Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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what is the surface area of the composite solid? 162 m² 146 m² 119 m² 1…
\(162m^{2}\)
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question if you place a 24 - foot ladder against the top of a 22 - foot…
\(9.6\)
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what is the surface area of the composite solid? 1,658 m² 1,808 m² 1,95…
\(1,658m^{2}\)
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if you place a 34 - foot ladder against the top of a building and the b…
The height of the building is approximately \(23.0\) feet.
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what is the surface area of the composite solid? 1,658 m² 1,808 m² 1,95…
\(1,658m^{2}\)
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you start driving west for 5 miles, turn left, and drive south for anot…
\(9.4\) miles
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a certain television is advertised as a 90 - inch tv (the diagonal leng…
\(64.3\) inches
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surface area of composite figures what is the total surface area of the…
702 square centimeters
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question 7 (20 points) determine whether each pair of triangles is simi…
are, Side - Side - Side, proportional, 3/4
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complete the parts below. (a) find the rise, run, and slope given by tr…
(a): rise: \(4\), run: \(12\), slope: \(\frac{1}{3}\) ### Part (b)
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1) solve and graph the inequality. show all steps. 11x - 9 > 13 or - 4x…
The solution of the compound inequality \(11x - 9>13\) or \(-4x - 4>8\) is \(x < - 3\) or \(x>2\). On the number - line, we have an open circle at \(x = - 3\) and shade to the lef…
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question 6 (25 points) determine whether each pair of triangles is simi…
are not, Side - Side - Side, not proportional, 42, 30
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what is the total surface area of the solid? 842 square centimeters 702…
702 square centimeters
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question 5 (23 points) determine whether each pair of triangles is simi…
are; Side - Angle - Side; proportional; 45; 45
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question 4 (5 points) explain how you can determine that each pair of t…
C. Side - Angle - Side Similarity Theorem
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question 3 (5 points) explain how you can determine that each pair of t…
A. Angle - Angle Similarity Theorem
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identify the vertex. (-4,0) (2,0) (0,-5) (-2,0)
\((-2,0)\)
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kaylas work sa = 2((5)(7)) + 2((6)(7)) + 2(\\frac{1}{2}(5)(9.3)) + 2(\\…
She included the face where the pyramid and prism are joined together. She should have simplified \(2((5)(7)) + 2((6)(7))+2(\frac{1}{2}(5)(9.3)) + 2(\frac{1}{2}(6)(9.2))-2\).
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question 2 (5 points) explain how you can determine that each pair of t…
B. Side - Side - Side Similarity Theorem
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column a 1. angle - angle similarity theorem 2 side - side - side simil…
1. c 2. b 3. a
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use the $p\\to q$ if you are climbing a mountain at an altitude of 28,5…
The polygon has two sets of parallel sides.
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which two triangles are congruent? complete the congruence statement.
\( \triangle HFG \cong \triangle YZX \) (or other correct vertex - ordered congruence based on the markings, but the key is identifying the two triangles with SAS congruence: \( \…
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pre-algebra ic sem 2 fall 2025 surface area of composite figures which …
Helen's net is incorrect because she forgot to include the shared rectangular face where the upper and lower solids are joined together.
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devon studied the composite figure. he believed the surface area, in sq…
He included the \(34\) by \(20\) base of the figure.
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devon studied the composite figure. he believed the surface area, in sq…
He included the 34 by 20 base of the figure.
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devon studied the composite figure. he believed the surface area, in sq…
He omitted the rectangle where the upper and lower solids join together.
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solve for the remaining sides and angles if possible (if not, answer \d…
\(b = 9.92\), \(c = 8.85\)
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12. 13. 14. 15. please find the measures of the missing angles. draw a …
12. \(x = 2\) (Supplementary) 13. \(x = 7\) (Complementary) 14. \(x = 10.5\) (Supplementary) 15. \(x = 10\) (Supplementary) 16. \(m\angle B = 28^{\circ}\), \(m\angle C = 62^{\circ…
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give a pair of corresponding angles, a pair of alternate exterior angle…
(a) Corresponding angles: $\angle1$ and $\angle3$ (or $\angle5$ and $\angle7$, $\angle2$ and $\angle4$, $\angle6$ and $\angle8$) (b) Alternate exterior angles: $\angle1$ and $\ang…
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the volume of a cone is \\( \\frac { 1 } { 3 } \\) that of a cylinder w…
\(3282\)
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12. midpoint of mn is (2,-3) and n is (-4,5). what are the coordinates …
\((8,-11)\)
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10. midpoint of rs is (9,-7) and s is (12,-9). what are the coordinates…
\((6,-5)\)
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9. midpoint of ab is (0,0) and a is (3,-4). find b. type a response...
