Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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a cylinder has a height of 11 millimeters and a radius of 12 millimeter…
\( 4973.76 \)
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what are the coordinates of the point on the directed line segment from…
The coordinates of the point are \((-5,6)\)
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4. select all the line segments that appear to be parallel to a. a. a b…
A. \(a\), E. \(e\)
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can figure n be rotated and then translated to form figure n? no how ca…
s: 1. For "Can figure \( N \) be rotated and then translated to form figure \( N'' \)?": no 2. For "How can figure \( N \) be translated and then reflected to form figure \( N'' \…
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find the value of x.
\(x = 66\)
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can figure n be rotated and then translated to form figure n? yes no
yes
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find the value of x. image of a triangle with angles 51°, 94°, and x° x…
\(35\)
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find the value of x.
\(62\)
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find the value of x. triangle with angles 43°, 94°, and ( x^circ ) ( x …
\(x = 43\)
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find the value of x.
\(49\)
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find the area of the triangle in square meters and type appropriate res…
200
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find the value of x.
\(117\)
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what is the area of this figure? 7 m 9 m 5 m 3 m 8 m 5 m 3 m 12 m write…
# Explanation: ## Step1: Divide the figure into parts We can divide the figure into a triangle, a large rectangle, and a small rectangle. - Triangle: base = 8 + 9 + 3 = 20? Wait, …
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if m∠qps = 117, m∠rpt = 85, and m∠rps = 73, what is m∠qpt? enter your a…
\( 129^\circ \)
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15 mark for review in triangle xyz, angle y is a right angle, the measu…
\( 338 \)
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if m∠qps = 106, m∠rpt = 105, and m∠rps = 73, what is m∠qpt? enter your …
\( 138^\circ \)
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in the figure below, m∠3 = 127°. find m∠1, m∠2, and m∠4.
\( m\angle1 = 127^\circ \) \( m\angle2 = 53^\circ \) \( m\angle4 = 53^\circ \)
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in the figure below, m∠4 = 113°. find m∠1, m∠2, and m∠3.
\( m\angle1 = 67^\circ \) \( m\angle2 = 113^\circ \) \( m\angle3 = 67^\circ \)
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the measure of an angle is 25.6°. what is the measure of its supplement…
\(154.4\)
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try it applying the geometric mean (altitude) theorem use the geometric…
\( 4\sqrt{10} \) (corresponding to the option with \( 4\sqrt{10} \))
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in the figure below, m∠2 = 55°, find m∠1, m∠3, and m∠4
\( m\angle1 = 125^\circ \), \( m\angle3 = 125^\circ \), \( m\angle4 = 55^\circ \)
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which single transformation maps figure f onto its image? a reflection …
A reflection across the x - axis ### Second Sub - Question (How to map figure F onto its image using reflection and rotation)
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in the figure below, m∠3 = 131°. find m∠1, m∠2, and m∠4. m∠1 = ☐° m∠2 =…
\( m\angle1 = 131^\circ \), \( m\angle2 = 49^\circ \), \( m\angle4 = 49^\circ \)
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if ( m angle qps = 117 ), ( m angle rpt = 108 ), and ( m angle rps = 61…
\( 164^\circ \)
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4. find all values of x which make this equation true (|2x - 11| = 3) a…
A. \(\{7, 4\}\) ### Question 6
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in the figure below, m∠4 = 108° find m∠1, m∠2, and m∠3
\( m\angle1 = 72^\circ \), \( m\angle2 = 108^\circ \), \( m\angle3 = 72^\circ \)
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which single transformation maps figure f onto its image? a reflection …
A reflection across the \(x\) - axis
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question 6: point s is in the interior of ∠pqr. if m∠sqr = 52°, m∠pqs =…
\( x = 12 \)
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which triangle is the result of the sequence of transformations? (1) △l…
\( \triangle M \)
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a cube has an edge length of 68 inches. a solid sphere with a radius of…
A. 149,796
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the table below gives the dimensions of a bridge and a scale model of t…
$\frac{1}{8}$
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find the area of the triangle given below and type your result in the e…
220
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which triangle is the result of the sequence of transformations? △j △k …
$\triangle L$
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find the area of the triangle and choose the appropriate result. triang…
B. $240\ cm^2$
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3. each small square in the graph paper represents 1 square unit. which…
B. \(4\frac{1}{2}\times3\frac{1}{4}\)
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what is the value of c?
\(110^\circ\)
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list the number of: • pairs of parallel sides • equal sides
- Pairs of parallel sides: 1 - Pairs of equal sides: 1
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which triangle is the result of the sequence of transformations? △k △l …
\( \triangle L \)
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#4) 4 ft, 9 ft, 5 ft, 2 ft, 5 ft
The volume of the composite figure is \(\boxed{140}\) cubic feet.
