Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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5 q and c are points on a polygon. q and c are the points under a trans…
\((-18, 4)\)
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question 2 of 10 which of the following formulas would find the surface…
B. \( BA + LA \) E. \( 2\pi r^2 + 2\pi rh \) (Note: B is correct because surface area of a cylinder is lateral area plus two base areas, but if \( BA \) is one base area, then tot…
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calculate the distance between the points f=(1, -6) and b=(4, -9) in th…
\( 4.24 \)
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in the figure below, b lies between a and c. find the location of b so …
16
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the point g is the midpoint of $overline{fh}$. find the location of f.
The location of \( F \) is \(-14\).
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what is the surface area of the rectangular pyramid below? image of gre…
B. 484 units² (Note: The surface area of a square pyramid (since base is 11x11, a square) is base area + 4*(area of one triangular face). Base area = 11*11 = 121. Each triangular …
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1. $\\overline{ab} \\cong \\overline{fg}$ 2. $\\overline{bf}$ bisects $…
To solve this geometric proof, we analyze each step based on the given information and properties of segment congruence: ### Step 1: Analyze Given Information - We know \( AB \con…
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practice questions 1. circle the number of things in each group. a. smi…
s: 1. A. Circle 6 B. Circle 2 2. A. 2 B. 5 3. 10
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question 1 of 10 what is the surface area of the rectangular prism belo…
C. 432 units² To find the surface area of a rectangular prism, we use the formula \( SA = 2(lw + lh + wh) \), where \( l \) is length, \( w \) is width, and \( h \) is height. Fro…
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while researching a topic, a student has taken the following notes: - g…
A. Grimanesa Amoros often employs LED lights in her work, but the smooth LED domes of Uros Island stand in contrast to the tangled LED tubes of Golden Connection.
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1. on the il.a keyditions we will read ______ of passages from larger w…
s: 1. excerpt 2. vigil 3. rubble 4. vigil 5. adage 6. wrangled 7. hover 8. collaborate 9. rubble 10. adapt
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date period 1. name a transformation that takes figure a to figure b. n…
### Question 1 #### Part 1: Transformation from A to B # Explanation: ## Step1: Analyze A to B Figure A and B have same shape, size, orientation. Distance between corresponding po…
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two universal themes in passage 2 are that children can bring com their…
C. "Six months together we shall dwell on earth, Six months in dreams we shall companions be, Jove’s doom is void; we are forever joined." (lines 29 - 31)
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use the figure shown for exercises 10–13. 10. what is ( mangle ptr )? 1…
\( 90^\circ \) ### Question 11: What is \( m\angle PTQ \)?
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use common sense to determine whether the given event is possible. the …
It is impossible.
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a point is randomly chosen in the square. which statements are true? ch…
The true statements are: - The point is most likely to be in the shaded region. - The probability of the point being in the shaded region is 0.75. - The probability that the point…
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streak and counting! fantastic consist... 1 streak level 2 find the are…
- \( A = 300 \) - \( B = 42 \) - \( C = 100 \) - \( D = 14 \) - Total Area = 456
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find x. show all work and circ 1. ((9x + 11)^circ) ((9x - 3)^circ)
\( x = \frac{86}{9} \) (or approximately \( 9.56 \))
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points a, b, c, and d on the figure below are collinear. use the figure…
\( AB = 6 \) ### Problem 9
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measuring segments and angles in exercises 1–4, use the figure shown. f…
\( 3 \) ### 2. Finding \( RT \)
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question 1 of 10 using the piling method, which of the following can be…
B. Prism C. Cylinder E. Cube (Note: A prism can be constructed by piling polygons (the bases) along the height, a cylinder by piling discs, and a cube is a type of prism with squa…
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question 10 of 10 which of the following terms correctly describe the o…
A. Solid D. Prism F. Polyhedron (Note: The object is a rectangular prism (a type of prism), which is a solid and a polyhedron. A polygon is 2 - dimensional, a cube has all sides e…
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use the number line below to determine which of the following answer ch…
D. Point A represents \(-4\), Point D represents \(1\), and \(-4 < 1\) (Wait, no, the options are labeled with circles, but in the image, the fourth option is "Point A represents …
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the garden has an area of 77 square meters. the width of the garden is …
11
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many simple two-dimensional figures are described using ______ and ____…
C. length D. width (or other valid pairs like B. height and C. length, B. height and D. width, but length and width are more common for 2D figures; the key is choosing two from le…
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the movement of the progress bar may be uneven because questions can be…
32 square millimeters
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find the area of the trapezoid below in square centimeters (cm). the ar…
\( 122.5 \)
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find the perimeter, in feet, of the parallelogram. options: 82 feet, 44…
88 feet
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what is the scale factor for △abc to △def? what is the value of x?