\(B=(-3,4)\)
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8. midpoint of xy is (-6,5) and y is (-2,-1). what are the coordinates …
The coordinates of $X$ are $(-10,11)$
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7. midpoint of pq is (4,3) and p is (7,8). what are the coordinates of …
The coordinates of \(Q\) are \((1,-2)\)
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which two triangles are congruent by the sss theorem? complete the cong…
\( \triangle ABC \cong \triangle IJK \)
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b. if the volume of a regular tetrahedron is 18√2 cubic centimeters, wh…
\(a = 6\) centimeters.
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3 the volume of a regular tetrahedron (a pyramid made from 4 equilatera…
\(s=\sqrt[3]{6\sqrt{2}V}\)
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if \\( \\triangle snd\\sim\\triangle lwd \\), find the value of \\( x \…
\(4\)
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the pythagorean theorem only works on which triangle?
right
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lets try a cut out the which set of sides would make a right triangle?
The set of sides \(5,12,13\) makes a right - triangle.
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if three sides of a right triangle are 9, 40, and 41, which side is the…
\(41\)
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the pythagorean theorem is $c^{2}=a^{2}-b^{2}$
false
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what is the relationship between the sides in the pythagorean theorem s…
\(a^{2}+b^{2}=c^{2}\)
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classify the angle. acute right obtuse straight
straight
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find the length of the missing side.
\(13\) cm
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side a on a right triangle is always the longest side. false true
false
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what is the name for side c? 5/15
hypotenuse
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which equation reflects the right triangle shown? 14² + 20² = x² x² - 1…
\(x^{2}+14^{2}=20^{2}\) (the orange option)
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what side(s) will always be the longest on a right triangle? leg a the …
The hypotenuse.
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do the lengths form a right triangle? 6, 8, 10
Yes, the lengths \(6\), \(8\), \(10\) form a right - triangle.
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do the segment lengths 15, 12, and 9 form a right triangle?
Yes, the segment lengths 15, 12, and 9 form a right - triangle.
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do the segment lengths 15, 12, and 9 form a right triangle?
Yes
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a right triangular prism has equilateral triangles for bases. each side…
\(20\sqrt{3}\text{ cm}^3\) (the fourth option)
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a circle is rotated around its diameter. what three - dimensional objec…
Sphere
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what is the shape of the cross - section formed when a cone is cut perp…
Triangle
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what two - dimensional figure could be rotated to generate the three - …
The first option (the circle) is the two - dimensional figure that can be rotated to generate the three - dimensional solid (a sphere).
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which rule explains why these triangles are congruent? aas sss sas asa …
SSS (The triangles are congruent by the SSS (Side - Side - Side) congruence rule as three pairs of corresponding sides are congruent: \( VW = TU \), \( WS = TS \), and \( VS = US …
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consider the following drawing of a paper roll. if the length of the ro…
\(SA = 2(\pi r^{2}-\pi r_{1}^{2})+16\pi r+16\pi r_{1}\text{ in}^{2}\) (the third option)
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which of the following transformations carry this regular polygon onto …
rotation of \(40^{\circ}\) counterclockwise, reflection across \(l\)
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which of the following transformations carry this regular polygon onto …
reflection across \(l\), rotation of \(45^{\circ}\) counterclockwise
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which of the following transformations carry this regular polygon onto …
reflection across \(l\), rotation of \(120^{\circ}\) clockwise, rotation of \(120^{\circ}\) counterclockwise
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which of the following transformations carry this regular polygon onto …
rotation of \(90^{\circ}\) counterclockwise
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2. using a divider, identify the shortest and the longest side in each …
The points \(D\), \(E\) and \(F\) are collinear. The point \(D\) lies between \(E\) and \(F\)
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which of the following transformations carry this regular polygon onto …
rotation of \(60^{\circ}\) counterclockwise, reflection across \(l\), rotation of \(60^{\circ}\) clockwise
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which of the following transformations carry this regular polygon onto …
rotation of \(72^{\circ}\) clockwise
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which of the following transformations carry this regular polygon onto …
