Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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graph. x ≤ -640 to draw a ray, plot an endpoint and select an arrow. se…
Plot a closed circle at \(-640\) on the number - line and draw a ray to the left.
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in the figure below, ( m angle 2 = 56 ^ { circ } ) and ( m angle g f h …
\(89^{\circ}\)
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using the given coordinates, determine whether \\( \\triangle abc \\con…
\(AC = 2.8\), \(BC=3.2\), \(DE = 3.2\), \(EF = 3.6\), \(DF=2.2\), \(\triangle ABC ot\cong\triangle DEF\)
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graph. x ≤ -40 to draw a ray, plot an endpoint and select an arrow. sel…
Plot a closed circle at \(-40\) on the number line and draw a ray extending to the left from that closed circle.
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what is true about every rotation? the image is smaller than the pre - …
The corresponding lengths, from the point of rotation, between the pre - image and image are preserved.
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in the figure below, ( mangle 2 = 56^{circ} ) and ( mangle gvh = 142^{c…
\(86^{\circ}\)
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graph. x < -750 to draw a ray, plot an endpoint and select an arrow. se…
Plot an open circle at \(-750\) and draw a ray pointing to the left.
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which translation vectors could have been used for the pair of figures?…
The translation vectors that point to the right (horizontal or diagonal with a right - ward component) are the correct answers.
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state the third congruence that must be given to prove that △def≅△abc u…
\(\angle E\cong\angle B\)
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in \\( \\triangle a b c \\) shown below, side \\( \\overline{a c} \\) i…
\(60^{\circ}\) (Option 3)
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in the figure below, $m\\angle1 = 26^{circ}$ and $m\\angle2 = 28^{circ}…
\(54\)
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latrell will rotate △abc 180° about one of the labeled points. latrell …
point \(B\), point \(C\)
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what kind of transformation is illustrated in this figure? reflection d…
translation
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state the third congruence that must be given to prove that \\( \\trian…
\(\angle A\) is a right angle
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if ( a parallel b ) and ( e parallel f ), what is the value of ( y )? (…
92
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step angle reason 1 $m\\angle adb = 98^{\\circ}$ given 2 $m\\angle b = …
\(\angle C = 61^{\circ}\)
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state the third congruence that must be given to prove that \\( \\trian…
\(\angle B\)
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lines a and b are parallel lines cut by transversal f. if ( mangle1 = 1…
\(70^{\circ}\) (the second option)
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bookends the books are held up with bookends in the shape of triangles.…
\(28^{\circ}\)
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figure j k l m is a rectangle, so ( m angle k j m = m angle k l m = 90 …
Angles that are congruent are complementary to the same angle.
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decided whether enough information is given to prove that the triangles…
For \(\triangle ABC\) and \(\triangle FEC\): - Enough Information: Yes - Postulate or Theorem: SAS (Side - Angle - Side) For \(\triangle HIJ\) and \(\triangle HKJ\): - Enough Info…
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5. linking verbs connect the subject to another part of the sentence; l…
- Linking verb: Underline "felt" - Action verb: Circle "read"
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4. underline the transitive verb; circle the direct object. jeanie mail…
Underline: mailed; Circle: a letter
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which figures demonstrate a translation? select each correct answer.
The second and third figures (assuming the second is the middle left and the third is the middle right in a standard layout of the problem's figures).
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helicopter pad a local hospital builds a new helicopter pad as shown. i…
\(47^{\circ}\)
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1. which type of transformation took place? reflection no transformatio…
Reflection
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the first step in passing should be: check blind spots and all angles o…
Activate turn signal
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state the third congruence that must be given to prove that \\( \\trian…
\(\angle E\cong\angle B\)
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4. coordinate a is located at (4, 9). what would the coordinate be if i…
\((0,9)\)
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step angle reason 1 $m\\angle adb = 98^{\\circ}$ given 2 $m\\angle b = …
\(m\angle ADC = 82^{\circ}\), Reason: Linear - pair (supplementary angles)
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find the measure of the given angle. if ( mangle mpn = 32^{circ} ) and …
\(59^{\circ}\)
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state the third congruence that must be given to prove that \\( \\trian…
\(AB\cong DE\)
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for △abc, which one is equivalent to sin(a)?
