Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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an angle measures 80.6° more than the measure of its complementary angl…
$85.3$ and $4.7$
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find the range of values for x. 2x - 4 10 45° 60° ? < x <
\(2<x<12\)
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given 6 and 13 as the lengths of two sides of a triangle, find the rang…
\(7<x<19\)
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name tievon clay find the volume 2 (metric) find the volume of these re…
$8$ $cm^3$, $24$ $cm^3$, $16$ $cm^3$, $28$ $cm^3$, $27$ $cm^3$, $45$ $cm^3$, $60$ $cm^3$, $40$ $cm^3$, $64$ $cm^3$
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x = 15 x = 50 y = 50 y = 15 what is the axis of symmetry?
# Explicación: ## Paso 1: Identificar la ecuación del eje de simetría Para una parábola, el eje de simetría es una línea vertical de la forma $x = a$. Mirando la gráfica, la línea…
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if line l is parallel to line k, then they will never intersect. choose…
If lines L and K intersect, then they are not parallel lines.
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the location of the incenter of $\triangle abc$ is: point e point f poi…
If the point of intersection of the angle bisectors of $\triangle ABC$ is Point D (assuming from the context of the multiple - choice options and the figure, where Point D is the …
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ae is an angle bisector of ∠bac. if m∠bae = x + 30 and m∠eac = 3x - 10,…
20
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the measure of an angle is thirty - five times the measure of its suppl…
$175$ and $5$
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ae = ec and bf = fc. ba = 18, de = 7, and bc = 14. fe = ?
9
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which of the following relationships proves why △adc and △bcd are congr…
HL
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the location of 4 houses is shown on the coordinate plane. consider a l…
The two line - segments are neither parallel nor perpendicular.
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what is the y - intercept? (2,2) (0,2) none (2,0)
# Explicación: ## Paso 1: Definir intersección y - eje La intersección y - eje es el punto donde la gráfica cruza el eje y, con x = 0. ## Paso 2: Identificar en la gráfica Observa…
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which postulate proves these two triangles are congruent? asa hl ssa no…
B. HL
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an angle measures 26° more than the measure of its complementary angle.…
58, 32
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the triangle below is equilateral. find the value of y. 60° (2y + 4)° y…
28
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three angles are shown. the measure of angle rtw = 36°, the measure of …
$28.5$
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$\\triangle abc\\cong\\triangle edc, ab = 8, bc = 5, dc=?$
5
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which pair of angles are same side interior angles? answer attempt 1 ou…
4 and 6
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which postulate would prove these two triangles are congruent? asa neit…
A. ASA
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7. complete the proof. given: ad is the perpendicular bisector of bc an…
\(x = 7\)
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which postulate would prove these two triangles are congruent? neither …
C. SSS
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a segment ab is partitioned as shown. complete the statement. the ratio…
\(\frac{3}{7}\)
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angles 5 and 4 are answer attempt 1 out of 2 alternate exterior alterna…
Same side Interior
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what is the image of the point (8, -6) after a rotation of 180° counter…
# Explicación: ## Paso 1: Aplicar la regla de rotación de 180° La regla para rotar un punto \((x,y)\) 180° en el sentido anti - reloj alrededor del origen es \((x,y)\to(-x,-y)\). …
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if δabc ≅ δdec, ∠b = x + 15 and ∠e = 6x - 65. x = ?
$16$
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angles 2 and 6 are answer attempt 1 out of 2 corresponding alternate in…
Corresponding
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the following diagram depicts a construction of copying a line segment.…
$6.7$
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a conditional statement is given. \if an angle is acute, then its measu…
The statement "If an angle is acute, then its measure will be greater than 90°" is not a true statement. Therefore, the statement can be rewritten as "If an angle is acute, then i…
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graph the compound inequality. 524 < x < 528 plot the endpoints. select…
Place open circles at 524 and 528 on the number line and draw a line segment between them.
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how many lines can be constructed through point p that are perpendicula…
1
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a conditional statement is given. if a polygon is a rectangle, then it …
False
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name the angle relationship. answer attempt 1 out of 2 alternate interi…
Alternate Interior
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solve for b. 68.5° 49.5° b b = ?°
\(118\)
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the length of a rectangle measures 4.7×10² cm and the width measures 3.…
C. $1.692\times 10^{6}$ $cm^{2}$
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name the corresponding angle to angle 4. answer attempt 1 out of 2 8 2 …
A. 8
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what is the relationship between lines c and d? c ? d
||
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graph the compound inequality. x ≤ 802 or x > 803 plot the endpoints. s…
On the number - line, place a closed circle at 802 and draw a ray to the left. Place an open circle at 803 and draw a ray to the right.