rotation of \(120^{\circ}\) counterclockwise, rotation of \(120^{\circ}\) clockwise
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which of the following transformations carry this regular polygon onto …
reflection across \(l\), rotation of \(90^{\circ}\) counterclockwise
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which of the following transformations carry this regular polygon onto …
reflection across \(l\), rotation of \(60^{\circ}\) clockwise
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which of the following transformations carry this regular polygon onto …
rotation of \(120^{\circ}\) counterclockwise
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which rule explains why these triangles are congruent? sss aas asa sas …
AAS
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which rule explains why these triangles are congruent? sas aas asa sss …
AAS
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which explicit formula can be used to determine the number of triangles…
\(a_n = 4(2)^{n-1}\) (the fourth option)
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5 multiple choice 1 point which explicit formula can be used to determi…
\(a_{n}=4(2)^{n - 1}\)
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name a pair of consecutive exterior angles from the diagram below. sepa…
2,8
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name a pair of consecutive interior angles from the diagram below. sepa…
3,4 (or 4,7)
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find the measure of \\( \\angle k \\) in parallelogram \\( j k l m \\)
\(56^{\circ}\)
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directions: determine whether the triangles are similar by aa~, sss~, s…
The triangles are similar by SSS\(\sim\). Similarity statement: \(\triangle RST\sim\triangle QNP\) ### Problem 2:
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angles a and b are supplementary. angle a has a measure of 80°. what is…
\(100^\circ\)
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angle acd is supplementary to angles ace and bcd and congruent to angle…
- Angle BCE is supplementary to angle ACE - Angle BCD is supplementary to angle BCE - Angle BCD is congruent to angle ACE
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rectangle qrst is shown. angle qrt is congruent to angle str, and angle…
They are complementary.
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two lines are intersected by a third line. if ∠2 ≅ ∠6, which must be tr…
\( m\angle 2 = m\angle 8 \) (la tercera opción: \( m\angle 2 = m\angle 8 \))
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points a, b, and c are on line ac. angle cbd has a measure of 140°. wha…
40° (corresponding to the option: 40°)
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angles 1 and 2 form a right angle. which word describes their measures?…
complementary (the option corresponding to "complementary")
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right angle fcd intersects \\( \\overleftrightarrow { a b } \\) and \\(…
They are congruent and complementary.
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lines de and ab intersect at point c. what is the value of x? 12 25 38 …
25
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in the figure, \\( \\angle rqs \\cong \\angle qlk \\). what is the valu…
108
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given: \\( \\angle 1 \\) is complementary to \\( \\angle 2 \\). \\( \\a…
\( m\angle 1 + m\angle 2 = 90^\circ \)
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13. if \\( \\triangle p q r \\sim \\triangle s q t \\), find the value …
\(x = 15\)
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what is ( mangle dfc )? ( 45^{circ} ) ( 80^{circ} ) ( 125^{circ} ) ( 13…
80° (opción: 80°)
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ab = 5, bc = 7, cd = 10, de = 8, and ef = 12 which of the following cou…
A. AB, BC and CD B. AB, BC and DE D. BC, CD and EF E. AB, DE and EF
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what three - dimensional solid is generated by stacking a large numb of…
Rectangular prism
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in \\( \\triangle a b c, a b = 5 \\mathrm { ft } \\) and \\( b c = 3 \\…
B. \(2 < AC < 8\)
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given: ( mangle orp = 80^{circ})( mangle orn=(3x + 10)^{circ})prove: ( …
\( \boldsymbol{\angle ORP} \) and \( \boldsymbol{\angle ORN} \) are a linear pair (the first option: \( \angle ORP \) and \( \angle ORN \) are a linear pair)
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what is the measure of angle trv? 20° 50° 60° 130°
\( 130^\circ \) (the option with \( 130^\circ \))
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which pair of angles are vertical angles? ∠wru and ∠srt ∠wrs and ∠vrt ∠…
$\boldsymbol{\angle WRS}$ and $\boldsymbol{\angle VRT}$
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the lengths of two sides of a triangle are 6 and 8, then the third side…
A. 7, E. 2.5, G. 10
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given: ( mangle edf = 120^{circ}; mangle adb=(3x)^{circ}; mangle bdc=(2…
vertical angles are congruent
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a box containing food is described below. • the bottom part of the box …
\(500\space cm^{3}\) (the fourth option)
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a right pyramid has a rectangular base with a length that is 3 times it…
\(V=x^{3}+4x^{2}\) (the fourth option)