Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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substitute the given values into the given formula and solve for the un…
$12.5$
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substitute the given values into the given formula and solve for the un…
$16.0$
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a telecommunication mast and a pillar stand on the same horizontal leve…
The height of the mast is approximately \(155\) m. ### (b)(ii) 1. First, find the angles in \(\triangle SOH\) and \(\triangle TOG\): - In \(\triangle SOH\), \(\angle SOH = 28^{\ci…
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david owns a cd player that holds 5 cds. david is currently listening t…
The rotation to CD 1 counter - clockwise from CD 3 is 72 degrees and the rotation to CD 4 counter - clockwise from CD 3 is 72 degrees.
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assignment: page 152 solve for x. show all your work. 15 numeric 1 poin…
for Question 15: 30
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for exercises 1 and 2, graph the data. then find the slope. explain wha…
For problem 1: Slope is 6, representing 6 envelopes stuffed per minute. For problem 2: Slope is 3, representing 3 feet per yard. For problem 3: Slope is 0.5, representing 0.5 laps…
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9. a telecommunication mast and a pillar stand on the same horizontal l…
(i) $52$ m (ii) $56$ m
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solve the compound inequality. -13≤2x - 3<9 graph the solution on the n…
The solution is $-5\leq x<6$. On the number - line, there is a closed circle at - 5 and an open circle at 6, with a line segment connecting them.
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find the length x to the nearest whole number.
318
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assignment: page 152 solve for x. show all your work. 15 numeric 1 poin…
for 15: 34
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solve for x. show all your work. (a) (b)
a. \(x = 119^{\circ}\) b. \(x = 88^{\circ}\)
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find the length x to the nearest whole number. 250 64° 39° x
310
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1. whether the triangles are similar. if similar, state how (aa-, sss-,…
3. Similar by AA; $\triangle ABE\sim\triangle DBC$ 5. Similar by AA; $\triangle LKM\sim\triangle LJN$ 6. Not similar 7. Not similar 8. Not similar
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directions: determine whether the triangles or sas -), and write a simi…
The triangles are similar by AA similarity.
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a triangle has an angle that measures 50°. the other two angles are in …
50, 80
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solve for x. show all your work. ① 117° 56° ② 34° 126°
a. $x = 61^{\circ}$ b. $x = 92^{\circ}$
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find the value of x for which r || s. then find m∠1 and m∠2. m∠1 = 81 -…
$x = 31$, $m\angle1=30$, $m\angle2 = 30$
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find the value of x for which r || s. then find m∠1 and m∠2. m∠1 = 81 -…
\(x = 11\)
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solve the compound inequality. 2x - 6 < -4 or 4x + 4 ≥ 28 graph the sol…
The solution of the compound inequality is $x < 1$ or $x\geq6$. On the number - line, there is an open circle at 1 with shading to the left and a closed circle at 6 with shading t…
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similar? 1/2/3/4/8 es are similar. if similar, state how (aa-, sss- t a…
The triangles are not similar.
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one angle of a triangle measures 130°. the other two angles are in a ra…
20, 30
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solve the compound inequality. 4x + 1 < 1 or 4x + 1 > 21 graph the solu…
The solution is $x < 0$ or $x>5$. On the number - line, an open circle is drawn at $x = 0$ and the line is shaded to the left of 0, and an open circle is drawn at $x = 5$ and the …
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one angle of a triangle measures 75°. the other two angles are in a rat…
50, 55
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one angle of a triangle measures 115°. the other two angles are in a ra…
20, 45
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the vertex of a parabola that opens downward is at (0, 4). the vertex o…
The points of intersection are of equal distance from the y - axis.
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a plot of land is in the shape of a triangle. if one side is x meters, …
$8x - 8$
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one angle of a triangle measures 60°. the other two angles are in a rat…
50, 70
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9. what is the slope of triangle xyz? what is the slope of vwx? what ca…
The slope of VW is $-\frac{3}{5}$, the slope of XZ (assuming we consider side XZ for 'triangle XYZ') is $-\frac{3}{4}$, and from the slopes we can determine that the lines VW and …
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find the value of x for which m || n. the value of x for which m || n is
\(x = 52\)
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graph the compound inequality on the number line. x≤2 or x>4
On the number line, there is a closed - circle at 2 with shading to the left of 2 and an open - circle at 4 with shading to the right of 4.
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find the value of x for which d||m. x = (simplify your answer. type an …
59
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two workers paint lines for angled parking spaces. one worker paints a …
Yes; $\angle2$ and $\angle3$ are alternate exterior angles, and if alternate exterior angles are congruent, then the lines g and h are parallel.
