Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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10 multiple choice 1 point the following triangles can be proven congru…
Cannot be proven congruent
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9 multiple choice 1 point the following triangles can be proven congrue…
B. SSS
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classify the four angles of the quadrilateral.
- \(\angle A\): Right - \(\angle B\): Acute - \(\angle C\): Obtuse - \(\angle D\): Right
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classify the four angles of the quadrilateral.
| | Right | Acute | Obtuse | |--|--|--|--| | \(\angle A\) | \( \bigcirc\) | | | | \(\angle B\) | | | \( \bigcirc\) | | \(\angle C\) | | \( \bigcirc\) | | | \(\angle D\) | | | \( \…
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classify the four angles of the quadrilateral.
\(\angle A\): Acute \(\angle B\): Obtuse \(\angle C\): Acute \(\angle D\): Right
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classify the four angles of the quadrilateral. right acute obtuse ∠a ∠b…
| | Right | Acute | Obtuse | |--|--|--|--| | \(\angle A\) | \( \bigcirc\) | | | | \(\angle B\) | | \( \bigcirc\) | | | \(\angle C\) | | | \( \bigcirc\) | | \(\angle D\) | \( \bigc…
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question 12 convert the angle in radians to degrees. \\frac{5\\pi}{4} q…
\(225\)
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6) if the sides of a triangle have the following lengths, find all the …
\(4 < x < 14\)
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consider \\( \\triangle a b c \\) and \\( \\triangle d e f \\) shown be…
\(m\angle C = 86^{\circ}\), \(m\angle F = 104^{\circ}\)
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which rule explains why these triangles are congruent? n m p k sss asa …
AAS
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given a unit circle, what is the value of y at the indicated point? hin…
\(\frac{\sqrt{39}}{8}\)
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which rule explains why these triangles are congruent? aas asa sss sas …
SAS
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which rule explains why these triangles are congruent? aas sas asa sss …
AAS
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which rule explains why these triangles are congruent? sas aas asa sss …
SAS
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which rule explains why these triangles are congruent?
SAS
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which rule explains why these triangles are congruent? sas sss asa aas …
SAS
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recall that the perimeter of a figure such as the one to the right is t…
\(72z + 176\)
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harper walked from the pet store to the train station and then from the…
6
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how far is it from the restaurant to the bicycle shop? submit units hot…
\(\sqrt{(3 + 1)^{2}+(-3 + 1)^{2}}=\sqrt{16+4}=\sqrt{20}\approx4.47\) units. If we consider the problem as a simple count of units (assuming movement along the grid for a non - coo…
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if each grid line stands for 400 meters, how far is it from the science…
\(1200\) meters
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what is the area of the triangle with vertices at the points ( p=(1,2,3…
E. \(\sqrt{5}\)
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what is the angle \\( \\theta \\) between the vectors \\( \\vec{u}=\\le…
E. \(\theta=\frac{2\pi}{3}\)
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suppose \\( \\vec{u} \\) and \\( \\vec{v} \\) are vectors in \\( \\math…
E. \(-16\)
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heres the revenue and expenses for the month. calculate whether mia had…
Mia had a loss of $100$ for the month.
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which angle is coterminal with \\( \frac { 7 pi } { 4 } \\)? \\( \frac …
\(-\frac{9\pi}{4}\)
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question given ( m parallel n ), find the value of ( x ) and ( y ).
\(x = 6\) and \(y = 119\)
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which angle is coterminal with $-\frac{4pi}{3}$? $\frac{8pi}{3}$ $-\fra…
\(\frac{8\pi}{3}\)
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given ( l parallel m parallel n ), find the value of ( x ).
\( x = 26 \)
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which angle is coterminal with 170°? -190° -350° -450°
$-190^{\circ}$
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write the steps there are two water planter globes. globe a has a diame…
It will take Globe B approximately $\frac{64}{3}\approx21.33$ days to drain.
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5. a triangle has one side 21 meters and another 16 meters. describe th…
The length of the third side \(c\) must satisfy \(5\lt c\lt37\) meters.
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let \\( \\theta \\) be the angle in standard position whose terminal si…
\(\sin(\theta)=\frac{\sqrt{5}}{5}\), \(\cos(\theta)=\frac{2\sqrt{5}}{5}\)
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which angle is coterminal with -250°? 370° 110° -490°
\(110^{\circ}\)
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given ( l parallel m parallel n ), find the value of ( x ).
\(x = 11\)
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find the area of this sector if ( r = 4 ) and ( \theta=\frac{pi}{12} ) …
\(\frac{2\pi}{3}\)
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18. solve the equation: 2(9x - 6) = 6(3x - 2) + 2 19. solve the equatio…
20. Equation: \(36000 + 4000x=51000 + 1500x\), \(x = 6\) 21. Equation: \(4(2x + 5)=3(2x + 8)\), \(x = 2\), Perimeter: \(36\) 22. Equation: \(-8x-46=-6x - 8\), Solution: \(x=-19\) …
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question given m || n, find the value of x and y. watch video show exam…
\(x = 15,y = 105\)
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question given ( m parallel n ), find the value of ( x ).
