Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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ab || cd, bc || de. find the m∠cde, if m∠bca = 90° and m∠bac = 57°. opt…
\(33^\circ\) (corresponding to the option with \(33^\circ\))
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4. which ordered pair represents the result of reflecting point d over …
D. \((6,5)\) ### Question 5
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find the m∠bac, if m∠dec = 45° and m∠edc = 65°. options: 50°, 60°, 70°,…
\( 70^\circ \) (corresponding to the option with \( 70^\circ \))
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this diagram is a straightedge and compass construction. which triangle…
A. Triangle \( VWZ \) is equilateral.
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11. (7x - 23)° 49° (3x)° (11y - 1)° l m
To solve for \( x \) and \( y \), we analyze the angles formed by intersecting lines. ### Step 1: Solve for \( x \) The angles \( 49^\circ \), \( (3x)^\circ \), and \( (7x - 23)^\…
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given: l || m assume the transversal is perpendicular to m. find m ∠1. …
\( 60^\circ \) (corresponding to the option 60)
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graph the image of △tuv after a reflection over the x-axis.
The reflected triangle $\triangle T'U'V'$ has vertices at $V'(0, - 8)$, $U'(7, - 10)$ and $T'(7, - 5)$ (and is graphed by plotting these points and connecting them).
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m ∠1 = 40 50 130 (diagram includes angles 90°, 40°, 90° and a right tri…
\(50\) (corresponding to the option with value 50)
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lines l and m are parallel. find m∠3 if m∠5 = 38 and m∠6 = 62. 100 80 3…
80
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if m∠2 = 137 and m∠p = 22, what is m∠o? 43 115 21 65
115
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approximately how many degrees are in the measure of an interior angle …
135 (corresponding to the option "135")
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in a right triangle, the acute angles measure x+15 and 2x degrees. what…
50
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determine if the statement is always, sometimes or never true. each of …
sometimes
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determine if the statement is always, sometimes or never true. there ar…
never
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determine if the statement is always, sometimes or never true. an exter…
never
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graph the image of square pqrs after a reflection over the y-axis.
The image of square \( PQRS \) after reflection over the \( y \)-axis has vertices at \( P'(9, -6) \), \( Q'(4, -6) \), \( R'(4, 0) \), and \( S'(9, 0) \). (To graph, plot these p…
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determine if the statement is always, sometimes or never true. the meas…
sometimes
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determine if the statement is always, sometimes or never true. a quadri…
always
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determine if the statement is always, sometimes or never true. an equil…
always (the option: always)
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two distinct lines l and m are each perpendicular to the same line n. s…
B. Lines \( l \) and \( n \) are perpendicular. C. Lines \( m \) and \( n \) are perpendicular. D. Lines \( l \) and \( m \) are parallel.
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determine if the statement is always, sometimes, or never true. a scale…
sometimes
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9 x 10 54 30 60 scale factor= ____ missing side length = ____
Scale Factor = \(\boldsymbol{6}\) Missing Side length = \(\boldsymbol{5}\)
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student: find slope for line containing (a, 3) (-b, 1)
The slope of the line is \(\frac{1}{a + b}\)
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one angle of a triangle is obtuse. the sum of the measures of the other…
less than 90 degrees
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lesson 1-1 geometry do now: 1. what is the difference between a line an…
A line extends infinitely in both directions (no endpoints); a line segment has two endpoints and a fixed length. #### 2. Difference between a line segment and a ray
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graph the image of △pqr after a reflection over the y-axis.
The image of \( \triangle PQR \) after reflection over the \( y \)-axis has vertices at \( P'(10, -2) \), \( Q'(2, -2) \), and \( R'(8, -5) \). (To graph, plot these points and co…
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1. figures a and b are scaled copies. what scale factor takes a to b? e…
The scale factor that takes A to B is \( \boldsymbol{3} \) (assuming A is the smaller figure and B is the larger scaled copy, where corresponding side lengths of B are 3 times tho…
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match the following items on the left with the items on the right by en…
Scalene△: D Obtuse△: C Hexagon: B Right△: A
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a triangle can have at most ______ right angle. ○ 4 ○ 1 ○ 0 ○ 2
1 (corresponding to the option "1")
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graph the image of △tuv after a reflection over the y-axis.
