Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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2.) diagram: a trapezoid or composite figure with top base 8 cm, bottom…
The area of the trapezoid is \( 55\,\text{cm}^2 \).
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what is the difference of the lengths of (widehat{bd}) and (widehat{ce}…
B. 1.57 units
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note: it might be helpful to use patty paper to perform the transformat…
\(B'\) is at \((-2, - 2)\) \(C'\) is at \((-3, 0)\) \(D'\) is at \((-1, 1)\) \(E'\) is at \((1, - 1)\)
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type the correct answer in each box. the general form of the equation o…
The equation of this circle in standard form is \((x + \boldsymbol{4})^{2}+(y + \boldsymbol{11})^{2}=\boldsymbol{100}\). The center of the circle is at the point \((\boldsymbol{-4…
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scaling squares for problems 2-7, use the provided scale factors to cre…
Area of Original Figure: \( 1 \) square unit Area of Scale Drawing: \( 4 \) square units ### Problem 3:
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1.) a trapezoid diagram with top base 6 cm, bottom base 10 cm, height 6…
The area of the trapezoid is \( 48\,\text{cm}^2 \).
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type the correct answer in the box. use numerals instead of words. a ci…
7.1
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final stretch: five choices & three anchor stories pick three of these …
for Summarizing "Bums in the Attic" Esperanza’s father disdains bums, but she empathizes, imagining offering them a home, showing contrasting views on homelessness. (Note: For the…
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8. un agent immobilier veut connaître la valeur du terrain représenté c…
Le prix de vente du terrain est \( 68250\$ \)
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type the correct answer in the box. use numerals instead of words. a ci…
7.1
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note: it might be helpful to use patty paper to perform the transformat…
\( B' \) is at \( (3, 8) \) \( C' \) is at \( (2, 6) \) \( D' \) is at \( (4, 4) \) \( E' \) is at \( (6, 7) \)
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when circle p is plotted on a coordinate plane, the equation of the dia…
A. The slope of the tangent line is \(-\frac{1}{4}\)
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math buzz lakeview elementary has a new playground. find the perimeter …
Perimeter: \( 30 \) m Area: \( 54 \) square m
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#2 figure: parallelogram with top/bottom sides 4m, left/right sides 8m,…
\( 43.2 \, \text{square meters} \)
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14. josh ate 6 fewer cherries than gail. gail ate 15 cherries. how many…
- Part A: (Drawing as described with 15 circles for Gail and 9 for Josh) - Part B: The equation is $15 - 6 = 9$, and Josh ate 9 cherries.
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select the correct answer. a rotating sprinkler head sprays water as fa…
A. \(\frac{800}{9}\pi\ \text{ft}^2\)
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relating areas of scale drawings 1. create a scale drawing of the trian…
To create the scale drawing: 1. Determine the original triangle's leg lengths (e.g., vertical leg = 2 units, horizontal leg = 4 units from the grid). 2. Multiply each leg length b…
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suppose abc is a right triangle with sides of lengths a, b, and c and r…
D. \(\frac{7\sqrt{51}}{51}\)
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7. given \\(\\overline{cd}\\) as shown with \\(\\overline{ca} \\cong \\…
22 ### Problem 8
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3 which equation represents a circle centered at (3,5) and passing thro…
B. \((x - 3)^2 + (y - 5)^2 = 41\)
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directions: calculate the area of #1 (diagram of a parallelogram with t…
The area of the parallelogram is \( 53.96 \) square inches.
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2 select the correct answer. the equation ((x - 1)^2 + (y + 1)^2 = r^2)…
C. \( \sqrt{17} \)
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a rectangle is plotted on the coordinate plane below: image of coordina…
(a)
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9m 9m 6m 8m area: ______
The area of the triangle is $24\ m^2$.
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final stretch: five choices & three anchor stories pick three of these …
Esperanza’s family dislikes bums, but she feels empathy; she dreams of a house with an attic to shelter them.
