Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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3) line n intersects lines p, q, r and s, forming the indicated angles.…
Lines \(p\) and \(r\) are parallel.
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2) which statement proves line c is parallel to line d? a) < 1 ≅ < 3 b)…
D. $\angle4\cong\angle16$
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4. what is the sum of f° + g°?
\(180^{\circ}\)
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use the model to find 128 ÷ 8. first, find the missing side lengths.
The side - length of the orange rectangle is \(10\), the side - length of the pink rectangle is \(6\), and \(128\div8 = 16\).
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find the distance between point ( p ) and line ( ell ). line ( ell ) co…
A. 3 units
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use identities to find the indicated value for each angle measure. find…
B. $-\frac{161}{289}$
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solve the inequality and graph the solutions. \\( \\frac { z } { 9 } \\…
\(z\geq36\) (the fourth option where there is a closed - circle at \(36\) and an arrow to the right)
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for the following right triangle, find the side length x.
\(41\)
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for the following right triangle, find the side length x.
\(25\)
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find the ratio of squares to triangles in the diagram below. unsimplifi…
\(3:9\)
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give one pair of vertical angles and one pair of supplementary angles s…
(a) Vertical angles: \(\angle2\) and \(\angle4\) (b) Supplementary angles: \(\angle1\) and \(\angle2\) (Note: There are other valid pairs for both vertical and supplementary angle…
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give one pair of supplementary angles and one pair of vertical angles s…
(a) Supplementary angles: \(\angle1\) and \(\angle2\) (b) Vertical angles: \(\angle1\) and \(\angle4\)
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question 3 congruent by sss congruent by sas congruent by saa congruent…
Congruent by SSS
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question given \\( \\tan a = \\frac { 4 } { 5 } \\) and that angle \\( …
\(\frac{5\sqrt{41}}{41}\)
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question 3 △abc is congruent to: not enough information to say they are…
Congruent by SSS
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complete this sentence by selecting always, sometimes, or never. if the…
A. always
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problem 5: lesson 41) complete this sentence with the best of the choic…
C. altitude
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work with a partner. what portion of the rectangle is red? the portion …
\(\frac{5}{9}\)
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question 3 congruent by sss congruent by sas congruent by saa congruent…
\(\triangle ABC\cong\triangle AKC\) by SSS.
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problem 3: (first taught in lesson 18) complete this sentence with the …
Vertical angles
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work with a partner. what portion of the rectangle is red? the portion …
\(\frac{2}{3}\)
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problem 23 clear exit given: ( mangle5 = mangle6 ) prove: ( ec>ae ) 1. …
1. \(m\angle5 = m\angle6\) 2. An exterior angle of a triangle is greater than any non - adjacent interior angle 3. \(m\angle6>m\angle C\) 4. In a triangle, the side opposite the l…
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1. the length of a soccer field is 31 m shorter than two times its widt…
a) Let \( w\) (width), \( l = 2w-31\) (length). Diagram: rectangle with one side labeled \( w\) and adjacent side labeled \( 2w - 31\). b) \( 6w-62\) c) \( 2w^{2}-31w\) d) \( 12w …
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15. mr. coley has 2200 yards of fencing to enclose a rectangular area f…
The value of \(W\) for which the area is largest is \(550\) yards. The maximum area is \(302500\) square yards.
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10. ashley jogged 3.4 miles east, then 5.7 miles south. how far is ashl…
Ashley is approximately \(6.64\) miles from her starting point.
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a rectangular prism has dimensions of 2 cm by 2 cm by 5 cm. what is its…
48 square centimeters
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if ∠abc and ∠def are complementary, and m∠abc is equal to 20°, then wha…
\(70\)
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if ∠tuv and ∠pqr are vertical angles. and m∠tuv is equal to 112°, then …
\(112\)
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enter the correct answer. if ( mangle abc = 140^{circ} ) and ( mangle d…
\(104\)
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enter the correct answer. if ( mangle acb = 180^circ ), and ( mangle ac…
\(125\)
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what is the measure of this angle? m∠ab
\(m\angle ABC = 60^{\circ}\)
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7. 8. applications! draw a picture, then solve for the missing side. ro…
For problem 7: \(x\approx11.5\). For problem 8: \(x\approx14.3\).