\(\cos(C)\)
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2. coordinate a is located at (4, 9). what would the coordinate be if i…
\((-4,9)\) (the third option)
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t is between points p and b. pt = 15 and tb = 10. what is pb? enter you…
\(25\)
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what is the approximate value of b, rounded to the nearest tenth? use t…
\(4.7\) units
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find the measure of the given angle. if ( mangle mpn = 32^{circ} ) and …
\(57^{\circ}\)
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using the given coordinates, determine whether \\( \\triangle abc \\con…
\(AB = DE\approx3.2\), \(BC\approx3.2\), \(EF\approx3.6\), \(AC\approx2.8\), \(DF\approx2.2\), \(N\) (Since not all corresponding sides are equal, \(\triangle ABC\) is not congrue…
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line jm intersects line gk at point n. which statements are true about …
\(\angle GNJ\) is complementary to \(\angle JNK\) and \(\angle GNM\) is supplementary to \(\angle JNK\)
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consider circle n with radius 30 cm and \\( \\theta = \\frac{\\pi}{6} \…
15.7 centimeters
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state the third congruence that must be given to prove that \\( \\trian…
\(\overline{BC}\cong\overline{EF}\)
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find the measure of the given angle. if ( mangle lpn = 132^{circ} ) and…
\(95^{\circ}\)
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what is the length of \\( \\overline { t w } \\)? enter your answer in …
\(32\)
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decide whether the congruence statement is true. △ijh≅△jhk
True
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use the diagram to name the included angle between the given pair of si…
1. \( \angle HIG \) 2. \( \angle HIG \) 3. \( \angle JGI \)
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step angle reason 1 ( m angle a d b = 98 ^ { circ } ) given 2 ( m angle…
The reason is "Sum of angles in a triangle".
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use the diagram to name the included angle between the given pair of si…
1. \( \angle GHI\)
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what are the angle measures of triangle abc? m∠a = 30°, m∠b = 60°, m∠c …
\(m\angle A = 90^{\circ},m\angle B = 60^{\circ},m\angle C = 30^{\circ}\) (the fourth option)
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find the measure of the given angle. find ( mangle lpn ) if ( angle 3 )…
\(180\)
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decided whether enough information is given to prove that the triangles…
- For \(\triangle ABC\) and \(\triangle FEC\): Yes, SAS (Side - Angle - Side) - For \(\triangle HIJ\) and \(\triangle HKJ\): Yes, HL (Hypotenuse - Leg)
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building a and building b are 311 meters apart. there is no road betwee…
183 meters
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state the third congruence that must be given to prove that \\( \\trian…
\(\angle E\cong\angle B\)
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line segment on is perpendicular to line segment ml, and pn = 10. what …
\(500\) square units
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find the length of the segment connecting (-2,4) and (0,-5). provide an…
\(9.2\)
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find the measure of the given angle. if ( mangle mpn = 39^{circ} ) and …
\(87^{\circ}\)
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find the measure of the given angle. find ( mangle rpn ) if ( mangle mp…
\(55^{\circ}\)
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solve and graph the following inequality: $-1\\leq7x + 9$
The solution of the inequality is \(x\geq-\frac{10}{7}\). On the number - line, we draw a closed circle at \(x =-\frac{10}{7}\) (because the inequality includes equality, \(\leq\)…
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a gardener makes a new circular flower bed. the bed is fourteen feet in…
circumference \(= 14\pi\) feet, area \(= 49\pi\) square feet (the third option)
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measure the surface area and the volume of each of the cubes below. sho…
| | Box 1 | Box 2 | Box 3 | |---|---|---|---| | Surface Area (\(cm^{2}\)) | \(6\) | \(24\) | \(54\) | | Volume (\(cm^{3}\)) | \(1\) | \(8\) | \(27\) | | SA/Volume Ratio | \(6\) | …
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find the perimeter and area of the polygon shown below. $p = 87$ feet, …
\(P = 72\) feet, \(A = 308\) square feet (the second option)
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a right triangle has a leg of length 22 yards and a hypotenuse of lengt…
\(31.0\) yards
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in the figure below, \\( \\triangle abc \\) is similar to \\( \\triangl…
\(14\)
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which of the following pairs show(s) triangles that are similar but not…
A, B, and C
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find the length of the missing side. provide an answer accurate to the …
\(11.4\) inches
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classify the triangle below. acute - scalene right - equilateral right …
Right - scalene
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a ramp 15 ft long rises to a platform that is 12 ft off the ground. fin…
\(53.1\)
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find x, the angle of depression from the top of a lighthouse that is 17…
\(11.9\)
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jamila keeps alpacas on a 1 - acre, square lot near her home. she has 8…
296 feet
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a ramp 37 ft long rises to a platform. the bottom of the platform is 17…
\(62.7\)
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use the relationships in 45 45 90 triangles to solve the following prob…
\(2\sqrt{2}\text{ cm}\) (the first option)
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what is the length of the hypotenuse of a 30 - 60 - 90 triangle if the …
12
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if the side opposite a 60 - degree angle in a 30 - 60 - 90 right triang…
14 cm
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use what you know about the relationships in 30 - 60 - 90 right triangl…
\(18\sqrt{3}\) inches (the first option)
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proof in the figure, u is the midpoint of (overline{tv}), and (x = 3). …
By the Substitution Property of Equality, substitute \(x = 3\) into \(TU = 3x\) and \(VW=6 + x\) to get \(TU=9\) and \(VW = 9\), so \(TU = VW\). Since \(U\) is the midpoint of \(\…
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proof in the figure, ( u ) is the midpoint of ( overline{tv} ), and ( x…
\(V\) is the midpoint of \(\overline{UW}\) as shown in the above proof steps.