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7. calculez la distance entre les points : a) a(0, 0) et b(1, 2) b) c(-…
\( \sqrt{5} \) (ou environ \( 2.24 \)) ### b) Distance entre \( C(-3, 5) \) et \( D(-5, 18) \)
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if the point (6, −3) is reflected over the y-axis, what are the new coo…
b. \((-6,-3)\)
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find the exact value of x in the figure. a. ( 12sqrt{3} ) b. ( 14sqrt{3…
B. \(14\sqrt{3}\)
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if this triangle was reflected over the y-axis to form δh′j′k′, what wo…
\((-6, 6)\)
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match the circle equations in general form with their corresponding equ…
To solve this, we convert each general - form circle equation to standard form \((x - h)^2+(y - k)^2=r^2\) by completing the square. ### 1. For the equation \(x^{2}+y^{2}-4x + 12y…
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what happens to the coordinates of a point (x, y) after a 90-degree cou…
b. \((-y,x)\)
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find the side length of a cube with a volume of 941 cm³. if necessary, …
\( 9.8 \)
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partially correct your answer is incorrect. answer the questions below.…
\( 8 \) ### Part (b)
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a square has a vertex at (2, -3). after a 270-degree counterclockwise r…
b. \((-3, -2)\)
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15in, 40in, 50in (right triangle with right angle), area: ______
300 square inches
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rotating the point (2,5) by 90 degrees counterclockwise around the orig…
a. \((-5, 2)\)
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#1 15in 50in 40in area: ______
300 square inches
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after translating a point (4,5) 2 units left and 3 units down, what are…
b. \((2,2)\)
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identify the transformation (translation, reflection, rotation) for eac…
To solve the problem of identifying the transformation (Translation, Reflection, Rotation) for each pair of triangles, we analyze each figure: ### First Pair of Triangles (Top) ##…
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what are the coordinates of the point $(-1,4)$ after it is translated 3…
d. \((2,2)\)
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a triangle has side lengths of (q + r) centimeters, (5q − 10s) centimet…
\( 6q - 6r-5s \)
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translating a point (1, -1) by 3 units right and 4 units up results in …
b. \((4,3)\)
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gloria feeds 5 goats at a farm. colin feeds 3 fewer goats than gloria. …
\(2 + 3 = 5\) (or \(3 + 2 = 5\))
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gloria feeds 5 goats at a farm. colin feeds 3 fewer goats than gloria. …
$5 - 3 = 2$
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what is the image of the point (4, −1) after a dilation with a scale fa…
d. \( (12, -3) \)
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what transformation is described by the rule (x, y) → (-x, y)? a. rotat…
b. Reflection over the y - axis
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friday quiz: transformations and more match each image to the correct t…
La imagen se corresponde con la transformación de **Reflección (Reflection)**.
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reflecting the point (3, -4) over the y-axis results in which coordinat…
c. \((-3,-4)\)
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alan has 8 toy cars. liza has 2 fewer toy cars than alan. how many toy …
\(8 - 2 = 6\)
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note: it might be helpful to use patty paper to perform the transformat…
\( F' \) is at \( (2, 8) \) \( C' \) is at \( (1, 6) \) \( D' \) is at \( (3, 4) \) \( E' \) is at \( (5, 7) \)
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2. select all of the transformations that would carry fghj onto itself.…
### Question 2 (Transformations carrying FGHJ onto itself) To determine which transformations carry the figure FGHJ onto itself, we analyze each option: 1. **Reflection over the y…
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translate 4 to the left and 6 up. grid image enter the coordinates of t…
To solve this, we first identify the original coordinates of points \( R \), \( C \), \( D \), and \( E \) from the graph. Let's assume: - \( R \) is at \( (2, -8) \) - \( C \) is…
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teri sees 9 squirrels at the park. louis sees 4 fewer squirrels than te…
5
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maya writes 10 letters, leon writes 2 fewer letters than maya. how many…
\(8 + 2 = 10\) (or \(2 + 8 = 10\))
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more compare smaller unknown word problems — instruction — level a maya…
$10 - 2 = 8$
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select the correct answer from each drop-down menu. a cylinder has a di…
5 10 785 (Explanation: Radius is half of diameter, so \(10\div2 = 5\). Height is twice radius, so \(2\times5 = 10\). Volume of cylinder is \(V=\pi r^{2}h=\pi\times5^{2}\times10 = …
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select the correct answer from each drop-down menu. if a cone has the s…
First drop - down: one - third of Second drop - down: equal to To get these answers: 1. Recall the volume formulas: - The volume of a cylinder \(V_{cylinder}=\pi r^{2}h\). - The v…
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build a venn diagram. • use the names of the sets to label the regions.…
- **Irrational numbers (right region)**: $-7\sqrt{11}$, $4\pi$ - **Rational numbers (left large rectangle)**: - **Rational (not Integer)**: $0.\overline{2}$ - **Integer (not Whole…
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guided practice and application circle the nouns in each of the followi…
Circle: cat ### 2.