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which statement describes congruent figures? congruent figures always f…
D. Congruent figures have the same size and shape. (Note: Assuming the last option is labeled D; if the original labels were different, adjust the label but keep the text. Based o…
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draw any and all the lines of symmetry within the shape below.
The isosceles triangle has 1 line of symmetry, drawn as the perpendicular bisector of the base (or the angle bisector of the vertex angle) to split it into two congruent parts. (N…
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which statement describes congruent figures? congruent figures always f…
The statement that describes congruent figures is: "Congruent figures have the same size and shape." (the last option)
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2. select all the expressions that give the area of the figure in squar…
B. \((8\times6)-(3\times4)\), D. \((5\times6)+(3\times2)\)
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determine the missing angle measure (x).
\(104^\circ\)
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when describing a rotation, reflection, and translation what must be in…
- Translation: The direction (e.g., horizontal/vertical) and distance (number of units) of the move. - Reflection: The line of reflection (e.g., x - axis, y - axis, \(y = x\) etc.…
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problem #4 - unit 1 (medium) find the coordinates of the vertices of ea…
\(K'(-1,-1)\), \(N'(-4,0)\), \(Q'(-4,-4)\) ### Problem #5 Solution (General Explanation as Coordinates of Original Points are not Clearly Visible from the Image):
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20. distance solve for r. ( d = rt ) 22. simple interest solve for t: (…
\( r = \frac{d}{t} \) ### Problem 22: Solve for \( t \) in \( I=Prt \)
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describe the image below. what does it tell us? (with a vertical number…
The image contains a vertical number line (or scale) with markings (likely numerical or unit - related) and a marked point (dot) on it. It is used to represent a specific value (t…
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what happens to the shape in a dilation 1. scale factor 3 \twhat will h…
To solve problems about the effect of a scale factor on the perimeter and area of a shape during dilation, we use the following rules: ### Key Concepts: - **Perimeter**: If a shap…
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question draw a line representing the rise and a line representing the …
\(-\frac{4}{3}\)
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figure l answer a translation 5 units to the left and 5 units up a rota…
A rotation \(90^{\circ}\) clockwise about the origin
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point j is on line segment ik. given jk = 2x - 1, ik = 3x + 2, and ij =…
7
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point g (□, □) is \\(\\frac{2}{5}\\) the distance from j to k. write yo…
\( G(-1.0, 0.0) \)
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figure u -7 (arrow down) answer ○ a translation 1 unit up ○ a translati…
A translation 1 unit down
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choose the two options to use past progressive: - red (triangle): one s…
Red (triangle): One short action, interrupted by the main action (this one uses it) Green (square): Two actions happening at the same time
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solve for the value of b.
\(b = 4\)
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point r (\\boxed{ }, \\boxed{ }) is $\\frac{1}{4}$ the distance from s …
\( R(-3.0, 4.0) \)
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solve for the value of a.
\(a = 4\)
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use the figure to the right to find the value of pt. pt = 5x + 2 and tq…
27
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3c over what region in the domain is f(x) constant? write the region in…
\((0, \infty)\) (or depending on the graph's actual constant part, but from the visible part, if the horizontal line starts at \(x = 0\) (open circle at \(x = 0\)) and goes right,…
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point x (\\boxed{ }, \\boxed{ }) is on segment yz so that $yx = \\frac{…
\( (2.4,5.6) \)
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on a number line, the coordinates of x, y, z, and w are -8, -6, 2, and …
A. No, because their lengths are not equal
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week 1 instructions: choose 4 questions to answer each day. if you’re f…
The mean of the set of numbers is $25.5$.
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read the passage. stonehenge is the most famous stone circle in the wor…
B. The construction of the stone circle was a challenging task.
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on a number line, the coordinates of x, y, z, and w are -8, -6, 2, and …
11
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a. draw a scaled copy of the polygon using a scale factor 3. label the …
a. (Drawing: Scale each side of the original polygon by 3 and redraw, label as A.) b. (Drawing: Scale each side of the original polygon by \( \frac{1}{2} \) and redraw, label as B…
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7·1 domain and range review worksheet state the domain and range of eac…
- Domain of \( y = 2\sqrt{x + 1} \): \( \{x\in\mathbb{R}|x\geq - 1\} \) - Range of \( y = 2\sqrt{x + 1} \): \( \{y\in\mathbb{R}|y\geq0\} \)
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find the measure of the missing angles.