\(x = 11\)
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24 ∠1 = x°, ∠2 = x + 20°, ∠3 = 2x - 10° → find ∠3 angle 3 =
\(75\)
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23 what is the length of segment ik?
\(10\)
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22 which of the following conjectures is illustrated by the diagram? a …
C. A point that lies on a perpendicular bisector of a line segment is equidistant from the line segment's endpoints.
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5 in the diagram from the previous activity, each time you extended a s…
a. \(\angle ICH\) and \(\angle CBG\), \(\angle ACI\) and \(\angle CBF\) b. \(\angle BCA\) and \(\angle CBF\) c. \(\angle JAB\) and \(\angle EBG\) d. \(\angle BAC\) and \(\angle AB…
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21 find the measure of the unknown angle e c t ? 140° 45° d
\(95^{\circ}\)
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state what additional information is required in order to know that the…
11) \( \angle BCD=\angle SCD\) 12) \(DE = LT\) 13) \(GH = XW\) 14) \(SR = RX\) 15) \( \angle TVU=\angle JVU\)
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20 the following side lengths form a triangle. 5, 2, 4 a true b false
A. True
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19 which of the following conjectures is illustrated by the diagram? a …
C. The base angles of an isosceles triangle are congruent.
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4. a triangle has one side 6 yards and another 15 yards. what are the p…
The possible lengths of the third side \(c\) satisfy \(9\lt c\lt21\) (where \(c\) is measured in yards).
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17 which of the following conjectures is illustrated by the diagram? a …
D. The measure of the exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.
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question given ( m | n ), find the value of ( x ). answer attempt 1 out…
\(x = 18\)
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find the measure of \\( \\theta \\), in radians, if \\( r = 7 \\) and t…
\(1.5\) radians
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4. a triangle has one side 6 yards and another 15 yards. what are the p…
The possible lengths of the third side \(c\) satisfy \(9\) yards\(<c<21\) yards.
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find the measure of the unknown angle. 85° 50°?
\(45^{\circ}\)
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find the measure of the unknown angle
\(130^{\circ}\)
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use a calculator to find the length of each side. round to 4 decimal pl…
\(a = 2.0791\), \(b = 9.7812\)
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question given m || n, find the value of x. answer attempt 1 out of 2 s…
\(x = 10\)
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8 point a is plotted on the coordinate plane. plot another point, b, in…
Plot the point \(B\) at \((-1,-2)\) (assuming a grid - based integer - coordinate solution with a possible formula mis - presentation in the problem statement for educational plot…
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find $m\\angle khl$. $m\\angle khl=\\square$
\(40\)
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geometry : homework congruence in right triangle date 11/12/25 period d…
1. Congruent by \(SSS\). 2. Congruent by \(SAS\). 3. Congruent by \(SSS\). 4. Congruent by \(SAS\). 5. Congruent by \(SSS\). 6. Not congruent. 7. Congruent by \(HL\). 8. Not congr…
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a rectangle has side lengths of 4 and 75. below is the rectangle split …
(a) The missing length is \(5\). The area of the blue rectangle is \(280\) square units and the area of the red rectangle is \(20\) square units. (b) \(4\times75 = 300\)
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3 - 116. find the area and perimeter of the shape below. show your work…
The area is approximately \(31.77m^{2}\) and the perimeter is approximately \(23.30m\).
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the movement of the progress bar may be uneven because questions can be…
The third option (the one with the line going to the left from negative infinity up to an open - circle at 2 and another line going to the right from an open - circle at 3 to posi…
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find ( mangle tqw ). ( mangle tqw=square^{circ} )
\(46\)
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rections - use the triangle angle sum theorem to fill in the blanks. ag…
The lower blank is \(64^{\circ}\) (assuming the problem intended the non - right triangle to have angles \(86^{\circ}\), \(30^{\circ}\), \(64^{\circ}\) (sum \(86 + 30+64 = 180\)) …
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match each compound inequality on the left to the graph that represents…
- \(8x < 24\) and \(-8\leq2x - 4\) matches the third graph (with closed - circle at \(-3\) and open - circle at \(2\)) - \(5x - 2>13\) or \(-4x\geq8\) matches the second graph (wi…
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find $m\\angle bfc$. one way to get started is with a vertical angle re…
\(62\)
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solve $x - 9 \\geq - 2$ and graph the solution. $x \\geq 7$ $x \\geq 7$…
The first option (the one with \(x\geq7\) and a closed - circle at \(7\) with the line going to the right) is correct.
