Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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hijk is definitely a parallelogram. a. true b. false
A. True
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7 fill in the blank 8 points determine if figure a is congruent to figu…
congruent
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determine if figure abcdef is congruent to ghijkl. abcdef is choose you…
not congruent
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26. given ∠aeb = ∠dec prove ∠aec = ∠deb
\(\angle AEC=\angle DEB\) is proved as shown above.
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(a) write the following biconditional statement as a conditional statem…
(a) Conditional statement: If a toy block is a triangle, then the toy block is blue. Converse: If a toy block is blue, then the toy block is a triangle. (b) Without the table, una…
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question 10 of 10 given parallelogram abcd, ac = 28, and ae = 3x - 7, f…
A. 7
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question 9 of 10 given parallelogram efgh and ∠e = 45°, what is the mea…
C. $135^{\circ}$
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given parallelogram wxyz, what is the measure of ∠z? a. 55° b. 90° c. 2…
D. \(35^{\circ}\)
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which set of angle measures could be in the same triangle? 90°, 45°, 30…
$90^{\circ},50^{\circ},40^{\circ}$
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26. given - ∠5≅∠6 prove - ∠4≅∠7 statements reason 1. ∠5≅∠6 1. given 2. …
2. $\angle4\cong\angle5$, $\angle6\cong\angle7$; Reason: Vertical angles are congruent.
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consider this conditional statement. if a figure is a hexagon, then the…
(a) If a figure is not a six - sided polygon, then a figure is not a hexagon. (b) N/A (c) If a figure is not a hexagon, then the figure is not a six - sided polygon.
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problem 6a which could be the measure of this angle? 180° 30° 120° 90°
120°
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△abc is the image of △abc after a dilation by a scale factor of 5/2, wi…
Plot \(A'(-10,5)\), \(B'(7.5,5)\) and \(C'(7.5,-10)\) and label them to form \(\triangle A'B'C'\) on the graphing tool.
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given parallelogram wxyz, what is the measure of ∠z? a. 55° b. 90° c. 2…
D. $35^{\circ}$
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18. proof complete the two - column proof. then write a flowchart proof…
1. Given 3. Definition of complementary angles 4. Complements of the same angle are congruent
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question 7 of 10 given parallelogram s a l e, solve for x. e 3 l 3x + 4…
C. 5
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11. (6y + 8)° (6x - 26)° 4x (7y - 12)° 12. 2(5x - 5)° (5y + 5)° 20y° (3…
13. \(x = 7\) 14. A. \(\angle VZT\cong\angle XZY\), C. \(\angle VZX\cong\angle TZY\) 15. The friend is correct because vertical angles are congruent. 16. \(y=\frac{11}{7}\), \(x =…
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6 jan circled the problems that she cannot solve in her head by making …
The circled problems 8 - 2 and 9 - 4 are simple single - digit subtraction problems that can be solved directly without the need to break numbers to make a ten.
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7 fill in the blank 8 points determine if figure a is congruent to figu…
not congruent
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question 5 of 10 given ☐nelr, solve for x. n (7x + 33)° e (11x + 21)° r…
A. 7
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what is the area of rectangle cdef? area = square units
18
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7 fill in the blank 8 points determine if figure a is congruent to figu…
Yes, figure A is congruent to figure C (assuming figure B is the circle labeled C in the image as there is no figure B labeled otherwise).
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problem 5 describe a sequence of transformations to show that polygon a…
First, translate polygon ABCD 4 units to the right, then 3 units down, and then reflect it over the x - axis.
