Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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drag and drop the transformation name to match the picture. rotation re…
For the first picture with arrows moving in a straight - line pattern: Translation For the second picture with an arrow flipped: Reflection For the third picture with an arrow tur…
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triangle def with vertices d(-6, -1), e(-3, -2), and f(-5, -7): (a) ref…
$D''(6,-1)$ $E''(3,-2)$ $F''(5,-7)$
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in the figure below, m∠1 = 135°. find m∠2.
$45$
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c. mai wants to construct a regular hexagon inscribed in the circle cen…
A. Yes
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write a rule describing each translation below. rule:
\((x - 4,y - 3)\)
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rhombus klmn with vertices k(-3, 2), l(1, 4), m(-1, 0), and n(-5, -2): …
$K'(-1,-3)$ $L'(3,-1)$ $M'(1,-5)$ $N'(-3,-7)$
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3. 2w + 2l = 64 represents the perimeter of a rectangle. solve for l.
$L = 32 - W$
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square pqrs with vertices p(2, 6), q(6, 5), r(5, 1), and s(1, 2): 180° …
$P'(-2,-6)$ $Q'(-6,-5)$ $R'(-5,-1)$ $S'(-1,-2)$
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what will be the coordinates of point t after a 180° rotation about the…
\(T'(-3,-1)\)
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support ideas with examples review the following examples of technologi…
These technological innovations in navigation transformed European high - seas exploration by improving time - keeping, direction - finding, angle measurement, and mapping, making…
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priya followed this set of instructions to make quadrilateral acbd. dra…
D. 4 congruent sides and 4 congruent angles
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triangle abc with vertices a(2, 7), b(6, 5), and c(4, 1): 90° countercl…
$A'(-7,2)$ $B'(-5,6)$ $C'(-1,4)$
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11. find the value of the unknown length (x ) in these triangles. round…
a. $x = 1$ b. $x\approx2.11$ c. $x = 6$
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first we must set up our equ using the pythagorean the a² + b² = c² 4² …
153
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first we must set up our equa - using the pythagorean the - a² + b² = c…
The first box should be filled with 16 and the second box should be filled with 169.
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geometry unit 2 exam 2025 - 2026 test 2 write a rule describing the tra…
\((x,y)\to(x + 7,y - 4)\)
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find h. first we must set up our equation using the pythagorean theorem…
$h = 3\sqrt{17}\text{ cm}\approx12.37$ cm
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triangle abc with vertices a(0, 7), b(0, 3), and c(1, 4). (x, y)→(x +?,…
\(A'(3,7)\) \(B'(3,3)\) \(C'(4,4)\)
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for 17, 18, 19 - keep in mind comments at the top: parallel lines - ang…
a. $m\angle1 = 55^{\circ}$ b. $m\angle3 = 125^{\circ}$ c. $m\angle4 = 55^{\circ}$ d. $m\angle5 = 55^{\circ}$ e. $m\angle6 = 125^{\circ}$ f. $m\angle7 = 37^{\circ}$ g. $m\angle8 = …
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5. find the new vertices given the translation properties. triangle abc…
$A'(1,3)$ $B'(5,-4)$ $C'(-1,0)$
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you: if m∠3 = 74°, find each measure. note: l || m a. m∠1 = 74° e. m∠6 …
a. $m\angle1 = 74^{\circ}$ b. $m\angle2 = 74^{\circ}$ c. $m\angle4 = 74^{\circ}$ d. $m\angle5 = 106^{\circ}$ e. $m\angle6 = 74^{\circ}$ f. $m\angle7 = 74^{\circ}$ g. $m\angle8 = 1…
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trapezoid abcd with vertices a(-3, 6), b(0, 7), c(1, 4), and d(-5, 2). …
$A'(1,5)$ $B'(4,6)$ $C'(5,3)$ $D'(-1,1)$
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the distance from the center of a circle to any point on its circumfere…
1. radius 2. diameter 3. circumference 4. minor arc 5. major arc
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triangle abc with vertices a(-4, 2), b(4, 7), and c(5, 1) in the x - ax…
$A'(-4,-2)$ $B'(4,-7)$ $C'(5,-1)$
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with vertices p(1, 2), q(2, 5), r(?, 0) in the y - axis. find the new p…
$P'(-1,2)$ $Q'(-2,5)$ $R'$ (depends on original $R$ coordinates, but following $(-x,y)$ rule) $S'$ (depends on original $S$ coordinates, but following $(-x,y)$ rule)
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for each of the following quadrilaterals, select all the properties tha…
# Explicación: ## Paso 1: Propiedades de un paralelogramo Un paralelogramo tiene dos pares de lados paralelos por definición. No tiene necesariamente cuatro ángulos rectos ni todo…
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answer the questions about the figures below. figure a figure b figure …
(a) Figure C (b) Figure A, Figure B, Figure C (c) Figure B, Figure C
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chau carved this solid out of wood. find the volume of the solid.
# Explicación: ## Paso 1: Dividir el sólido en cubos rectangulares Podemos dividir el sólido en tres cubos rectangulares. Dos cubos rectangulares tienen dimensiones $7\times8\time…
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find the volume of the solid.