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graph the compound inequality on the number line. x≤4 or x>8
On the number line, there is a closed - circle at 4 with shading to the left, and an open - circle at 8 with shading to the right.
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geometric proof definition
A geometric proof is a logical argument in geometry to establish the truth of a statement using geometric principles.
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which lines are parallel? justify your answer. mn and bg are parallel b…
converse corresponding angles postulate
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which lines are parallel? justify your answer. mb and ng are parallel b…
MN and BG
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they all want to play hamlet 1 they all want to play hamlet. 2 they hav…
1. Actors haven't experienced real - life traumas of Hamlet characters. 2. It suggests suffocating circumstances and despair. 3. Actors don't understand previous vivid imagery. 4.…
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congruent definition geometric proof definition
Congruent: Figures with same shape and size. Geometric Proof: Logical argument for geometric statements.
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find the value of x. then find the measure of each labeled angle. point…
$x = 5.875$, $8x=47$
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1. an inter - city shuttle travels between two cities, amanfro and koto…
$72$ km/h ### 1. (b)
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find the value of x. then find the measure of each labeled angle.
\(x = 15\)
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what information is not included in the invitation? a. when to go to sa…
a. what to wear for the birthday party
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a triangle has an angle that measures 20°. the other two angles are in …
50, 110
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directions: determine whether the conclusion follows from the given sta…
8. Law of Syllogism 9. invalid 10. Law of Detachment 11. invalid 12. Law of Detachment 13. Law of Syllogism
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delta math 5.4 due: september 30 at 8:30 am grade: 11% rectangle/parall…
length of $\overline{OP}=2\sqrt{10}$
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section a 40 marks answer all the questions in this section. all questi…
72 km/h ### 1. (b)
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circle the letter of the correct answer. 1. 8 + 8 a. 16 b. 8 c. 15 d. n…
1. a. 16 2. b. 9 3. c. 7 4. a. 11 5. (no correct option as sum is 15) 6. b. 12 7. c. 12 8. b. 16 9. (no correct option as result is 4) 10. c. 8 11. a. 8 12. a. 0 13. c. 5 14. a. 6
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a triangle has an angle that measures 50°. the other two angles are in …
30, 100
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find m∠1 and m∠2 given that lines n and m are parallel. justify your an…
$m\angle1 = 80^{\circ}$ by the Corresponding angles postulate; $m\angle2 = 80^{\circ}$ by the Alternate interior angles theorem
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fill in the blank 1 point a transversal is a line that intersects two o…
1. opposite sides 2. between 3. opposite sides 4. outside
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9. a telecommunication mast and a pillar stand on the same horizontal l…
(i) 52 m (ii) 56 m ### 10. ## (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. 4. \(\angle PQR\) is an obtuse angle. 5. If Nicole is tardy to class again, he…
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1 fill in the blank 1 point a transversal is a line that intersects two…
The first blank (for alternate - interior angles): between The second blank (for alternate - exterior angles): opposite sides; outside
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one angle of a triangle measures 70°. the other two angles are in a rat…
40, 70
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find m∠1 and m∠2 given that lines n and m are parallel. justify your an…
$m\angle1 = 58^{\circ}$ by the corresponding - angles postulate. $m\angle2 = 58^{\circ}$ by the alternate - interior angles theorem.
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1 fill in the blank 1 point a transversal is a line that intersects two…
1. opposite sides 2. inside
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which angles are supplementary angles? ∠opm and ∠nmp ∠opm and ∠opr ∠opm…
∠OPM and ∠OPR
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which angles are alternate interior angles? ∠vwt and ∠stw ∠vwt and ∠str…
\(\angle VWT\) and \(\angle STW\)
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which angles are vertical angles? ∠opn and ∠tsu ∠rsp and ∠tsu ∠tsu and …
$\angle{RSP}$ and $\angle{TSU}$
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determine whether the statement is always, sometimes, or never true. sa…
A. The statement is sometimes true.
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determine whether the statement is always, sometimes, or never true. pa…
B. The statement is never true.
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which angles are consecutive interior angles? ∠dcf and ∠gfc ∠bca and ∠e…
\(\angle DCF\) and \(\angle GFC\)
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determine whether the statement is always, sometimes, or never true. al…
A. The statement is always true.
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one angle of a triangle measures 50°. the other two angles are in a rat…
60, 70
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solve the inequality and graph the solution on the line provided. -17 +…
$x>4$ On the number - line, you would draw an open circle at 4 (because 4 is not included in the solution set, due to the '>' sign) and draw an arrow to the right to represent all…
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which angles are supplementary angles? ∠jkm and ∠lkm ∠lkm and ∠jkh ∠jkh…
∠JKM and ∠LKM
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a. determine the perimeter of figure abcdefg. round to the nearest hund…
(No se pueden calcular exactamente los valores sin las coordenadas de los puntos, pero el proceso es el mostrado arriba)
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congruent definition geometric proof definition
Congruent: Figures or objects with same shape and size. Geometric Proof: Logical argument for geometric statements.