(First Sub - Question: Scale Factor): The scale factor for $\triangle ABC$ to $\triangle DEF$ is $\frac{20}{4}=5$.
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if three points are coplanar, they are also collinear. a. true b. false
B. False
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find the perimeter and area of the polygon shown below. diagram of a po…
P = 76 feet, A = 330 square feet (the third option, e.g., if options are labeled as: 1. P = 76 feet, A = 338 square feet; 2. P = 91 feet, A = 390 square feet; 3. P = 76 feet, A = …
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9 which of the following is a zero - dimensional geometric object? a. a…
B. A point
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two or more points are _____ if they lie on the same line. a. rays b. s…
D. collinear
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which of the following are one - dimensional and have infinite length? …
A. Line, E. Ray
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find the volume of a rectangular fish tank with dimensions of 14 feet l…
672
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which of the following are zero - dimensional or one - dimensional figu…
Line, Point, Ray, Segment
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question 13 of 25 which of these figures has rotational symmetry? a. tr…
B. The parallelogram (option B) has rotational symmetry because rotating it by 180 degrees about its center maps the figure onto itself.
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if points f and g are contained in a plane, then (overline{fg}) is enti…
A. True
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a basketball is a solid round figure where every point on the ball is t…
A. Sphere
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△abc is a dilation of △abc with a center of dilation at point d. what i…
The scale factor of the dilation is \( 1.6 \) (or \(\frac{8}{5}\) or \(\frac{16}{10}\) simplified, but \( 1.6 \) is a common decimal representation).
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a baseball is a solid round figure where every point on the ball is the…
Sphere (along with the option identifier if applicable, e.g., if the first option is Sphere, then "A. Sphere")
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two lines and a point are guaranteed to be coplanar if: a. they are nea…
D. They lie in the same plane.
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which of the following is three - dimensional and infinitely large? a. …
C. Geometric space
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which of the following are reasons used in the proof that the equilater…
A. All of the radii of a circle are congruent. D. Two segments that are both congruent to a third segment must be congruent to each other.
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which of the following is two - dimensional and infinitely large? a. a …
A. A plane
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find the perimeter and total area of the composite shape shown below. a…
Perimeter = 52.56 inches, Area = 137.12 square inches (corresponding to the first option: Perimeter = 52.56 inches, Area = 137.12 square inches)
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which of the following rectangles have exactly \\(\\frac{2}{6}\\) of th…
B. Option Text (the rectangle with 3 parts, 1 shaded), C. Option Text (the rectangle with 3 parts, 1 shaded)
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which angles are obtuse? check all that apply: ∠mlk ∠dbc ∠dba ∠gfe
$\angle DBC$
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the point halfway between two endpoints of a line segment is a(n): a. v…
C. midpoint
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a) what is the scale factor, k, from triangle a to triangle b? b) find …
\( 0.8 \) ### Part b)
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match each circular flower bed on the left to its circumference and its…
- Flower Bed A (diameter = 10 ft) matches with "circumference = \( 10\pi \) feet, area = \( 25\pi \) square feet". - Flower Bed B (radius = 6 ft) matches with "circumference = \( …
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calculating geometric probability complete the steps to find the probab…
- The area of the triangle is $\boldsymbol{150}$ $cm^{2}$. - The area of the rectangle is $\boldsymbol{48}$ $cm^{2}$. - The probability that the point is in the shaded area is $\b…
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a straight path that goes on forever in both directions is a(n)? a. ray…
C. line
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which of the following appear in the diagram below? check all that appl…
$\overrightarrow{YX}$, $\overrightarrow{YW}$, $\angle XYZ$
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which of the following describe an angle with a vertex at e? check all …
$\angle FED$, $\angle DEF$
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calculating geometric probability complete the steps to find the probab…
- The area of the triangle is $\boldsymbol{150}$ $\text{cm}^2$. - The area of the rectangle is $\boldsymbol{48}$ $\text{cm}^2$. - The probability that the point is in the shaded a…
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what divides an angle into two congruent angles? a. arcs b. midpoint c.…
D. angle bisector
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quadrilateral rstq is a parallelogram. which of the following relations…
\( \boldsymbol{\angle S \cong \angle Q} \) (the option with \( \angle S \cong \angle Q \))
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if a point c is inside ∠avb, then ____ + m∠cvb = m∠avb, m∠avb = 62° opt…
C. \( m\angle AVC \)
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a camper attaches a rope to the top of her tent to give it more support…
5.3 feet
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3 if point c is between points a and b, then ac + ___ = ab. a. ca b. cb…
B. CB
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what is the area of the square? 3 cm square centimeters
9
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name the types of angles shown. check all that apply: complementary ang…
supplementary angles, straight angle
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question 10 of 10 one way to recognize a line of symmetry is to look fo…