# Explicación: ## Paso 1: Dividir el sólido en dos prismas rectangulares Podemos dividir el sólido en un prisma con dimensiones 7 in × 4 in × 2 in y otro con dimensiones (9 - 7) i…
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the measure of ∠1 is 120° in degrees, what is the measure of ∠7? m∠7 = …
120
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powers and roots 1. what is the value of 7^7? 2. what is an equivalent …
1. 823543 2. $5^{11}$ 3. a) $10^{15}$; b) - 128; c) $x^{18}$; d) $64n^{12}$ 4. a) 7; b) 12 5. c) 476 6. c) 81 7. $-\frac{8}{125}$ Factors and Multiples: 1. 1, 2, 3, 4, 6, 8, 12, 2…
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the target in the figure shown to the right contains four squares. if a…
$\frac{3}{8}$
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geometry similar triangles assignment set up the proportions needed to …
1. $2x = 12\times3$ 2. $x=\frac{2\times3}{1}$ 3. $5x = 6\times8$ 4. $24x=(24 - 4)\times30$ 5. $18x = 15\times24$ 6. $12\times(15 - x)=15\times8$
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classify whether each pair of figures appears to be a rigid motion or n…
1. rigid motion 2. not a rigid motion 3. rigid motion 4. not a rigid motion
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what is a reflection rule that maps the triangle and its image? the ref…
\(r_{l}(x,y)=(-y, -x)\), where \(l\) is the line \(y = -x\)
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find the coordinates of the vertices of each figure after the given tra…
9) $S'(-1,-3),R'(2,1),Q'(0,1),P'(-3,-2)$ 10) $K'(-5,-3),L'(-1,-4),M'(-3,-1)$
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what are tertiary characters? main characters who play a role that help…
sub characters who play a role that helps the story come full circle
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figure jklm and pqrs are congruent. which line segment in figure pqrs c…
# Explicación: ## Paso 1: Identificar segmentos congruentes En figuras congruentes, los segmentos correspondientes son iguales. Si JKL M y PQRS son congruentes, el segmento JM cor…
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triangles abc and def are congruent. what is the measure of angle c? 42…
# Explicación: ## Paso 1: Recordar la propiedad de triángulos congruentes Los triángulos congruentes tienen ángulos correspondientes iguales. ## Paso 2: Identificar el ángulo corr…
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which sequence of transformations maps opqr onto opqr? a translation le…
a translation left 12 units followed by a reflection across the x - axis
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complete the proof that ∠xwz ≅ ∠ywz. statement\treason 1. ∠ywz ≅ ∠xyw\t…
3. Vertical - Angles Theorem; 4. Given; 6. Transitive Property of Congruence
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a telescope rotates in a circle to capture images of different stars. f…
180°
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annie jay whose merry - go - round shows the greater angle? annie jay
Annie
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question 10 of 10 which key comes next on the circle of fifths: c, g, d…
A. A
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16. lance the alien is 5 feet tall. his shadow is 8 feet long. at the s…
16. A. 20 feet 17. A. 3 feet 18. B. $\frac{PQ}{WX}=\frac{2}{4}$
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14. state if the triangles in each pair are similar. if so, state how t…
d. SAS similarity ### Question 15
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10. if triangles ade and abc shown in the figure below are similar, wha…
10. C. 4 11. (No correct option among given ones) 12. (No correct option among given ones)
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7. mr. bob wants to build a bridge across the creek that runs through h…
c. 12 feet
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4. △pqr is similar to △def as shown below. which describes the relation…
4. C. $\frac{PQ}{DE}=\frac{4}{6}$ 5. A. 35 cm 6. D. similar
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multiple choice - identify the choice that best completes the statement…
1. b. $\triangle ABC\sim\triangle EDF$ by AA Similarity Postulate 2. a. AA similarity 3. d. 21 units
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geometry midterm 25. a) scalene b) equilateral c) isosceles
C. isosceles
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20. find vw. x 2x + 17 u w 17 + x v a. 22 b. 11 c. 6 d. 17 21. a) equil…
20. d. 17 21. B. scalene 22. A. obtuse 23. A. acute 24. B. equilateral
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18. triangle pqr is similar to triangle wxy. which proportion describes…
18. B. \(\frac{PQ}{WX}=\frac{2}{4}\) 19. A. \(48^{\circ}\)
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problem 18: find x and y. after you enter your answer press go. x = y =
$x = 54$, $y = 36$
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what is the image of the point (2, -3) after a rotation of 180° counter…
$(-2,3)$
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figure a figure b figure b length ÷ figure b length verify short side 4…
No, NOT SIMILAR
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what type of special triangle is this?
C. 45°-45°-90°
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(c) problem 16: find x, y, and z.
$x = 60^{\circ}, y = 11^{\circ}, z = 58^{\circ}$
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theorem 4 - 7 angle - angle - side (aas) congruence criterion if two an…
Los triángulos $\triangle{UVW}$ y $\triangle{XYZ}$ son congruentes por el criterio AAS.