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one angle of a triangle measures 95°. the other two angles are in a rat…
10 and 75
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b. calculate the perimeter and area of the rectangle. round to the near…
No se puede determinar sin valores de longitud y ancho para el perímetro y el área.
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proof: complete the proof. given: b is the mid - point of \\(\\overline…
1. Given 2. If a point is the mid - point of a line segment, it divides the line segment into two congruent segments. So, $\overline{AB}\cong\overline{BE}$ and $\overline{DB}\cong…
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10. directions: describe each venn - diagram using a conditional or com…
If a shape is a square, then it is a rectangle.
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decide whether each of the pairs of angles given below and illustrated …
B. ∠1 and ∠3 are corresponding angles.
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decide whether pairs of angles. pairs of angles: - (angle1) and (angle2…
For angles 1 and 2: C. Angles 1 and 2 are alternate interior angles. For angles 6 and 1: B. Angles 6 and 1 are corresponding angles.
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proof complete the proof. given: b is the mid - point of $overline{ae}$…
1. Statements: $AB = EB$ - Reasons: Definition of mid - point 2. Statements: $DB=CB$ - Reasons: Definition of mid - point 3. Statements: $\angle ABD\cong\angle EBC$ - Reasons: Ver…
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if 3 extra - large toy tennis balls are packaged and sold in a cylindri…
$993\ cm^{3}$
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14) sas a) ∠q≅∠b b) rs≅rd or sq≅db c) ∠qrs≅∠brd d) rs≅rd
C. $\angle QRS\cong\angle BRD$
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12) sss a) ∠ljk≅∠jlc b) (overline{kl}congoverline{cj}) c) ∠ljk≅∠jlc or …
D. \(\angle KLJ\cong\angle CJL\)
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13) sas a) $overline{mn}congoverline{fe}$ b) $angle lcongangle g$ or $a…
C. \(\angle L\cong\angle G\)
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state what additional information is required in order to for the reaso…
A. \(\angle Q\cong\angle G\)
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name the marked angle in 2 different ways. answer attempt 1 out of 2
$\angle K$, $\angle IKJ$
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find the measure of the missing angle. 63° a answer attempt 1 out of 2 …
\(117^{\circ}\)
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identify a pair of alternate interior angles in the diagram. name the t…
C. ∠5 and ∠7
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solve for m∠bcd if m∠bce = 30° and m∠ecd = 93°. answer attempt 1 out of…
$123$
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in $\triangle stu$, $mangle s=(5x + 4)^{circ}$, $mangle t=(4x - 18)^{ci…
\(17\)
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identify a pair of corresponding angles in the diagram. name the two li…
First part: B. ∠3 and ∠7 Second part: A. lines b and e with transversal c
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if line l is parallel to line m, find the values of x and y. x = y =
$x = 13$ $y = 14$
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in $delta vwx$, $mangle v=(x + 8)^{circ}$, $mangle w=(5x + 9)^{circ}$, …
\(61^{\circ}\)
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in $\triangle opq$, $mangle o=(8x + 13)^{circ}$, $mangle p=(4x - 12)^{c…
13
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identify a pair of corresponding angles in the diagram. name the two li…
B. ∠3 and ∠7
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8 a = ____ , b = ____
\(a\approx6.31\), \(b\approx4.79\)
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use the diagram on the right to name two lines that are parallel to pla…
A. $\overleftrightarrow{BG}$ and $\overleftrightarrow{CL}$
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3 x = ____, y = ____
$x\approx33.4$, $y\approx10.6$
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a side of the triangle below has been extended to form an exterior angl…
$x = 44$
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for the pair of similar triangles 2 x = ____, y = ____
$x = 4.2$, $y = 2.2$
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question a side of the triangle below has been extended to form an exte…
\(24^{\circ}\)
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part b complete the equation to find the length of a side of a square t…
$\sqrt{64}=8$
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find the value of x. in the next question you will be asked to take a p…
$x = \frac{127}{7}$
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part a complete the equation to find the length of a side of a square t…
$\sqrt{49}=7$
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lesson 3.2 exit ticket (calculator not allowed) using the diagram below…
$66^{\circ}$