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given: ab = cb prove: ad ≠ de (using the indirect method). 1. click her…
By the indirect method (proof by contradiction), since assuming \(AD = DE\) leads to a contradiction with the given \(AB = CB\) and triangle properties, we conclude \(AD eq DE\).
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what is the measure of this angle? m∠ab
\(70^{\circ}\)
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if ab = 30 and bc = 35, find ac ac = ?
\(65\)
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when two sides of a triangle are unequal, the angle opposite the longer…
True
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if ab = 15 and bc = 33, find ac a b c 15 33 ac = ?
\(48\)
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problem 1: (first taught in lesson 49) if two sides of a triangle are u…
True
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find the midpoint, m, of (overline{jk}) m = (square)
\(5\)
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find the midpoint m of \\overline{cd}. c m d -47 85 m =
\(19\)
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find the length of $overline{cd}$. $cd = square$
\(18\)
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what is the correct notation for this figure?
\(\overrightarrow{XY}\) (the third option in the given choices)
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5. $a^{2}+b^{2}=c^{2}$ $12^{2}+x^{2}=$ 6. $x = 15$
\(x = 15\)
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6. $a^{2}+b^{2}=c^{2}$ $x^{2}+6^{2}=15^{2}$ $x^{2}+36=225$ $36-36$ $189$
\(x = 3\sqrt{21}\approx13.75\)
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use the graph and the translation $(x,y)\\to(x + 5,y + 3)$. enter the i…
\(A'(-4,4)\) \(B'(4,4)\) \(C'(-1,2)\)
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find the distance between point p and line l. line l contains points (-…
D. 6 units
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the complete transformation from triangle abc to triangle abc can be de…
\(\langle-6,-1 angle\)
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a right triangle has one angle that measures 55°. what is the measure o…
\(35\)
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what is the new y - coordinate when the following point is rotated 180°…
\(-10\)
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what is the new x - coordinate when the following point is rotated 180°…
\(2\)
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what is the new x - coordinate when the following point is rotated 90° …
\(-8\)
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what is the new y - coordinate when the following point is rotated 270°…
\(9\)
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what is the new y - coordinate when the following point is rotated 360°…
\(8\)
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if a regular polygon has 23 sides what is the smallest angle of rotatio…
\(15.7\)
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if a regular polygon has 15 sides what is the smallest angle of rotatio…
\(24.0\)
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how many lines of symmetry in this figure? if there are an infinite num…
1
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given a(9,-2), b(6,3), and c(-2,-6), what are the coordinates of the ve…
\(A'(-2,9)\) \(B'(3,6)\) \(C'(-6,-2)\)
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which types of symmetry are present in this figure? heptagon mark all t…
Rotational
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given a(9,-2), b(6,3), and c(-2,-6), what are the coordinates of the ve…
\(A'(-2,9)\) \(B'(3,6)\) \(C'(-6,-2)\)
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find the distance between point ( p ) and line ( ell ). line ( ell ) co…
A. 3 units
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triangles abc and def are similar. find the length of segment bc
\(7\)
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triangles abc and def are similar. find the exact length of segment df.
\(\frac{14}{3}\)
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05 fill in the blank text 0 / 1 the vertices of triangle abc are a(-3,4…
\((-2,-9)\)
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quadrilateral krwb is shown on the coordinate grid. apply the sequence …
\((6,3)\)
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6 sarah draws figure efgh in the coordinate plane. she rotates figure e…
The coordinates of the vertices are \(P'''(-4,-1)\), \(Q'''(-3,-3)\), \(R'''(-2,0)\)
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5 △def≅△lmn. which sequence of transformations can be performed on △def…
A. Reflect \(\triangle DEF\) across the \(y -\)axis. Then translate the image 6 units up.
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find the distance between point p and line (ell). line (ell) contains p…
A. \(\sqrt{74}\) or about \(8.60\) units
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triangles nwg and nwg are shown on the coordinate grid where nwg is a t…
\((x,y)\to(-x,-y)\)
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a 25 - foot ladder is leaning against the side of a house so that the b…
No, because the ladder will only reach 20 feet high.