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solve for x to make a||b. (15x + 30)° 75° a b x = ?
\(x = 3\)
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name the alternate interior angle to angle 3. answer attempt 2 out of 2…
6
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the volume v of a cone in terms of its radius r and height h is given b…
# Explicación: ## Paso1: Despejar la altura $h$ en la fórmula del volumen del cono. Dado $V=\frac{1}{3}\pi r^{2}h$, multiplicamos ambos lados por 3 para eliminar la fracción: $3V …
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a statement is given. \an angle bisector divides an angle into two cong…
An angle bisector does not divide an angle into two congruent parts.
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solve for x to make a||b. (5x)° 115° x = ?
\(x = 23\)
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name the alternate interior angle to angle 3. answer attempt 1 out of 2…
6
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graph the compound inequality. x ≥ -35 and x ≤ -31 plot the endpoints. …
On the number - line, place closed circles at $x=-35$ and $x=-31$ and shade the segment between them.
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name the angle relationship. answer attempt 1 out of 2 alternate interi…
A. Alternate Interior
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graph the compound inequality. -692 < x ≤ -686 plot the endpoints. sele…
Plot an open circle at $-692$ and a closed circle at $-686$, and shade the region between them on the number line.
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which angle forms a corresponding pair with angle 3? 6 7 5 1
7
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answer attempt 1 out of 2 alternate interior alternate exterior corresp…
Corresponding
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ample 3 a) write another name for ∠cbf. b) name the sides of ∠ebd. c) c…
**Example 3** a) ∠FBC b) Rays $\overrightarrow{EB}$ and $\overrightarrow{BD}$ c) Acute angle (assuming the measure of ∠ABC is less than 90° from the diagram) d) ∠ABF (assuming its…
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1) point b lies on ac ab + bc = ac 2) ac = 24 3) bc = 6 4) ab + 6 = 24 …
Subtraction Property of Equality
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name the angle relationship. answer attempt 2 out of 2 alternate interi…
Corresponding
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graph the compound inequality. 93 < x < 99 plot the endpoints. select a…
Mark open circles at 93 and 99 on the number - line and draw a line segment between them.
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jamal is constructing the bisector of angle abc. he has a list of steps…
Place the compass at vertex $B$ and draw an arc that intersects both $\overrightarrow{BA}$ and $\overrightarrow{BC}$.
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question what is the image of the point (0, 1) after a rotation of 270°…
$(1,0)$
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graph the compound inequality. x ≥ 441 and x < 442 plot the endpoints. …
On the number - line, place a closed circle at $441$, an open circle at $442$, and draw a line segment between them.
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question what is the image of the point (-3,5) after a rotation of 90° …
$(-5,-3)$
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choose the definition of parallel lines. do not intersect and lie in th…
Do not intersect and lie in the same plane.
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graph the compound inequality. x < -75 or x > -74 plot the endpoints. s…
On the number - line, place open circles at -75 and -74. Draw a ray to the left of -75 and a ray to the right of -74.
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what is the image of the point (-6,2) after a rotation of 180° counterc…
$(6,-2)$
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a conditional statement is given. \if the measures of two angles add to…
1. Contra - positive 2. Converse 3. Inverse 4. Biconditional
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what is the image of the point (0,5) after a rotation of 180° countercl…
$(0,-5)$
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graph the compound inequality. x < -3 or x ≥ -1 plot the endpoints. sel…
On the number line, draw an open circle at \(x=-3\) and a ray extending to the left. Draw a closed circle at \(x = - 1\) and a ray extending to the right.
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x = 15 y = 15 x = 50 y = 50 what is the axis of symmetry?
# Explicación: ## Paso 1: Identificar la forma simétrica Observar la gráfica. ## Paso 2: Determinar el eje de simetría La gráfica se ve simétrica en torno a la recta $x = 15$. # R…
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what is the image of the point (2, -5) after a rotation of 90° counterc…
$(5,2)$
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suppose that the function g is defined, for all real numbers, as follow…
To graph: 1. Draw a horizontal line \(y = 1\) starting from \(x=-\infty\) and ending at \(x=-2\) with a closed - circle at \(x=-2\). 2. Draw the line \(y = x\) from the open - cir…
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graph the compound inequality. x > 5 and x ≤ 9 plot the endpoints. sele…
On the given number line, place an open circle at 5 and a closed circle at 9, then shade the region between them.