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1. suppose that the parking zone is 10 yards wide. determine the dimens…
Length = 10 yards, Width = 10 yards, Area = 100 square yards ## Question 2 ### Step1: Identify given values The parking - zone is 17 yards wide. Let the width of the lot be $w_{lo…
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problem 4b point b has coordinates (-3, 2). what are the coordinates of…
(1, 2)
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in the figure below, points d, b, e, f, and g lie in plane x. points a …
(a) $\overleftrightarrow{EF}$ (any line formed by points $B,E,F,G$ will work) (b) $\overleftrightarrow{AB}$ (c) $DEF$ (d) $E$
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problem 4a point a has coordinates (-1,-1). what are the coordinates of…
$(-1,-4)$
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problem 3b these two triangles are scaled copies of each other. on the …
12
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solve. 3 make a ten to subtract. fill in the missing numbers to show 12…
3. First box: 2; Second box: 2 4. 12−2 = 10; 16−6 = 10; 13−3 = 10; 15−5 = 10 5. First box above arrow from 15 to 10: 5; Second box above arrow from 10 to 6: 4; Answer: 6 6. The ci…
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problem 3a these two triangles are scaled copies of each other. what is…
$2.5$
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3. rotate triangle abc by 45 degrees counterclockwise about point d, av…
The new triangle $A'B'C'$ is the result of rotating triangle $ABC$ 45 degrees counter - clockwise about point D.
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in the diagram below, $overline{dg}perpoverline{df}$. use the diagram f…
1. Sides of $\angle4$ are $\overrightarrow{DC}$ and $\overrightarrow{DG}$. 2. Vertex of $\angle2$ is $D$. 3. Another name for $\angle3$ is $\angle GDE$. 4. $\angle5$ is an acute a…
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directions: use the law of detachment to give a valid conclusion. if no…
1. Logan can have a bowl of ice - cream. 2. \(5x + 13y\) cannot be factored. 3. No valid conclusion using Law of Detachment. 4. \(\angle PQR\) is an obtuse angle. 5. If Nicole is …
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eddie was helping explain the concept of parallel and perpendicular lin…
Close. A line perpendicular to a line with a positive slope will have a negative slope, however the slope will be the negative reciprocal. In other words, a line perpendicular to …
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question 4 eddie wanted to clarify his understanding of the differences…
C. Parallel lines have the same slope; however, the slopes of perpendicular lines are negative reciprocals of each other.
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6. given: pq = pr prove: q is the mid - point of rh statements reasons …
First proof: | Statements | Reasons | |--|--| | 1. $PQ = PR$ | 1. Given | | 2. $PR=PQ + QR$ | 2. Segment Addition Postulate | | 3. $PQ=PQ + QR$ | 3. Substitution Property of Equal…
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essay 14 points explain why or why not figure abcd is congruent to figu…
Without specific calculations of side - lengths and angle - measures from the grid, we can't definitively say. But if all corresponding side - lengths are equal and all correspond…
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problem 1 is figure b a scaled copy of figure a? use the sketch tool if…
No
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in exercises 1 - 4, identify the pair(s) of congruent angles in the fig…
Exercise 1: $\angle MSN\cong\angle QSR$ Exercise 2: $\angle FGH\cong\angle JKM$ Exercise 3: $\angle GMH\cong\angle JML$, $\angle GML\cong\angle JMH$ Exercise 4: $\angle ABC\cong\a…
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question 10 of 10 what is the sum of the measures of the interior angle…
A. $1800^{\circ}$
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many crystals and biological structures are constructed in the shapes o…
The value of $F + V - E$ is 2 for all the five regular polyhedra as shown by the calculations above, confirming Euler's formula.