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(pythagorean theorem mc) the shortest side of a right triangle measures…
12
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determine which set of side measurements could be used to form a right …
\(\sqrt{2},3,\sqrt{11}\)
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(pythagorean theorem lc) can a triangle be formed with side lengths 13,…
No, because \(5 + 7<13\)
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a rectangular pool is 6 meters wide and 14 meters long. if you swim dia…
15.2 meters
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determine which set of side measurements could be used to form a triang…
13, 19, 7
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geometry cp quiz 4.1 form b name block 1. ∠r = ————— ∠q = ————— 2. ∠a =…
1. \(\angle R = 74^{\circ}\), \(\angle Q = 32^{\circ}\) 2. \(\angle A = 84^{\circ}\), \(AB = 15\) in 3. \(\angle L = 60^{\circ}\) 4. \(x = 31\) (assuming equilateral) 5. \(x = 7\)…
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question given circle f with chords \\( \\overline { g h }, \\overline …
\(\angle GHI\)
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given circle i with chords \\( \\overline { j h } \\), \\( \\overline {…
\(\angle MJH\)
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which explanation of how to use basic shapes is most correct if someone…
Start with a square and semi - circle for the silo and a triangle for the barn’s roof.
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find the distance between point p and line (ell). line (ell) contains p…
A. \(\sqrt{74}\) or about \(8.60\) units
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given circle ( i ) with chords ( overline{jh},overline{jl},overline{kh}…
\(\angle NJL\)
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kuta software - infinite geometry angles in a triangle find the measure…
1. \(58^{\circ}\) 2. \(50^{\circ}\) 3. \(30^{\circ}\) 4. \(45^{\circ}\) 5. \(145^{\circ}\) 6. \(65^{\circ}\) 7. \(50^{\circ}\) 8. \(85^{\circ}\)
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given circle ( p ) with radii ( overline{pr}, overline{pq} ), and ( ove…
\(\angle PQS\)
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given circle n with radii (overline{np}), (overline{no}), and (overline…
$\angle NOQ$
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the figure below shows a circle with center v, diameter \\( \\overline{…
\(\angle VXC\) and \(\angle VAR\)
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the figure below shows a circle with center s, diameter \\( \\overline{…
\(\angle SMW\)
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the figure below shows a circle with center x, diameter (overline{lg}),…
\(\angle T\) and \(\angle E\)
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the figure below shows a circle with center x, diameter \\( \\overline{…
\(\angle T\) and \(\angle E\)
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the figure below shows a circle with center j, diameter (overline{fa}),…
\(\angle JVT\) and \(\angle JAT\)
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the figure below shows a circle with center p and diameter overline{jc}…
\(\angle JBC\) and \(\angle JVC\)
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practice: dimensional analysis show all work as you complete each probl…
\(345600\) seconds
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write the algebraic description that maps cdefg onto cdefg.
\((x,y)\to(x + 4,y - 2)\)
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the figure below shows a circle with center a, diameter (overline{ip}),…
\(\angle ASL\), \(\angle APL\), \(\angle AIC\)
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15. $\triangle jklcong\triangle mnp$. $mangle l=x^{2}+10$ and $mangle p…
\(19\)
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read the excerpt from part 3 of \an occurrence at owl creek bridge.\ hi…
Farquhar's escape is a fantasy or a dream.
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multiple - choice questions 31. in the diagram above, four straight lin…
\(D.60^{\circ}\)
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part d write and solve an equation for each of the following. 14. \\( \…
\(x = 30\) and \(AB = 50\)
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the distance between two of the points shown is approximately 3.6 units…
A. \(A\) and \(B\)
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liam keeps his pet lizard in a tank shaped like a right rectangular pri…
D. \(5.4\) feet
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triangle abc is similar to triangle xyz, where a, b, and c correspond t…
D. 18
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fg is shown in the coordinate plane. what is the length of fg? if neces…
\(5.0\)