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25/26 find x.
\(60^{\circ}\)
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(c) problem 16: find x, y, and z. after you enter your answer press go.…
$x = 58$, $y = 31$, $z = 60$
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a line is graphed on the coordinate grid below. fill in the blanks usin…
The slope of the line is $0$ and the equation of the line is $y = 4$
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state which metric unit you would probably use to measure each item. 1.…
1. **State which metric unit you would probably use to measure each item**: - **Length of a computer - keyboard**: - # Explanation: ## Step1: Consider the size of a keyboard A key…
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problem 15: find x and y. (first taught in lesson 31) after you enter y…
$x = 25$, $y = 105$
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choose the correct values for x and y in the right triangle. y = 3\\sqr…
$y = 6\sqrt{3}$, $x = 9$
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problem 15: (first taught in lesson 31) find x and y. after you enter y…
$x = 25$, $y = 125$
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choose the correct values for x and y in the right triangle. x = 11 y =…
x = 11 y = 11√3
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problem 14: (first taught in lesson 17) from this given statement, sele…
The Linear - Pair Postulate.
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problem 13: (first taught in lesson 31) from this given statement, sele…
The Exterior - Angle Theorem
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problem 12: (first taught in lesson 36) select which shortcut can be us…
B. Side - Angle - Side
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find the length of the missing side.
80 in.
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problem 12: select which shortcut can be used to prove that this pair o…
We need more information about the markings on the triangles to determine the congruence - shortcut. If we assume from the visible markings (one side - pair marked equal and right…
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select which shortcut can be used to prove that this pair of triangles …
none
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select which shortcut can be used to prove that this pair of triangles …
none
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20/26 $a^{2}+b^{2}=c^{2}$ $b = 35$ $c = 37$ $a = 11$ $a = 14$ $a = 18$ …
$a = 12$
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problem 10: select the triangle that shows △abc with all three of its a…
A. The triangle with three lines drawn from each vertex perpendicular to the opposite side.
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choose the correct values for x and y in the right triangle. y = 3√3 x …
$x = 3\sqrt{3}$, $y = 6$
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(b) problem 9: (first taught in lesson 41) select the triangle that sho…
A. The triangle shown in the green - boxed area (assuming this is the correct visual representation of a triangle with all three medians).
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solve for x. round to the nearest tenth, if necessary.
$256.3$
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main idea: supporting details • read each paragraph and circle the topi…
1. Main Idea: A new school is being built. Supporting Details: It is near my house, watch workers with tractors and a crane, will go there in the fall. 2. Main Idea: Giant pandas …
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(b) problem 9: (first taught in lesson 41) select the triangle that sho…
(No options are given for us to select, so we can't provide a specific answer from A - E. But conceptually, a median of a triangle is a line - segment joining a vertex to the mid …
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(a) problem 8: (first taught in lesson 41) if $overline{bp}perpoverline…
B. altitude
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choose the correct values for x and y in the right triangle. x = 5√6 / …
$x = 5$, $y = 10$
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problem 7: if m is the midpoint of $overline{ac}$, then $overline{bm}$ …
A. median
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problem 6: (first taught in lesson 31) complete this sentence with the …
The measure of an exterior angle of a triangle is equal to the **sum** of the measures of the two **remote** interior angles. So the correct option is not shown among A - E as pre…
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the pythagorean theorem only works on which triangle? obtuse right isos…
B. right
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problem 5: lesson 36) complete this sentence with the best of the choic…
None of the options are shown completely. But the correct answer for the statement "According to the shortcut, two triangles are congruent if all three of their corresponding side…
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problem 4: (first taught in lesson 41) complete this sentence with the …
A. perpendicular bisector
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choose the correct values for x and y in the right triangle. select all…
$x = 4\sqrt{3}$, $y = 4\sqrt{6}$
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choose the correct values for x and y in the right triangle. y = 6√2 y …
$x = 3\sqrt{2}$, $y = 6$
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find the value of x.
18
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the given tessellation formed by two or more regular polygons is shown.…
a. Triangle, squares b. At each vertex, the number of angles and their measures combine to 360°. For instance, 2 squares (each with 90° angle) and 3 triangles (each with 60° angle…
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12/26 find x.
6
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use the diagram to name a pair of perpendicular lines. mk and ls np and…
$\overleftrightarrow{NP}$ and $\overleftrightarrow{PQ}$
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casey travels from her house directly west to the bank and then directl…
40 miles
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what type of pair of angles are ∠6 and ∠13? 9 10 11 12 6 13 14 8 15 16 …
Consecutive interior angles
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choose the correct values for x and y in the right triangle. x = 12\\sq…
$x = 12$, $y = 12\sqrt{2}$
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the angle bisector of $angle pqr$ is $overrightarrow{qe}$. if $mangle p…
C. $4n^{\circ}$
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the angle bisector of ∠pqr is $overrightarrow{qe}$. if m∠pqe = 2$n^{cir…
C. $4n^{\circ}$
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structure what type of pair of angles are corresponding angles alternat…
No specific answer as no particular angle - pair is indicated.