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question 9 of 10 a pentagon can be divided into how many triangles by d…
B. 3
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question 8 of 10 what is the sum of the measures of the interior angles…
F. $1080^{\circ}$
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what is the sum of the measures of the interior angles of a regular pol…
B. 180°
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question 6 of 10 the sum of the measures of the interior angles of a po…
B. \((n - 2)180^{\circ}\)
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turning into triangles 1. construct a segment. label the endpoints a an…
The triangle drawn is an isosceles right - triangle. The properties are: it has a right angle ($\angle ABA' = 90^{\circ}$), two equal sides ($AB = BA'$), and the non - right angle…
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question 5 of 10 to the nearest degree, what is the measure of each ext…
B. 60°
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question 4 of 10 to the nearest degree, what is the measure of each ext…
B. $36^{\circ}$
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** this is a 2 - page document! ** use the segment addition postulate t…
1. \(PQ + QR=PR\) 2. \(QR+RS = QS\) 3. \(RS + ST=RT\) 4. | Statements | Reasons | |--|--| | 1. \(X\) is the mid - point of \(\overline{WY}\) | 1. Given | | 2. \(WX = XY\) | 2. Def…
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each exterior angle of a regular polygon measures 30°. how many sides d…
B. 12
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question 2 of 10 what is the sum of the measures of the exterior angles…
D. \(360^{\circ}\)
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question 1 of 10 the measures of an exterior angle and the adjacent int…
B. False
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25. use inductive reasoning to make a conjecture about the sum of two n…
Reflexive property of congruence for line - segments ### 28.
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select all the sequences of transformations that could return a figure …
Reflect the figure over a line and then reflect back over the same line. Translate the figure 1 unit to the right, then 4 units to the left, and then 3 units to the right. Rotate …
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in △qrs, m∠q = 63°, m∠r = 70°, and m∠s = 47°. which side of △qrs is the…
B. \(\overline{QR}\)
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what else would need to be congruent to show that △efg≅△jkl by sss? giv…
D. $\overline{EF}\cong\overline{JK}$
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13. the radius of a circle with area a can be approximated using the fo…
12
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if △pqr ~ △stu, what is the scale factor of △pqr to △stu? a. $\frac{1}{…
D. 5
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8) find lm find lm (only enter the numerical part of your answer)
8
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1. a. draw parallel lines ab and cd. b. pick any point e. rotate ab 90°…
# Explicación: ## Paso 1: Dibujar líneas paralelas Utilizar una regla y un lápiz para dibujar dos líneas rectas paralelas AB y CD. ## Paso 2: Elegir un punto de rotación Escoger u…
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is △efg ≅ △hjk? if so, name the postulate that applies. given: (overlin…
A. Congruent - SSS
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problem 5 jacy says that figure a can move onto figure b using only ref…
No
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many crystals and biological structures are constructed in the shapes o…
| Polyhedron | Faces (F) | Vertices (V) | Edges (E) | Value of $F + V - E$ | |---|---|---|---|---| | Tetrahedron | 4 | 4 | 6 | 2 | | Hexahedron (cube) | 6 | 8 | 12 | 2 | | Octahed…
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question 21 of 25 which set of three numbers could be the side lengths …
D. 4, 7, 7
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7) find lm first find x then, find $overline{lm}$ $overline{kl}+overlin…
9
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review & refresh in exercises 20 and 21, solve the equation using any m…
$x = 7$ or $x=-7$ ### Exercise 21
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points a, b, and c are collinear. point b is between a and c. find the …
11
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find the value of x. d a c a. 32° b. 58° c. 68° d. 66°
D. $66^{\circ}$
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surface area 7 ft 12 ft 2 ft for the rectangular prism a
244 square feet
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determine which postulate or theorem can be used to prove that △abc≅△dc…
A. SSS
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15. proof use the diagram and the steps below to prove that the distanc…
1. For \(4x^{2}-87 = 109\), \(x = 7\) or \(x=-7\). 2. For \(3x^{2}-2x - 7 = 0\), \(x=\frac{1+\sqrt{22}}{3}\) or \(x=\frac{1-\sqrt{22}}{3}\). 3. The table represents a non - linear…
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a cube is inscribed in a sphere. find the ratio of the volume of the sp…
\(\frac{\sqrt{3}\pi}{2}\)
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9) find su s • 10 • t x - 7 • u 2x - 7 find su (enter only the numerica…
13
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4. use the number line to find the coordinate of the midpoint of $overl…
4. $1.5$ 5. $-3$
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question 18 of 25 classify the triangle shown below. check all that app…
B. Scalene, E. Right
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find the midpoint of points a(8, -10) and b(-2, 0) graphically. plot th…
$(3,-5)$
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14. reasoning in the sign, ∠1 ≅ ∠2 and ∠2 ≅ ∠3. classify the triangle a…
The triangle is an equilateral (and equiangular) triangle because $\angle1\cong\angle2\cong\angle3$ which implies all angles of the triangle are congruent.