\( h = 57^\circ \), \( g = 123^\circ \), \( m = 99^\circ \), \( k = 81^\circ \)
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which are correct representations of the inequality −3(2x − 5) < 5(2 − …
- \(-6x + 15 < 10 - 5x\) - The number line with an open circle at \(5\) and the arrow pointing to the right (the fourth option in the list of options)
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on a number line, the coordinates of x, y, z, and w are -8, -6, 2, and …
10
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find the measure of the missing angle.
\(40^\circ\)
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find the measure of the missing angle.
The measure of the missing angle \(a\) is \(64^\circ\)
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which are correct representations of the inequality ( 6x geq 3 + 4(2x -…
- \(1\geq2x\) - \(6x\geq3 + 8x - 4\) - The number line with a closed circle at \(0.5\) and the arrow pointing to the left (the first number line option in the given set of number …
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find the measure of the missing angle.
\( 40^\circ \)
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point p ( , ) is \\(\\frac{4}{5}\\) the distance from a to b. write you…
\( (0, 6.8) \)
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which number line represents the solution set for the inequality 3(8 − …
The second number line (the one with an open circle at 3 and the arrow pointing to the right, i.e., the option with \(-5\) \(-4\) \(-3\) \(-2\) \(-1\) \(0\) \(1\) \(2\) \(\circ\) …
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which number line represents the solution set for the inequality 3(8 − …
The second number line (the one with an open circle at 3 and the blue line extending to the right from 3)
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using the graph, determine the value of the slope. what is the slope? o…
0
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w.5 add polynomials to find perimeter 8as find the perimeter. simplify …
\( 8p - 10 \)
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4. a map of colorado says that the scale is 1 inch to 20 miles or 1 to …
Yes, these two ways of reporting the scale are the same. Because 20 miles is equal to \(20\times63360 = 1267200\) inches, so a scale of 1 inch to 20 miles is equivalent to a scale…
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find the measure of the missing angles.
\( b = 118^\circ \), \( c = 62^\circ \)
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w.5 add polynomials to find perimeter bas find the perimeter. simplify …
\( 4x \)
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instructions: draw a small picture for each freedom (does not need to b…
- **Religion**: Sketch a person kneeling in prayer inside a simple church (triangle roof, cross) or a person with a hijab in a mosque - like archway, or a person meditating in a t…
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find the perimeter. simplify your answer.
\( 4z + 20 \)
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w.5 add polynomials to find perimeter bas find the perimeter. simplify …
\( 30v + 2 \)
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w.5 add polynomials to find perimeter 8as find the perimeter. simplify …
\( 36x + 6 \)
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10. if mp = 6², find mn.
\( 18 \)
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which angle number represents an angle adjacent to ∠rxu?
# Explanation: ## Step1: Recall adjacent angle definition Adjacent angles share a common side and vertex, and their non - common sides form a linear pair (or are adjacent rays). F…
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w.5 add polynomials to find perimeter 8as find the perimeter. simplify …
\( 18t - 8 \)
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what is the value of v? (diagram shows angles 61° and 37° with a straig…
\(82^\circ\)
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21. x + 5, 15, 5x + 1, 35
To solve for \( x \), we use the Basic Proportionality Theorem (Thales' theorem) which states that if a line is drawn parallel to one side of a triangle, intersecting the other tw…
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maria has a cube-shaped box that measures 9 inches along each edge. can…
No; the cube - shaped box has a volume of 729 cubic inches, which is less than 1,000 cubic inches.
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w.5 add polynomials to find perimeter sas find the perimeter. simplify …
\( 4s - 14 \)
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22. diagram with a slanted line, vertical segments labeled 40, x, and h…
To solve for \( x \), we can use similar triangles. The ratios of corresponding sides should be equal. So we set up the proportion: \[ \frac{40}{32} = \frac{x}{14} \] Cross - mult…
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sonya wants to sew ribbon along each side of a square pillow. if the pi…
48 To determine the length of ribbon needed, we first find the side length of the square pillow. The area of a square is given by \( A = s^2 \), where \( s \) is the side length. …
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find the measure of the missing angles.
- \( h = 109^\circ \) - \( g = 71^\circ \) - \( k = 29^\circ \) - \( m = 29^\circ \)
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which angle number represents ∠sxu?
2
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11) ( moverarc{cfd} ) find the missing measure.
\( 225^\circ \)
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w.5 add polynomials to find perimeter bas find the perimeter. simplify …
\( 24z + 1 \)
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of the variable(s). 43. x = 6 right triangle with vertical leg labeled …
If finding the lengths: Vertical leg \( x = 6 \), Horizontal leg \( 4x + 1 = 25 \). If finding the area: \( 75 \). (Assuming area, the answer is \( \boldsymbol{75} \))