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question given ( m | n ), find the value of ( x ).
\(x = 12\)
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solving one-step inequalities topic: solving one-step inequalities prog…
The second option (the number - line with an open circle at \(0\) and the arrow pointing to the right) shows the inequality \(x>0\).
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graph the solution to $-5x < 35$ on the number line. select a tool belo…
Use the "Point (Exclusive)" tool to mark \(-7\) on the number line (an open circle at \(-7\)), then use the "Line" tool to draw a line from that open circle towards the positive d…
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example 6 multiple - choice question ex6: which congruency theorem can …
SAS (Side - Angle - Side)
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example 5 ex5: which congruency theorem can be used to prove that these…
ASA
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what does the metaphor in this text suggest? conscience is a mans compa…
Your conscience guides you to act the right way.
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example 4 ex4: which congruency theorem can be used to prove that these…
HL
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example 3 ex3: which of the following congruency theorem can be used to…
ASA
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example 3 multiple-choice question ex3: which of the following congruen…
ASA
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use the given value of a trigonometric function of θ to find the values…
\(\cos(\theta)=\frac{4}{5}\), \(\tan(\theta)=\frac{3}{4}\)
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9 look at triangle def. what are the lengths, to the nearest hundredth,…
\(DE = 7.81\) units, \(EF = 13.00\) units, \(FD = 10.00\) units
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example 2 ex2: which of the following congruency theorems can be used t…
SAS
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which is the correct substitution for finding the length of the prism? …
\(230 = l\times8\frac{1}{2}\times3\frac{1}{2}\) (the fourth option)
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which face of the net will be the right side of the prism when the net …
C.
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graph the inequality $x < 5$ on the number line. select a tool below: c…
Use the "Point (Exclusive)" tool to mark an open circle at 5 and the "Line" tool to draw a line extending to the left from that open circle.
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which angle has a measure of 46°? ∠pwq ∠qwr ∠rws ∠swt
\(\angle PWQ\)
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how many cubic centimeter blocks are in the bottom layer of the prism s…
12
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example 1 multiple - choice question ex1: which congruency theorem can …
SSS
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which statement about the net is true? the net can be folded to form a …
The net cannot be folded to form a pyramid because the faces that are not a base are not all triangles.
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triangle sum equation = x = degrees measure of ∠t = degrees
Triangle sum equation \(=x+(x + 15)+3x=180\) \(x = 33\) degrees Measure of \(\angle T=99\) degrees
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tori is sending a birthday gift to her friend out of state and wants to…
Covering the entire box is the surface area, which is \(664\space in^{2}\).
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40 name the two pairs of vertical angles in the figure. 40 ∠1 and ∠3 ∠2…
\(m\angle2 = 76^{\circ}\) \(m\angle3 = 104^{\circ}\) \(m\angle4 = 76^{\circ}\)
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name the two pairs of vertical angles in the figure. ∠1 and ∠2 and
∠1 and ∠3, ∠2 and ∠4
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what is the surface area of the solid that this net can form? 730 squar…
730 square millimeters
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right triangles abc and a afe shown on the coordinate grid. which ratio…
D. AB/AC and FE/CE
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6 plot a new point, l, at (6, 0). which distance is longer, from point …
point \(M\) to point \(L\)
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statements 1. \\( \\overline { a e } \\) bisects \\( \\overline { b d }…
1. Def. of Bisector 2. Def. of Bisector (since \(\overline{AE}\) bisects \(\overline{BD}\), \(BC = DC\) which is equivalent to \(\overline{BC}\cong\overline{DC}\)) 3. Given 4. Ver…
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maria is covering an entire box with 1 - in. mosaic tiles and wants to …
The amount of mosaic tiles covering the box is the surface area, which is \(157\space in^{2}\) (assuming \(l = 9.5\) in, likely a mis - representation of the length in the problem…
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nancee knight learn triangle congruence theorems triangle congruence th…
\(AB\)
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statements 1. \\( \\overline { w y } \\cong \\overline { z x } \\) 2. \…
The two - column proof is a valid way to show the congruence of \(\angle W\) and \(\angle Z\) using the given side congruences, the reflexive property, SSS congruence, and CPCTC.
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2 in. 4 in. 2\\frac{1}{4} in. there are 8 one - quarter cubes and 16 un…
There are 8 one - quarter cubes and 16 unit cubes so \((8\times\frac{1}{4})+16\) will give the volume.
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directions - complete the proof below (answers may be used more than on…
The proof is completed as shown above to establish that \(\angle A\cong\angle E\).
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ryan wants to describe the translation shown on the grid. ryan uses the…
Step 2
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line jl and line km intersect at point h. find the three unknown angle …
The three unknown angle measures are \(51^{\circ}\), \(129^{\circ}\), \(51^{\circ}\)