Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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pregunta ¿cuál es la suma de los ángulos interiores de un hexágono? res…
$720^{\circ}$
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the vertical cross - sectional shapes of this prism are all congruent t…
A. True
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a right triangle and two of its side lengths are shown in the diagram. …
23.7 cm
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¿cuál es la medida de cada ángulo de un 16 - gono regular? si es necesa…
$157.5^{\circ}$
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the measure of an angle is 66.5°. what is the measure of its supplement…
$113.5$
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a graphic designer wants to translate rectangle defg using $t_{-1,2}(x,…
The coordinates of the image are $D'(-2,5),E'(3,5),F'(3,3),G'(-2,3)$
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question 1 - 8 which of the following can be used to verify that ∠1 and…
They are vertical angles.
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which of the following is a ray drawn in the figure below?
$\overrightarrow{YU}$
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the measure of an angle is 80°. what is the measure of its complementar…
$10$
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some polyhedrons are both prisms and pyramids. a. true b. false
B. False
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utilizando diagonales de un vértice común, ¿cuántos triángulos podrían …
# Explicación: ## Paso1: Identificar el número de lados del polígono El polígono mostrado es un hexágono, que tiene 6 lados ($n = 6$). ## Paso2: Aplicar la fórmula para calcular e…
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pregunta ¿cuál es la medida de cada ángulo de un octógono regular? si e…
$135.0^{\circ}$
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triangle qrs has vertices q(8, -6), r(10, 5), and s(-3, 3). what are th…
$Q'=(0.4,-1.7)$ $R'=(2.4,9.3)$ $S'=(-10.6,7.3)$
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which of the following terms correctly describe the object below? check…
B. Pyramid, F. Polyhedron
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which of the angles are supplementary? ○ ∠kxp and ∠nxp ○ ∠kxt and ∠pxq …
$\angle KXP$ and $\angle NXP$
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find the midpoint between: (2, 4) and (-6, -8)
$(-2,-2)$
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which rule describes the translation? (x,y)→(x - 8,y - 3) (x,y)→(x - 3,…
\((x,y)\to(x + 8,y - 3)\)
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name each angle in four ways. 19) 20) 21) 22)
For figure 19: $\angle C$, $\angle BCD$, $\angle DCB$, $\angle 5$ For figure 20: $\angle F$, $\angle EFG$, $\angle GFE$, $\angle 5$ For figure 21: $\angle K$, $\angle JKL$, $\angl…
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points today 1 points this week 1 current skill $ find the midpoint bet…
$(-4.5,2.5)$
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all cross - sectional shapes that are parallel or perpendicular to one …
D. prism
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a rectangular prism has a length of 14 cm, a width of 4 cm, and a heigh…
$216$ $cm^{2}$
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which of the angles are complementary? ∠ nxp and ∠ pxq ∠ jxk and ∠ pxq …
∠NXP and ∠PXQ
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question 1 of 10 a polyhedron is a solid bounded by the polygonal regio…
A. True
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what is the midpoint of the segment that joins the points (16, 19) and …
$(3.5,2)$
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assume each figure shown has the same orientation. which figure is the …
Figure 4
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question 1 - 5 which of the following is not true about a linear pair o…
The angles must be complementary.
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a triangle is drawn on the coordinate plane. it is translated 4 units r…
(x, y)→(x + 4,y - 3)
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which of the following is the inverse of this statement? if the measure…
If the measure of an angle is not 90 degrees, then the angle is not a right angle.
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find the distance d(p₁,p₂) between the given points p₁ and p₂. p₁=(1,0)…
$5$
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which angles are supplementary to each other? ∠5 and ∠4 ∠2 and ∠6 ∠1 an…
$\angle1$ and $\angle2$
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classify each angle as acute, obtuse, right, or straight. 27) 28) 29) 3…
27) Acute 28) Straight 29) Obtuse 30) Right
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given angles p, q, r, and t shown, which statement best describes a cha…
If we assume from the visual representation and angle - relationship knowledge, if two angles add up to 90°, the statement “\(\angle P\) and \(\angle Q\) are complementary” best d…
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which angles are complementary to each other? ∠5 and ∠4 ∠1 and ∠4 ∠3 an…
# Explicación: ## Paso 1: Recordar la definición de ángulos complementarios Dos ángulos son complementarios si la suma de sus medidas es de 90 grados. ## Paso 2: Analizar los ángu…
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9. hierarchy : leader :: (a) pyramid : apex (b) earth : equator (c) sph…
9. (b) earth : equator 10. (b) invalid : health
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complete the sentence below. the distance d between two points p1=(x1,y…
$\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$
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question 1-2 suppose you are given one angle of each of the types liste…
acute, right, obtuse
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which angles are complementary to each other? ∠5 and ∠1 ∠5 and ∠3 ∠3 an…
# Explicación: ## Paso 1: Recordar la definición de ángulos complementarios Dos ángulos son complementarios si la suma de sus medidas es de 90 grados. ## Paso 2: Analizar los ángu…
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which angles are adjacent to each other? ∠3 and ∠4 ∠7 and ∠5 ∠2 and ∠7 …
# Explicación: ## Paso 1: Definir ángulos adyacentes Los ángulos adyacentes comparten un lado común y un vértice común, y no se superponen. ## Paso 2: Analizar opciones - $\angle3…
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question 1-1 answer each as true or false (2 points each) a. linear pai…
a. False b. True c. True
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question: what is the image of the point (5, - 6) after a rotation of 9…
$(6,5)$
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question what is the image of the point (6, -1) after a rotation of 270…
$(-1,-6)$
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which angles are vertical to each other? ∠6 and ∠11 ∠7 and ∠8 ∠11 and ∠…
# Explicación: ## Paso1: Recordar la definición de ángulos verticales Los ángulos verticales son aquellos que se forman al intersecar dos rectas y son opuestos por el vértice. ## …
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what is the image of the point (-1, -3) after a rotation of 90° counter…
$(3,-1)$
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which angles are complementary to each other? 1 2 3 4 5 ∠1 and ∠5 ∠1 an…
# Explicación: ## Paso 1: Recordar la definición de ángulos complementarios Dos ángulos son complementarios si la suma de sus medidas es de 90°. ## Paso 2: Analizar los ángulos da…
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which angles are congruent to each other? ∠1 and ∠10 ∠3 and ∠1 ∠8 and ∠…
# Explicación: ## Paso 1: Identificar ángulos verticales Los ángulos verticales son congruentes. Los ángulos verticales se forman cuando dos rectas se intersectan. ## Paso 2: Anal…
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which angles are supplementary to each other? ∠7 and ∠2 ∠5 and ∠8 ∠3 an…
# Explicación: ## Paso 1: Recordar la definición de ángulos suplementarios Dos ángulos son suplementarios si la suma de sus medidas es de 180 grados. En una intersección de rectas…
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which angles are vertical to each other? ∠10 and ∠16 ∠13 and ∠15 ∠13 an…
# Explicación: ## Paso 1: Definición de ángulos verticales Los ángulos verticales son aquellos que se forman cuando dos rectas se intersectan y son opuestos por el vértice. Tienen…
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32) b 94° b + 94°
$94^{\circ}$
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which statement is true about the circumcircle of a triangle? a. it is …
1. B. It passes through all the vertices of a triangle 2. A. A line or segment that divides an angle into two congruent angles
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which angles are complementary to each other? ∠3 and ∠4 ∠2 and ∠3 ∠2 an…
# Explicación: ## Paso 1: Recordar la definición de ángulos complementarios Dos ángulos son complementarios si la suma de sus medidas es igual a 90°. ## Paso 2: Analizar las opcio…
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directions read the passage. then read each question. circle the letter…
1. B. Cowboys of Texas 2. C. moved along slowly 3. A. These large animals 4. D. Sentence fragment 5. A. They
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each figure below is a parallelogram. use the properties you know to so…
$x = 9$ $y = 10$ $m\angle M=128^{\circ}$ $m\angle A = 52^{\circ}$ $m\angle I=52^{\circ}$
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which angles are complementary to each other? ∠2 and ∠4 ∠5 and ∠1 ∠3 an…
# Explicación: ## Paso 1: Recordar la definición de ángulos complementarios Dos ángulos son complementarios si la suma de sus medidas es igual a 90°. ## Paso 2: Analizar los pares…
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which angle is supplementary to ∠2? ∠3 ∠6 ∠5 ∠1
∠5
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what characterizes the incircle of a triangle? a. it passes through all…
1. c. It is inscribed within a triangle and touches all three sides 2. b. Incenter 3. b. It passes through all the vertices of a triangle
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which angle is complementary to ∠6?
# Explicación: ## Paso1: Recordar la definición de ángulos complementarios Dos ángulos son complementarios si la suma de sus medidas es de 90 grados. ## Paso2: Observar el diagram…
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which angle is complementary to ∠3?
∠4
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the point where the perpendicular bisectors of a triangle intersect is …
1. d. Circumcenter 2. c. Equilateral triangle 3. c. Circumcenter
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3. the picture shows a bridge between two parallel river banks. what an…
3. 68° 4. (Need full diagram to determine exactly) 5. (Need full diagram to determine exactly) 6. (Need more information about the diagram) 7. No, because if ∠1 and ∠2 are related…
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what point is equidistant from all sides of a triangle? a. circumcenter…
1. b. Incenter 2. b. Circumcenter 3. d. Outside the triangle
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which angle is congruent to ∠1?
# Explicación: ## Paso1: Identificar ángulos opuestos por el vértice Los ángulos opuestos por el vértice son congruentes. El ángulo ∠1 y el ángulo ∠3 son opuestos por el vértice. …
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find the surface area of the prism using the net. what is the area of t…
$32$ $cm^{2}$
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find the surface area of the prism using the net. what is the area of t…
The area of the bottom rectangle is $36$ $cm^{2}$. The surface area of the prism is $172$ $cm^{2}$.
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what is the image of the point (3, - 4) after a rotation of 180° counte…
$(-3,4)$
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which angle is congruent to ∠1? ∠5 ∠4 ∠2 ∠6
∠4
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find the surface area of the prism using the net. what is the area of t…
Side rectangles: $144$ $cm^2$ Bottom rectangle: $36$ $cm^2$ Surface Area: $244$ $cm^2$
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which angle is supplementary to ∠4? ∠1 ∠5 ∠3 ∠2
∠5
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which angle is supplementary to ∠3?
∠6
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13. which theorem states that any angle inscribed in a semi - circle is…
13. a. Thales' Theorem 14. a. Sector Area = 0.5×Radius²×Central Angle (in radians) 15. d. 40°
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10. what is the relationship between the radius and circumference of a …
10. None of the given options are correct. The correct relationship is Circumference = $2\pi\times$Radius. 11. C. $130^{\circ}$ 12. C. Median
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7. which point is equidistant from all sides of a triangle? a. incenter…
7. a. Incenter 8. c. They divide each side into equal halves. 9. a. $\frac{64\pi}{3}$ square meters
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choose the correct answer below. a. the slope of a line compares the ve…
A. The slope of a line compares the vertical change (the rise) to the horizontal change (the run) when moving from one fixed point to another along the line. It is defined as $\fr…
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4. which of the following angles is equivalent to π/6 radians? a. 60 de…
4. B. 30 degrees 5. A. Square centimeters 6. B. Equilateral triangle
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1. what is the first step to construct the centroid of a triangle? a. c…
1. d. Identify the midpoints of each side 2. c. 10 cm 3. a. $90^{\circ}$
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the center of the incircle of a triangle is known as the the center of …
1. In - center 2. Circum - center 3. Centroid 4. Perpendicular 5. Equal 6. Sides 7. Vertices
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point u is located at (-4, -5) on the coordinate plane. point u is refl…
$(-4,5)$
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the point where the angle bisectors of a triangle intersect is called t…
1. in - center 2. incircle 3. circum - center 4. circumcircle 5. centroid 6. ortho - center 7. median 8. in - center
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in which triangle do the centroid and circumcenter lie at the same loca…
1. c. Equilateral triangle 2. a. It is located at the midpoint of the hypotenuse 3. b. It divides each median into a ratio of 2:1
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graph the following equation in a rectangular coordinate system. x = 7.…
A vertical line passing through the point $(7,0)$ on the $x$-axis where for all real - values of $y$, $x = 7$.
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22. find lm. 23. find vw. 24. find yz. point b is between a and c on $o…
22. $LM = 6$ 23. $VW = 14$ 24. $YZ = 14$ 25. $x = 5$, $AB = 15$, $BC = 5$ 26. $x = 4$, $AB = 3$, $BC = 24$ 27. $x = 6$, $AB = 31$, $BC = 22$
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which sentence correctly uses the word entangled? ○ the entangled movie…
We had to stop fishing after our lines became entangled.
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graph the horizontal or vertical line. y = 5 use the graphing tool to g…
Draw a horizontal line passing through the point \((0,5)\) on the \(y -\)axis. All points on this line have a \(y -\)coordinate of 5.
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what is the primary use of the circumcenter in a real - world applicati…
1. c. Designing objects that need to be equidistant from multiple points 2. a. By intersecting the angle bisectors of the triangle 3. c. It is not directly involved in constructin…
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what is the image point of (-8, -5) after a translation right 1 unit an…
$(-7,-10)$
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what is the first step to construct the centroid of a triangle? a. cons…
1. B. Identify the midpoints of each side 2. C. Centroid 3. B. Circumcenter
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for the triangles to be congruent by hl, what must be the value of x? 2…
4
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figure 1 and figure 2 below are congruent. which side corresponds to si…
Side YZ
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the triangles are congruent by sss or hl. which transformation(s) can m…
reflection, then translation
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find the measure of ∠wzx. draw
$181^{\circ}$
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4. write at least 2 conjectures about the polygons you made. type a res…
Conjecture 1: The sum of the interior angles of a polygon with \(n\) sides is \((n - 2)\times180^{\circ}\). Conjecture 2: In a regular polygon, the measure of each interior angle …
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¿cuál es la suma de los ángulos interiores del polígono que se muestra …
$3240^{\circ}$
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lesson 1.3 practice a continued for use with pages 9 - 14 in the diagra…
# Explicación: ## Paso1: Analizar la relación entre los segmentos Como $PR = PQ+QR$ y $PQ = QR$, entonces $PR = 2PQ$. ## Paso2: Calcular la longitud de $PQ$ Dado que $PR = 18$ y $…
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which value of x would make △suv≅△tuw by hl? 2 3 4 5 2x + 9 4x - 1
5
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which shows two triangles that are congruent by the sss congruence theo…
The second option shows two triangles that are congruent by the SSS congruence theorem.
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find the measure of ∠jml.
$126^{\circ}$
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triangle congruence worksheet for each pair to triangles, state the pos…
1. SAS 2. SSS 3. ASA 4. ASA 5. ASA 6. ASA 7. AAS 8. SAS 9. ASA 10. AAS 11. ASA 12. SSS
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find the measure of ∠ehg.
$195^{\circ}$
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find the measure of ∠adc.
$78^{\circ}$
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find the measure of ∠lon.
$138^{\circ}$
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use the number line to find the indicated distance. 12. jk 13. kl 14. l…
12. $JK = 5$ 13. $KL = 4$ 14. $LM = 6$ 15. $JL = 9$ 16. $JM = 15$ 17. $KM = 10$