The image of \( \triangle TUV \) after reflection over the \( y \) - axis has vertices at \( T'(4,3) \), \( U'(4,6) \), and \( V'(10,2) \). (To graph, plot these points and connec…
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an exterior angle of a triangle equals ______ minus the adjacent interi…
180 (corresponding to the option "180")
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the sum of the interior angles of an n-gon is ______. 90°(n - 2) 270°(n…
\( 180^{\circ}(n - 2) \) (the option corresponding to this formula)
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the sum of the interior angles of a triangle is ______. 360° 90° 270° 1…
\(180^{\circ}\) (the option corresponding to \(180^{\circ}\))
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the sum of the interior angles of a pentagon is ______. ○ 180° ○ 540° ○…
540° (the option corresponding to 540°)
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the sum of the interior angles of a quadrilateral is ______. 180° 90° 3…
\( 360^{\circ} \) (the option corresponding to \( 360^{\circ} \))
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lesson 1-7: do now read the following conditional: if two numbers are e…
Hypothesis: Two numbers are even Conclusion: The product is odd
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10 as shown in the figure, the diagonals of rectangle ( abcd ) intersec…
By proving \( OCED \) is a parallelogram (using parallel sides) and showing \( OC = OD \) (using rectangle's diagonal properties), we conclude \( OCED \) is a rhombus.
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-53 < 9x + 1 < -26 click and drag the dots to graph the end points. **t…
The solution to the inequality \( -53 < 9x + 1 < -26 \) is \( -6 < x < -3 \). For graphing, the left endpoint (open circle) is at \( -6 \) and the right endpoint (open circle) is …
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for the given conditional statement, determine which of the following o…
conditional, converse, contrapositive
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write the contrapositive of the conditional statement. if a polygon is …
If a polygon does not have congruent angles and congruent sides, then it is not regular.
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what’s the measurement of this angle? angle: ° submit attempts = 1, poi…
For the angle measurement (first sub - question), by visual estimation and using benchmark angles, the angle is likely \(60^{\circ}\) (or other reasonable acute angle measure, but…
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graph the image of △tuv after a reflection over the x-axis.
The image of $\triangle TUV$ after reflection over the x - axis has vertices at $V'(0, - 8)$, $T'(7, - 5)$ and $U'(7, - 10)$. (To graph, plot these points and connect them.)
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for exercises 7–9, refer to the figure. 7. how many planes are shown in…
5 ### Exercise 8:
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5. the coordinates of a are (5, 2) and the coordinates of c are (3, −6)…
B. 8.2
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1. image of two triangles: smaller triangle with side 5 and base 4; lar…
Scale Factor = 2, Missing side \( x = 10 \)
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1. scale factor= ______ missing side length =______
Scale Factor = 2, Missing Side length = 10
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write the coordinates of the vertices after a reflection over the y-axi…
\( C'(6, -8) \) \( D'(3, -8) \) \( E'(3, -1) \) \( F'(6, -1) \)
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what is the slope of the line?
1
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write the coordinates of the vertices after a reflection over the y-axi…
\( K'(9, 5) \) \( L'(0, 5) \) \( M'(8, 3) \)
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2. a student is using coordinate geometry to find the perimeter of the …
D. \(\sqrt{(0 + a)^2+(c - b)^2}\)
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name: aayon.m date: 09-09-25 per: unit 2: logic & proof homework 3: con…
If a student is a freshman, then the student is required to attend orientation.
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2. simplify: (partially visible) 3. write the following in standard for…
\( 6x^5 - 10x^4 + 5x^3 - 17x^2 + 11 \)
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1 calculate the distance between the following two points. a(3,7) b(6,1…
5 ### Problem 2: Distance between \( A(-7,3) \) and \( B(2,-1) \)
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2 3 4 3 6 6 x p q r s t y which point is the midpoint of xy? a. q b. r …
D. S ### Second Question (Length of LM)
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the length of a rectangle is 4 yd less than three times the width, and …
Length: \( 11 \) yd, Width: \( 5 \) yd
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given the information below, match the following items. given statement…
1. converse - If two angles are complementary, then they add to \( 90^\circ \). 2. inverse - If two angles do not add to \( 90^\circ \), then they are not complementary. 3. contra…
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select the term that best describes the statement. geometry is fun or f…
D. disjunction
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select the term that best describes the statement. a triangle is obtuse…
B. conditional
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8. is the statement sometimes, always, or never true? image of two inte…
B. always
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the figure on the right is a scaled copy of the figure on the left, tho…
The side in the figure on the right that corresponds to segment \(RQ\) is \(CA\). ### Second Sub - Question: Scale Factor
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select the term that best describes the statement. if a polygon has eig…
conditional
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$2x - 5 > -11$ or $-10x - 6 \\geq 44$ click and drag the symbols to cre…
The solution to \(2x - 5 > -11\) is \(x > -3\) (graph with open circle at -3, arrow right), and the solution to \(-10x - 6 \geq 44\) is \(x \leq -5\) (graph with closed circle at …
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6. are ∠5 and ∠9 a linear pair, vertical angles, or neither? a. linear …
A. linear pair ### Question 7
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select the term that best describes the statement. all lines are straig…
C. disjunction
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4. if ( mangle 8 = 72^circ ), then ( mangle 9 = ? ) a. ( 72^circ ) b. (…
D. \( 108^\circ \) ### Question 5
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the figure on the right is a scaled copy of the figure on the left. ans…
\(DC\) ### Second Sub - Question: Scale Factor
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ag and drop the correct angle measure into the boxes below the angles. …
### Finding Supplements: #### For \( 14^\circ \): ## Step1: Recall supplement formula Supplementary angles sum to \( 180^\circ \). So, supplement \( = 180^\circ - 14^\circ \) \( 1…
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question the figure on the right is a scaled copy of the figure on the …
The side corresponding to segment \(MO\) is \(WX\). ### Second Sub - Question: Scale Factor
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diagrams with angles: 75° and 15°, 30° and 150°, 78° and 102°, 67° and …
To solve this, we analyze each pair of angles to see if they are complementary (sum to \(90^\circ\)), supplementary (sum to \(180^\circ\)), or neither. ### Row 1: \(75^\circ\) and…
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1. which of the following best describes an \obtuse angle\? a. an angle…
D. an angle whose measure is greater than ninety degrees
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write the coordinates of the vertices after a reflection over the y-axi…
\( R'(9, -4) \) \( S'(9, 1) \) \( T'(4, 1) \) \( U'(4, -4) \)
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1 calculate the distance between the following two points. a(3,7) b(6,1…
5 ### Problem 2: Distance between \( A(-7,3) \) and \( B(2,-1) \)
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the figure on the right is a scaled copy of the figure on the left. ans…
\(VU\) ### Second Sub - Question: Scale Factor
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10. find the perimeter of the triangle: image of coordinate grid with p…
B. $\sqrt{61}+11$ ### Question 11: (Assuming the triangle is the same as in question 10 with points A(-2,3), B(3,-3), C(-2,-3))
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9. find the perimeter of the triangle abd: image of a coordinate grid w…
A. \(5\sqrt{2}+10\)
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the figure on the right is a scaled copy of the figure on the left. whi…
The side corresponding to segment \( XZ \) is \( LN \). ### For the scale factor:
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8. find the area of the square abcd: a(1, 4), b(-3, 1), c(0, -3), d(4, …
B. 25
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7. find the perimeter of the square abcd: image of coordinate grid with…
C. 20 ### Question 8:
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write the coordinates of the vertices after a reflection over the y-axi…
\( B'(-8, 2) \) \( C'(-8, 9) \) \( D'(-5, 4) \)
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6. find the area of the figure: image of coordinate grid with triangle …
C. 6
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the figure on the right is a scaled copy of the figure on the left. ans…
\( VU \) ### Second Sub - Question: Scale Factor
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4. find the perimeter of the figure. figure: grid with x, y axes, label…
B. 20 ### Question 5: Find the area of the figure.
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write the coordinates of the vertices after a reflection over the x-axi…
\( E'(8, 9) \) \( F'(9, 9) \) \( G'(9, 4) \)
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2. find the perimeter of the figure: image of rectangle with length 10,…
D. 32 ### Question 3: Find the area of the figure
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the figure on the right is a scaled copy of the figure on the left. ans…
\( ON \) ### Part 2: Scale Factor
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i will use the distance formula to find the perimeter & area of coordin…
B. 5.7 units
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write the coordinates of the vertices after a reflection over the y-axi…
\( K'(9, 5) \) \( L'(0, 5) \) \( M'(8, 3) \)
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the triangle on the right is a scaled copy of the triangle on the left.…
$\frac{35}{8}$
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uncle paul had just cut down a pear-tree in the garden. the tree was ol…
C. They convey the idea that the way trees mark the years is fascinating.
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which set describes the graph? number line with open circle at 0, shade…
\(\{x | x > 0\}\)
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which of the following best describes an indirect proof? assume a state…
A. Assume a statement true and then show it must be false.
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two parallel lines are crossed by a transversal. what is the value of h…
\(h = 60\) (corresponding to the option \(h = 60\))
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two parallel lines are crossed by a transversal. what is the value of x…
\( x = 22 \) (corresponding to the option \( x = 22 \))
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two parallel lines are crossed by a transversal. what is the value of y…
\(y = 130\) (corresponding to the option \(y = 130\))
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find the ratios what is the ratio of the circumference of the larger ci…
\(\frac{3}{2}\)
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find the ratios what is the ratio of the diameter of the larger circle …
3:2
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two parallel lines are crossed by a transversal. what is the value of a…
\(a = 117\) (corresponding to the option \(a = 117\))
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find the ratios what is the ratio of the radius of the larger circle to…
3:2
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two parallel lines are crossed by a transversal. what is the value of x…
\(x = 115\) (the option: \(x = 115\))
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a statement that is proved by deductive logic is called a ______. optio…
theorem