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select the correct answer. a sphere has a diameter of 24 units. what is…
First, find the radius of the sphere. The diameter is 24 units, so the radius \( r=\frac{24}{2}=12 \) units. The formula for the volume \( V \) of a sphere is \( V = \frac{4}{3}\p…
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use the names of the sets to label the regions. place the numbers in th…
- Whole numbers (and integers, rational numbers) region: \(0\), \(26\) - Integers (not whole numbers) region: \(-10\) - Rational numbers (not integers) region: \(-5.\overline{7}\)…
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lesson 2 – practice problems 1. the second h - shaped polygon is a scal…
a. (Visual: Label corresponding vertices (e.g., top - left, top - right, bottom - left, bottom - right of original and copy) and highlight corresponding sides (e.g., top horizonta…
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2. find the area of the shape below. break the larger shape into smalle…
The area of the shape is \(\boldsymbol{85.2}\) square meters.
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metric measurement the meter length and distance good! the pencil is 15…
150
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a triangle drawn on a map has sides of length 8 cm, 10 cm, and 13 cm. t…
C. 165.6 km
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zack has 9 stamps. rita has 3 fewer stamps than zack. how many stamps d…
$9 - 3 = 6$
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what is the value of g? 74.4°
\( 105.6 \)
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the measure of an angle is 157.9°. what is the measure of its supplemen…
\(22.1^\circ\)
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question 2. given the area of a square, which mathematical operation is…
D. square root
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investigate roots 1. a puzzle maker built the cube puzzle shown. a. wha…
The edge length of the cube puzzle is \(6\) units (assuming the volume is \(216\) cubic units) because the volume of a cube is \(s^3\), and taking the cube root of \(216\) (since …
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number of triangles 3 4 ? ? perimeter (units) 5 6 ? ?
For the number of triangles: 5, 6; For the perimeter: 7, 8
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4) which of the following is an equivalent form of the expression below…
a. \(8r - 10r - 15 + 6r - 12\), d. \(4r - 27\)
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in the diagram, abcd is a cyclic quadrilateral. $overline{bc}$ and $ove…
The value of $r$ is $\boldsymbol{17}$.
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identify the transformation. is this a reflection, translation, or rota…
translation
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polygon r is a scaled copy of polygon q. image of polygon q with side l…
\(0.5\)
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identify the transformation. is this a reflection, translation, or rota…
B. reflection
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polygon j is a scaled copy of polygon i. polygon i (purple) has a top s…
27
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pentagon k is a scaled copy of pentagon j. diagrams: pentagon j with si…
\(\frac{3}{4}\) (or 0.75)
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identify the 3d figure. triangular prism rectangular prism triangular p…
Triangular Prism
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polygon z is a scaled copy of polygon y. diagrams: polygon y has side l…
$\frac{3}{5}$
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identify the 3d figure. rectangular prism triangular prism triangular p…
Rectangular Pyramid
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solve for the value of w. (4w-8)° (3w+6)° answer attempt 1 out of 3 w =…
14
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polygon q is a scaled copy of polygon p. diagram: polygon p (with a sid…
2
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identifying 3-d figures - part ii identify the 3d figure. image of a re…
Cylinder
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ac is a straight shore line 5 km long. b is a boat off at sea. find the…
The shortest distance is \(\frac{15 - 5\sqrt{3}}{2}\text{ km}\) (or approximately \(3.17\text{ km}\))
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identify the 3d figure. cone pentagonal pyramid triangular prism triang…
Pentagonal Pyramid
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solve for the value of a.
12
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polygon s is a scaled copy of polygon r. polygon r has side lengths ( 2…
\( \boxed{100} \)
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apply and use rates, proportions and percents. 1. circle each proportio…
### Part A # Explanation: ## Step1: Understand the rate Ben's typing rate is constant, so words per minute should be equal. So \(\frac{\text{words}}{\text{minutes}}\) should be eq…
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name the marked angle in 2 different ways.
Two ways to name the marked angle are \( \angle NPQ \) and \( \angle P \) (or \( \angle QPN \) and \( \angle NPQ \))
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triangle d is a scaled copy of triangle c. triangle c (purple) has a ba…
\(0.3\) (or \(\frac{3}{10}\))
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a wheel is rotating 992 times per minute. through how many degrees does…
B. $1440^\circ$
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solve for the value of a.
12
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use the diagram below to answer questions 8a-8c. diagrams: step 1 (two …
\( f(n) = f(n - 1) + 2 \) (for \( n \geq 2 \)), \( f(1) = 2 \) ### 8B
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what is the length of \x\ indicated by the arrows? if you need a larger…
\(5\frac{49}{64}''\) (the option corresponding to \(5\frac{49}{64}''\))
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solve for the value of e.
10
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identify the transformation. is this a reflection, translation, or rota…
rotation
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solve for the value of v. 50° (v-7)° answer attempt 1 out of 3 v = subm…
57
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triangle l is a scaled copy of triangle k. image of triangle k (angles:…
\(80\)
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what is the reading of this tape measure indicated by the arrow? if you…
73mm (Option: 73mm)