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question what is the image of the point (0, - 1) after a rotation of 18…
$(0,1)$
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2.5.7 check your understanding a true conditional statement is given. i…
An angle measure is greater than 90° if and only if the angle is obtuse.
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what is the image of the point (5, -6) after a rotation of 90° counterc…
$(6,5)$
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(3) multiple choice question. please circle the correct answer. spanish…
D. debt peonage
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which is the equation of the line perpendicular to x=-15 that passes th…
$y = - 4$
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the radius of a ball is 3 cm. what is the volume of the ball? hint: use…
B. $36\pi$ $cm^{3}$
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graph the compound inequality. -4 ≤ x < 1 plot the endpoints. select an…
On the number line, place a closed circle at $x=-4$, an open circle at $x = 1$, and draw a line segment between them.
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do now #3: match the sum of interior angles with the correct number of …
1. C. 15 - gon 2. B. Quadrilateral 3. E. 11 - gon 4. D. Septagon 5. A. Octagon For question 6, from left - to - right, top - to - bottom: Octagon, Hexagon, Non - agon (9 - sided p…
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what is the value of the missing angle? 49 59 39 29
49
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which angles are adjacent to ∠fgb? select all that apply.
$\angle DGF$, $\angle BGD$, $\angle BGC$, $\angle EGF$
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graph the compound inequality. -1 < x < 4 plot the endpoints. select an…
On the number - line, place open circles at $x=-1$ and $x = 4$, and shade the region between these two points.
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21. communicate and justify a downhill skier is fastest when her skis a…
The skier should lean forward and keep her body streamlined. The principle of least resistance justifies this as it helps in reducing air - resistance and surface - friction, thus…
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all vertical lines are neither parallel perpendicular
parallel
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find the value of x that makes lines u and v parallel.
\(x = 8\)
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find the value of x that makes lines u and v parallel.
\(-7\)
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graph the compound inequality. -4 ≤ x < -3 plot the endpoints. select a…
On the given number line, place a filled - in circle at $-4$ and an open circle at $-3$, and draw a line segment connecting them.
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18 multiple choice 1 point this is the first step in which construction…
B. Inscribed Square
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find the value of x that makes lines u and v parallel. 16x - 6
$x = 6$
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17 multiple choice 1 point this shows the first step of which construct…
Perpendicular Bisector
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16 multiple choice 1 point which of the following constructions must yo…
angle bisector
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use a two - dimensional model and the dimensions provided to calculate …
Area: 92.5 $ft^{2}$, Perimeter: 42.1 ft
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15 multiple choice 1 point find the perimeter of a triangle with vertic…
C. 14.15 units
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angle addition postulate 1. if m∠rus = 32° and m∠sut = 31°, what is the…
1. **Para el primer problema**: - Dado que \(m\angle RUS = 32^{\circ}\) y \(m\angle SUT=31^{\circ}\), por el postulado de adición de ángulos (\(m\angle TUR=m\angle RUS + m\angle S…
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a rhombus has a side length of $sqrt{14}$. what is the perimeter of the…
C. \(4\sqrt{14}\) units
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13 multiple choice 1 point given rectangle abcd with vertices a(1, 4), …
12 square units
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which angles are supplementary to ∠afb? select all that apply. ∠bfc ∠af…
\(\angle BFC,\angle AFC,\angle BFD,\angle CFD\)
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12 multiple choice 1 point is the polygon concave or convex?
B. Convex
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use a two - dimensional model and the dimensions provided to calculate …
Circumference: 15.7 in, Area: 19.6 in²
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11 multiple choice 1 point a triangle whose sides are all different len…
B. scalene
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10 multiple choice 1 point in order to prove that a quadrilateral is a …
D. rectangle; rhombus
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line ab is parallel to line cd. what is the measure of ∠4? 100° 180° 12…
$100^{\circ}$
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line ab is parallel to line cd. what is the measure of ∠3? 160° 180° 80…
C. $80^{\circ}$
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identify the relationship between the pair of angles. alternate interio…
A. Alternate Interior Angles