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points a, b, and c are collinear. point b is between a and c. find the …
1. (Drawing a line is a visual task and hard to represent in text. But conceptually, draw a straight - line.) 2. (Plot points A, B, and C on the line with B between A and C) 3. $x…
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all edges of a triangular prism measure √23 units. find the surface are…
Volume \(V = \frac{23\sqrt{69}}{4}\), Surface - area \(S=\frac{23\sqrt{3}}{2}+69\)
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12. given $overline{ab}congoverline{fg}$, $overrightarrow{bf}$ bisects …
The proof is completed as above, showing $\overline{BC}\cong\overline{DF}$.
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en el diagrama a continuación, una d ⊥ eb, b d biseca ∠ ebc y m∠d = 27°…
$54^{\circ}$
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△abd≅△fec what is the value of bd? 117 18 10 13.7
18
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textual evidence (and page #) characterization: what does this evidence…
1) Conclusions on the character should be based on analyzing the textual evidence for traits, point of view, and motivations. Summarize whether the character is more self - pityin…
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what is the congruence statement for the given triangles? △adc≅△adb △ad…
$\triangle ADC\cong\triangle ADB$
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problem 3 describe a sequence of transformations that moves the shaded …
Translate the shaded figure 5 units down and 3 units right.
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question determine if the 2 triangles are similar. if so, determine why…
Not Similar
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proving a theorem in exercises 7 - 9, write a two - column proof for th…
The error is using the Reflexive Property instead of the Transitive Property. The correct reasoning is that since $\overline{MN}\cong\overline{LQ}$ and $\overline{LQ}\cong\overlin…
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the triangles are similar. solve for x. answer attempt 1 out of 3 addit…
$x = 37$
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un lado del triángulo de abajo se ha extendido para formar un ángulo ex…
# Explicación: ## Paso 1: Aplicar la propiedad de ángulo exterior El ángulo exterior de un triángulo es igual a la suma de los dos ángulos interiores no adyacentes. Sea el ángulo …
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in exercises 3 - 6, name the property that illustrates. (see example 2.…
3. Transitive property of congruence. 4. Reflexive property of congruence. 5. Symmetric property of congruence. 6. Transitive property of congruence.
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apply 12. the formula (t = \frac{sqrt{h}}{4}) represents the time (t) i…
1. For the falling - rock problem, it takes about 3 seconds for the rock to hit the ground. 2. For the circle problem, the radius of the wrestling - mat circle is about 12 feet.
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complete the sentence. the intersection of a triangle and a regular pen…
two points
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complete the sentence. two lines can intersect in a line segment two po…
one point
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question plot the point (6, -45). click on the graph to plot a point. c…
Locate the point 6 units right on the x - axis and 45 units down on the y - axis on the given graph.
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problem 2 describe a sequence of transformations that moves the shaded …
First, rotate the shaded figure 90 degrees clockwise about a point. Then, translate the rotated figure 4 units to the right and 1 unit down.
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complete the sentence. two lines can intersect in a ray a line a triang…
No correct option among the given ones. But if we consider the closest concept in a non - strict sense, a line segment (as a point can be considered a special line segment of leng…
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2. given ∠1 is a complement of ∠2. ∠2≅∠3 prove ∠1 is a complement of ∠3…
2. Given; 3. Definition of complementary angles; 5. $m\angle1 + m\angle3=90^{\circ}$; 6. Definition of complementary angles
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complete the sentence. a ray can intersect a square in ________. a line…
C. a point
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complete the sentence. two rays can intersect in ____. a line two point…
None of the above options are correct. Two rays can intersect in a point.
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complete the sentence. a square and a regular pentagon can intersect in…
two points