point of intersection ### 2.
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find the length of ab with a(2, 3) and b(-4, -9)
The length of \( AB \) is \( 6\sqrt{5} \) (or approximately \( 13.42 \)). If we want the exact value, it's \( 6\sqrt{5} \), and if we want a decimal approximation, it's approximat…
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do you understand? 1. essential question how are the properties of segm…
For segments: Use properties like congruence (equal length for congruent segments) and the segment addition postulate (\( AB + BC = AC \) when \( B \) is between \( A,C \)) to fin…
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4. make sense and persevere suppose m is a point in the interior of ∠jk…
\( 42^\circ \)
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17) mary would like to plant grass in her backyard. her backyard is a r…
C. 60.4 yd²
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1. the point of... 2. a set of... 3. two lines that... 4. points... 5. …
To solve this matching problem, we analyze each term based on geometric definitions: ### 1. The point at the end of a line segment? This is a **vertex** (or endpoint). But from th…
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what is the area of the shaded region? 13 m, 12 m, 4 m, 6 m square mete…
132
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in exercises 15–22, write the conditional statement ( p \to q ), the co…
Let's solve problem 15 first (as it's a clear one with angle - related logic, and we can follow the steps for conditional statements): ### Problem 15: Given \( p \): "Two angles a…
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you start at (4, -4). you move up 3 units and right 1 unit. where do yo…
(5, - 1)
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if the figure below has been reflected across the y-axis, what are the …
$P(-3, 4)$, $Q(2, 1)$, $R(-1, -5)$
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the volume of a cone is 926 cubic cm. its height is 6.3 cm. the base ra…
The base radius is closest to \(\boldsymbol{10\space cm}\) (or approximately \(9.7\space cm\) depending on the required precision). If we consider the calculation more precisely, …
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name: anabel quiz why is a mother kangaroo unhappy when it rains? each …
Because the rain makes her pouch wet
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the graph shows the circle with the equation ( x^2 + y^2 = 1 ). describ…
x - axis symmetry, y - axis symmetry, origin symmetry
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what is the volume of this prism? 5 cm 10 cm 5 cm cubic centimeters
250
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if the figure below has been reflected across the x-axis, what are the …
P: \((3, -4)\) Q: \((-2, -1)\) R: \((2, 5)\)
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8. given m∠jml = 80 and m∠kml = 33, what is m∠jmk?
$47^\circ$
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is the following statement true or false? i have a sphere whose volume …
False
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draw the image of △abc after a reflection across line ℓ.
The third option (the one with red \(A'\), \(B'\), \(C'\) where \(A'\) and \(B'\) are horizontally aligned below the line \(\ell\) and \(C'\) is below \(C\) with the correct dista…
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a pyramid has a volume of 563 cubic cm and a height of 37 cm. find the …
The area of the base of the pyramid is approximately \( \boldsymbol{46} \) square centimeters.
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a tetrahedron has a vertical height of 9.1 cm and a volume of 103 cm³. …
The base area of the tetrahedron is approximately \( 34.0\space cm^2 \).
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a tetrahedron has a vertical height of 8.5 cm and a volume of 105 cm³. …
The base area of the tetrahedron is \(\frac{600}{17}\space cm^{2}\) (or approximately \( 35.29\space cm^{2} \))
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an ice-cream consists of a cone and a hemisphere. the height of the con…
The volume of the ice - cream is \(269.5\space cm^{3}\) (or if we keep it in terms of \(\pi\), \(\frac{257.25}{3}\pi=\frac{85.75}{1}\pi = 85.75\pi\space cm^{3}\approx269.5\space c…
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calculate the radius of the given hemi-sphere which has a volume of 111…
The radius of the hemisphere is approximately \( 8.1\space cm \)
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find the distance between x and y with x(2, -9) and y(-10, -1)
The distance between \(X\) and \(Y\) is \(4\sqrt{13}\) (or approximately \(14.42\)).
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if ( mangle ebd = 4x - 8 ) and ( mangle ebc = 5x + 20 ), find the value…
# Explanation: Assuming that \(\angle EBD\) and \(\angle EBC\) are supplementary (since \(D\) and \(C\) are likely on a straight line with \(B\) and \(E\), forming a linear pair, …
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highlight the conclusion by selecting the words in the conditional stat…
they intersect
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7. points a, b, and c are collinear and b is between a and c. given ab …
\( 7 \)
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plot the points (0, -3), (3, 0), (-2, 1), (5, -3).
The points are plotted as follows: - \((0, -3)\): On the \(y\) - axis, 3 units below the origin. - \((3, 0)\): On the \(x\) - axis, 3 units to the right of the origin. - \((-2, 1)…
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highlight the hypothesis by selecting the words in the conditional stat…
two lines form vertical angles ### For highlighting the conclusion: