Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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20. congruent triangles are while similar triangles are the same shape …
The first blank: the same shape and size; the second blank: different sizes
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19. determine how the triangles below are congruent. name the theorem: …
ASA
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5. how many peach trees grew at least 10 units tall? 6. what is the slo…
30 ### 6.
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12. are the triangles below congruent or similar?
The triangles are similar.
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17. determine how the triangles below are congruent.
The triangles are congruent by the SSS (Side - Side - Side) congruence postulate.
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the face of a watch is a regular polygon. find the measure of each inte…
$150^{\circ}$
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in circle u, vt = 90 inches. what is the length of arc zv? (squarepi) i…
$26$
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given $overline{ed}congoverline{db}$, which statements about the figure…
$\overline{EB}$ is bisected by $\overline{DF}$
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what is the hypotenuse of the triangle shown? ab ∠a bc ac
AB
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what is the length of the hypotenuse?
34
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what is the length of the side adjacent to ∠a? 40 50 30
40
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7. connecting to real life the border of a susan b. anthony dollar is a…
$147^{\circ}$
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solve the inequality and graph the solution on the line provided. -6x +…
Inequality Notation: $x\geq3$ Number Line: Draw a number - line. Mark a closed circle at 3 (because the inequality is $\geq$) and shade to the right of 3.
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determining a missing length which expression represents the measure of…
C. $x + 5$
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what is the length of the side opposite ∠x?
16
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which side is opposite of angle a?
5
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16. 0.00023 2.3×10^(-4) 17. 0.97 9.7×10^(-1) 18. 0.00000894 8.94×10^(-7…
16. \(=\) 17. \(=\) 18. (No question provided for 18 in the clear part, assuming it's a formatting issue) 19. (No clear operation for 19 in the provided text) 20. \(=\) 21. \(<\) …
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marc commutes to work on his bicycle, which has tires that measure 26 i…
31,692 in.
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solve the inequality and graph the solution on the line provided. 6 + 8…
Inequality Notation: $x\geq - 5$ Number - Line: On the number line, draw a closed circle at - 5 (because the inequality is $\geq$) and draw an arrow to the right.
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6. find the value of x.
$x = 90$
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solve the inequality and graph the solution on the line provided. 8x + …
Inequality Notation: $x\geq - 5$ Number Line: Draw a number line. Mark a closed - circle at - 5 (because the inequality is $\geq$) and shade to the right of - 5.
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what is the area of this figure? if necessary, round your answer to the…
$202.28$ square feet
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which statement is true about this argument? premises: if a quadrilater…
The argument is valid by the law of syllogism.
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9. un triangle rectangle possède des catètes qui mesurent (2x10^8) cm e…
$6\times10^{12}$ cm
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question solve for k and w.
$w = \frac{5\sqrt{5}}{2}$, $k=\frac{5\sqrt{15}}{2}$
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solve the inequality and graph the solution on the line provided. 6 + 7…
Inequality Notation: $x\leq - 3$ Number Line: Draw a number line. Put a closed - circle at - 3 (because the inequality is $\leq$) and shade to the left of - 3.
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question solve for w and k. answer attempt 1 out of 4 k = w =
$k=\sqrt{3}$ $w = 2\sqrt{3}$
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which statement is true about this argument? premises: if a triangle ha…
The argument is not valid because the conclusion does not follow from the premises.
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find the length of side x in simplest radical form with a rational deno…
$3\sqrt{3}$
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question solve for x and w. answer attempt 1 out of 3 x = w =
$x = 24\sqrt{2}$ $w=12\sqrt{2}$
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which statement is true about this argument? premises: if two lines are…
The argument is not valid because the conclusion does not follow from the premises.
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question solve for k and w.
$w = \frac{5\sqrt{5}}{2}$, $k=\frac{5\sqrt{15}}{2}$
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solve the inequality and graph the solution on the line provided. 19 + …
Inequality Notation: $z < 7$ Number - Line: Draw a number line. Put an open circle at 7 (since $z$ is less than 7, not less than or equal to) and shade the line to the left of 7.
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chloe draws three parallelograms. in each figure, she measures a pair o…
In a parallelogram, consecutive angles are supplementary.
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question solve for w and k.
$k = 4$, $w = 4\sqrt{3}$
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timothy draws three isosceles triangles. in each figure, he measures a …
In an isosceles triangle, two of the angles are congruent.
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question solve for w and x. answer attempt 1 out of 3 w = x =
$W = 2\sqrt{3}$ $x = 4$
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solve the inequality and graph the solution on the line provided. 15 + …
Inequality Notation: $x\leq - 1$ Number Line: Mark a closed - circle at - 1 and shade to the left.
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derive the formula for the circumference of a circle with radius r by f…
$2\pi r$
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kathryn draws three pairs of intersecting lines. in each figure, she me…
When a pair of lines intersect, the vertical angles are congruent.
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find the surface area of this sphere. sphere formulas sa = 4πr² v = $\f…
$196$
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find the volume of this sphere. sphere formulas sa = 4πr² v = $\frac{4}…
$\frac{10976\pi}{3}$
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1. because all circles are similar, set up a proportion of the circumfe…
$\pi$
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find the volume of this sphere. sphere formulas sa = 4πr² v = $\frac{4}…
$8788$
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look at this rectangle. find the value of t. perimeter = 46 millimeters…
$15$
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10. 4.38×10^(-2) 11. 6.2×10^(-8) 12. 2×10^(-4) 13. 5,000 directions: wr…
10. $0.0438$ 11. $0.000000062$ 12. $0.0002$ 13. $5\times10^{3}$ 14. $7.4\times10^{6}$ 15. $2.88\times10^{2}$ 16. $2.3\times10^{-4}$ 17. $9.7\times10^{-1}$ 18. $8.94\times10^{-8}$ …
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what is the missing length? area = 48 in² t = inches 12 in
8
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the circumference of a circle is 3π meters. what is the radius? c = 3π …
$\frac{3}{2}$
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what is the missing length? area = 255 m² v = meters
15
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examples: 1. graph points a (3, 7), b (3, 4), and c (9, 4) and the segm…
$d_{AB}=3$, $d_{BC}=6$, $d_{AC}=3\sqrt{5}$ ### 2.
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find each missing angle measure. 2. (65x - 12)° (43x + 10)°
$53^{\circ}$
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kimberly wants to paint all the surfaces of the table shown below. whic…
C. the surface area of 1 rectangular prism and 4 cylinders
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2. identify each missing angle measure. vertical (65x - 12)° (43x + 10)°
\(53^{\circ}\)
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rectangular arrays/area models: grids or drawings to represent the divi…
1. 6 counters 2. 3 counters
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r(45, 85) and s(77, 90) are the endpoints of a line segment. what is th…
$(61,87.5)$
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a line segment has the endpoints g(1, 13) and h(20, 18). find the coord…
$(10.5,15.5)$
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a line segment has the endpoints s(-12, 18) and t(-20, -10). find the c…
$M=(-16,4)$
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quadrilateral a has side lengths 3, 4, 5, and 6. quadrilateral b is a s…
B. 6, D. 8
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j(0, 2) and k(12, -16) are the endpoints of a line segment. what is the…
$(6,-7)$
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11. clare created figure a. then she created figure b by translating tr…
a. Figure A is congruent to Figure B c. Triangle C is congruent to Triangle C' d. Triangle D' is congruent to Triangle D
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a line - segment has the endpoints j(5, 11) and k(20, 2). find the coor…
$(12.5,6.5)$
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4. the following two polygons are similar. find the missing side length…
D. 22.1 in
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p(1, 0) and q(9, 8) are the endpoints of a line segment. what is the mi…
$(5,4)$
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if each square weighs 10 pounds and each circle weighs x pounds, then t…
Since the diagrams for parts a - f are not provided, I'll assume a general approach for creating equations based on the given weights. # Explanation: The key idea is that for a ba…
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3. the following two triangles are similar. find the missing side lengt…
C. 5
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a line - segment has the endpoints g(9, 2) and h(3, 2). find the coordi…
$(6,2)$
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2. true or false, rectangles hijk and pqrs are similar.
true
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3. lisa is wondering how she could find the total area of just the walk…
Follow the above four - step process to find the total area of the walking paths.
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st has endpoints at s(0, 4) and t(8, 10). find the midpoint m of st. wr…
$(4,7)$
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point d is on segment dc. segment bc measures 8x units in length. what …
144
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2. this hanger containing 2 pentagons and 6 circles is in balance. use …
1. A hanger with 1 pentagon and 3 circles. 2. A hanger with 4 pentagons and 12 circles.
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5. which number line represents the solution to the inequality 5 - 3x <…
The number - line with an open circle at - 2 and an arrow pointing to the right represents the solution.
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the area of a circle is 9π square centimeters. what is the diameter? a …
6
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the circumference of a circle is 20π miles. what is the diameter? c = 2…
20
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the coordinates of the endpoints of cd are c(-6, -1) and d(6, 5). point…
$(-4,0)$
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the coordinates of the endpoints of gh are g(2, 7) and h(11, 16). point…
\((6,11)\)
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graph the solution set of the following inequality. |2x - 5| > 9 one po…
The solution set is \(x<-2\) or \(x > 7\). On the number line, we have open - circles at \(x=-2\) and \(x = 7\), and we shade the regions to the left of \(x=-2\) and to the right …
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what is the midpoint of $overline{lq}$? -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 …
point N
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point s lies on qr such that qs:rs is 4:3. graph s.
The point \(S\) is at \((7,9)\). Plot the point \((7,9)\) on the graph.
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tonya and pearl each completed a separate proof to show that alternate …
Pearl completed the proof incorrectly because she misidentified $\angle AKL$ and $\angle GKB$ as adjacent angles instead of vertical angles in step 2 of her proof.
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the area of a circle is 4π square miles. what is the radius? a = 4π mi²…
2
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the figure shows adjacent angles bac and cad. given: m∠bad = 134°, m∠ba…
Part A: $x = 22$ Part B: $m\angle CAD=87^{\circ}$
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the circumference of a circle is 18π kilometers. what is the diameter? …
18 kilometers
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Question was provided via image upload.
30
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the circumference of a circle is 16π inches. what is the radius? c = 16…
8
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35 63 56 48 54 ?
\(72.25\)
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the circumference of a circle is 10π inches. what is the diameter? c = …
10 inches
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? 48 54 63 35 56
30
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2. what is the overall area of the gardening space? (the gardening spac…
$A = l\times w$ square units (where $l$ and $w$ are the length and width of the overall gardening space respectively)
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Question was provided via image upload.
5
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Question was provided via image upload.
10
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of the following inequality. |2x - 7| < 1 one point graph point 1 solid…
The solution of the inequality \(|2x - 7|\lt1\) is \(3\lt x\lt4\). On the number - line, the open circles are at \(x = 3\) and \(x = 4\), and the shading is between them.
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10 8 14 4 7 ?
5
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12 ? 24 15 25
20
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question 2 (essay worth 10 points) (mc) jaymie wants to construct congr…
The similarity is that both use a compass to measure and transfer lengths and a straight - edge to draw straight lines in their geometric construction tasks.
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set up ratios to find the missing side. 10 15 24 15
16
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a soccer ball is kicked 6 m north. then a teammate kicks it 3 m east in…
9 m
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2. what is the overall area of the gardening space? (the gardening spac…
$A$ square units (where the actual values of $l$ and $w$ need to be determined from the full problem - context)
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what is the area? 10 in 13 in square inches
130
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what is the friendliest kind of airplane? circle out the box containing…
1. $1\frac{1}{4}$ gal 2. 5 s 3. $\frac{3}{8}$ c 4. 7.5 ft 5. $\frac{1}{10}$ 6. $\frac{4}{5}$ (assuming one - bottle amount) 7. $\frac{3}{5}$ 8. $2\frac{1}{3}$ oz 9. $\frac{1}{12}$…