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2. if z is the centroid of \\( \\triangle lmn \\), \\( wz = 4 \\), \\( …
a) \(ZM = 20\) b) \(WM = 12\) c) \(XZ = 7\) d) \(XN = 21\) e) \(LZ = 8\)
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proof in the figure, u is the midpoint of tv, and x = 3. write a paragr…
By substituting \(x = 3\) into the expressions for \(TU\) (\(TU = 3x\)) and \(VW\) (\(VW=6 + x\)), we find \(TU=9\) and \(VW = 9\). Because \(U\) is the mid - point of \(TV\), \(T…
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volume = length x width x height 2. volume = 90 in³ x= 3. volume= = 4. …
1. \(96\) in³ 2. \(x = 5\) in 3. \(168\) m³ 4. \(y = 7\) cm 5. \(z = 2\) ft 6. \(729\) in³
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which of the following sets of numbers could not be the lengths of the …
\(23,20,1\)
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uv and rv are secant segments that intersect at point v. what is the le…
# Explanation: ## Step1: Apply the secant - secant rule If two secant segments \(UV\) and \(RV\) intersect at a point \(V\) outside the circle, then \(VS\times VR=VT\times VU\). W…
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a flagpole casts a shadow on a flat concrete patio. the pole is 8 feet …
\(43.3\) feet
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find the length of the segment connecting (0, 1) and (-6, -2). provide …
\(6.7\)
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a small square frame has an area of 16 square inches. a large square fr…
4
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a cube has a volume of 27 cubic units. what is the length of one of its…
3
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cindy takes a sheet of paper and cuts from one corner to the opposite c…
\( 46.7 \) inches
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consider a triangle abc like the one below. suppose that a = 41°, b = 6…
\(C = 73^{\circ}\), \(a\approx45.5\), \(b\approx61.5\)
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a right triangle has a leg of length 16 yards and a hypotenuse of lengt…
\(16.5\)
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the volume of a box is 0.001 cubic units. if the box is a cube, what is…
\(0.1\)
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hercules takes a sheet of paper and cuts from one corner to the opposit…
\(33.3\) inches
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find the length of the segment connecting (1,8) and (5,7). provide an a…
\(4.1\)
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3.1 midsegments in each triangle, m, n, and p are the midpoints of the …
1) \(\overline{NM}\) 2) \(\overline{MN}\) 3) \(\overline{NM}\) 4) \(\overline{DB}\) 5) \(5\) 6) \(6\) 7) \(12\) 8) \(6\)
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** this is a 2 - page document!ach variable.23045°xyx = y =
\(x = 15\sqrt{2}\), \(y = 15\sqrt{2}\)
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directions: find the value of each 1. 2 13 x = 13 13√2 y =
\(x = 13\), \(y=13\sqrt{2}\)
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find the value of each variable. 11. 12. 14. 15. 17. 18. 20. 22.
\(x = \sqrt{5}\), \(y=\sqrt{5}\)
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question 10 (1 point) find the area. 15 ft 7 ft 19 ft area = square fee…
\(121\)
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12. x = ________ y = ________ 15. x = ________ y = ________
For problem 12: \(x = 4\), \(y = 4\sqrt{2}\) For problem 15: \(x = 9\), \(y = 9\)
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what is ( mangle cbd )?( mangle cbd=)
\(5^{\circ}\)
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mixed practice! find the value of 10. 28 45° x = y =
\(x = 14\sqrt{2}\), \(y = 14\sqrt{2}\)
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from the observation deck of a skyscraper, aaliyah measures a 67° angle…
\(375.7\) feet
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1. which angle pairs include the named angle? a. ∠4 enter your answer. …
a. \( \angle1,\angle3,\angle5,\angle6 \) b. \( \angle5,\angle6,\angle3,\angle2 \)