B. two congruent parts.
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question 9 of 10 the diagram of the square below displays all the lines…
A. True
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when a line of symmetry divides an image, it splits the image into two …
A. True
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solve each problem. 13. a square and a rectangle have equal perimeters.…
\( x = 1 \)
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b. you could cut the cube in the example along other edges to make a ne…
To solve the problem of drawing another net for a cube, we can follow these steps: ### Step 1: Recall the properties of a cube's net A cube has 6 square faces. A net of a cube is …
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question 7 of 10 what divides a design so that every point on one side …
C. Line of symmetry
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question 6 of 10 how many lines of symmetry does a regular pentagon hav…
D. 5
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look at the following shapes. shapes: right triangle (17 m, 15 m, 8 m),…
For Quadrilaterals: no For Squares: no
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question 5 of 10 if a shape is a regular octagon with eight sides, whic…
B. It has reflectional symmetry. C. It has eight lines of symmetry. D. It is symmetrical.
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the image is an example of which type(s) of symmetry? a. reflectional b…
C. Both rotational and reflectional
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1 what type of angle is angle r? diagram: points s, r, t with segment s…
A. obtuse
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compare using >, <, or =. hint: think about how you would fill in each …
$\frac{3}{4} < \frac{3}{3}$
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question 3 of 10 a shape with rotational symmetry can be rotated around…
A. True
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only regular polygons with an even number of sides are symmetrical. a. …
B. False
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question 1 of 10 which of the lines below is a line of symmetry? a. nei…
C. Both
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when the sun is at a certain angle in the sky, a 100-foot building will…
6
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in the triangles below, ( mangle b = mangle a ) and ( mangle t = mangle…
\( 6\frac{2}{3} \) (the option with \( 6\frac{2}{3} \))
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e. first, read the following fable. next, answer the questions. last, d…
they should inherit the family business (or similar expression about being the one to inherit the family business) #### Conflict Type:
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the movement of the progress bar may be uneven because questions can be…
B. They are similar triangles.
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27) m∠2 = 49 + x
\(x = -2\)
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25. write an expression to represent the area of the shaded region in s…
\( 14x^2 - 6x - 2 \)
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18 true or false? postulates are statements that are accepted without q…
A. True
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9 which of the following can be used to explain a statement in a geomet…
A. Theorem, B. Corollary, C. Postulate, D. Definition, E. Contradiction
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true or false? a corollary is a statement that can be easily proved usi…
A. True
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7 which of the following are accepted without proof in a logical system…
A. Axioms B. Common Notions C. Postulates
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6 which term best describes a proof in which you assume the opposite of…
A. Proof by contradiction
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5 a logical argument that is presented in graphical form using boxes an…
C. flowchart proof
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which best describes the meaning of the term theorem? a. a conclusion p…
A. A conclusion proved by deductive reasoning
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true or false? in a two - column proof, the right column states your re…
B. True
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2 true or false? in the body of an indirect proof, you must show that t…
B. True
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1 true or false? in a two-column proof, the right column contains a ser…
B. False
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part i - multiple choice circle the best answer. 1. the future farmers …
b) 1928 ### Question 2
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2. the area of the medium triangle is ______ square units. i know this …
\(\frac{1}{2}\) (or 0.5, depending on context; the explanation ties to the triangle being half a unit square’s area).
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2.3: tangram triangles recall that the area of the square you saw earli…
The area of the small triangle is \(\frac{1}{8}\) square units. I know this because the square with area 1 square unit can be divided into 8 congruent small right - angled triangl…
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lesson 2 practice problems 1. the diagonal of a rectangle is shown. ima…
s: 1a. (Description of the new shape: For example, a parallelogram formed by placing the two triangular parts with their hypotenuses together. The actual drawing would show the re…
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2.3: tangram triangles recall that the area of the square you saw earli…
The area of the small triangle is $\frac{1}{8}$ square units. I know this because the square (with area 1 square unit) can be divided into 8 congruent small right - angled triangl…
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2.3: tangram triangles recall that the area of the square you saw earli…
\(\frac{1}{8}\)