Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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comparing volume of spheres and cylinder... a is a three - dimensional …
1. Cylinder 2. Radius 3. Sphere 4. Volume formula
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1. in a triangle, the ratio of the measures of the sides is 2:5:8. what…
\(\approx28.96^{\circ}\)
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in the formula $\frac{4}{3}pi r^{3}$ for the volume of a sphere, $r$ re…
1. radius 2. cubic 3. units 4. volume 5. height
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dilations are _ but not congruent. congruent similar flipped rotated
B. Similar
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a dilation always produces a congruent figure.
False
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classify the triangle using its angles. acute right obtuse
acute
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4. find the minimum and maximum possible areas of a rectangle measuring…
minimum area: \(57.75\ km^{2}\) maximum area: \(74.75\ km^{2}\)
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classify the triangle using its angles.
obtuse
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if two shaped are dilated with the same scaled factor they are similar …
A. similar
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find the height of a flagpole as shown in the figure below, if it casts…
\(9\)
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which scale factor is an example of an enlargement? k = 0.75 k = 1/2 k …
\(k=\frac{3}{2}\)
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4 multiple choice 1 point if the area of a triangle is 10 square inches…
A. 4 inches
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which of these rectangles has the same area as the triangle? choose all…
B. a 21 cm - by - 6 cm rectangle, C. an 18 cm - by - 7 cm rectangle, E. a 14 cm - by - 9 cm rectangle
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use similar triangles and a proportion to find the height of the house …
\( 24 \)
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2 multiple choice 1 point what is the area of the triangle? 4 cm 6 cm a…
B. \(12\space cm^{2}\)
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a sail on a boat is shaped like a triangle as shown. what is the area o…
7.4 square meters
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use similar triangles and proportions to find the length of the swamp s…
\(22\)
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use similar triangles and a proportion to find the length of the lake s…
\(125\)
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3. given: ( mangle abc = 76^{circ}, mangle cbe = 100^{circ} ) prove: ( …
By substituting \(m\angle ABC = 76^{\circ}\) and \(m\angle CBE = 100^{\circ}\) into \(m\angle ABC + m\angle CBE\), we get \(76^{\circ}+100^{\circ}=176^{\circ}\). Using the angle -…
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decide whether you can use the given information to prove that (\triang…
No, we cannot use the given information \( \angle C\cong\angle F\), \(AB\cong DE\), \(BC\cong EF\) to prove that \( \triangle ABC\cong\triangle DEF\). The SSA (side - side - angle…
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opposite side/hypotenuse =
\(\frac{\sqrt{3}}{4}\)
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if the origin is the center of this dilation, choose the correct scale …
3
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determine the relationship between the two triangles and whether or not…
The two triangles are related by Side - Side - Angle (SSA), so the triangles CANNOT be proven congruent.
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are the following similar? why or why not? no, the ratios of the corres…
Yes
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determine the relationship between the two triangles and whether or not…
The two triangles are related by Side - Side - Angle (SSA), so the triangles cannot be proven congruent.
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determine the relationship between the two triangles and whether or not…
can be proven congruent
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(b) \\( \\frac { \\text { opposite side } } { \\text { adjacent side } …
\(\frac{2\sqrt{5}}{5}\), \(\frac{2}{3}\)
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determine the relationship between the two triangles and whether or not…
The two triangles are related by Angle - Angle - Side (AAS), so the triangles are congruent.
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directions - dilate △abc by a scale factor of 4, centered at the origin…
The vertices of the dilated triangle are \( (4,0) \), \( (4,-4) \), \( (12,-8) \)
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what is the slope in the picture? positive undefined negative zero
Positive
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determine the relationship between the two triangles and whether or not…
The two triangles are related by \(ASA\), so the triangles \(are\ congruent\).
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find the area of the smaller sector. area = ?m² round your answer to th…
\(22.34\space m^{2}\)
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in a dilation what mathematical operation is used with the scale factor…
multiplication
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graph the solution set. (-∞, -5) ∪ (0,5) use the tools to enter your an…
Graph with an open circle at \(-5\) and an arrow to the left for \((-\infty,-5)\), and open circles at \(0\) and \(5\) with a line segment between them for \((0,5)\).
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given two similar triangles, as shown in the figure below, find the unk…
\(\frac{8}{3}\)
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find the area of the rhombus. 5 ft 12 ft 12 ft 5 ft
# Explanation: ## Step1: Find the lengths of the diagonals The diagonals of a rhombus are perpendicular bisectors of each other. One diagonal[SSE Completed, Client Connection Erro…
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12. find the approximate length of the leg of a right triangle with one…
17.2
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given ( mparallel n ), find the value of x. answer attempt 1 out of 2 (…
\(x = 14\)
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to perform a dilation you need center of dilation scale factor a point …
center of dilation, scale factor, a point to dilate
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given m||n, find the value of x. answer attempt 1 out of 2 x=
\(x = 17\)
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11. determine whether the forces in the pair are pulling at right angle…
3.0
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in the following diagram, \\( \\overline { h i } \\) is parallel to \\(…
\(122\)
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given ( mparallel n ), find the value of x. answer attempt 1 out of 2 (…
\(10\)
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given ( mparallel n ), find the value of ( x ). answer attempt 1 out of…
\(x = 39\)
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given two similar triangles, as shown in the figure below, find the unk…
\(12\)
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question given ( mparallel n ), find the value of x. answer attempt 1 o…
\(13\)
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in the similarity transformation of \\( \\triangle abc \\) to \\( \\tri…
\((x + 2,y-1)\)
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9. find the length of the missing side. if necessary, round to the near…
\(17.0\)
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you might need: calculator find the value of x in the triangle shown be…
\(17\)
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(b) the slope of of cb is: (c) the slope of cb is (d) lines cb and cb a…
(b) \(-\frac{5}{8}\) (c) \(-2\) (d) not parallel, different
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a dilation makes figures change shape flip rotate change size
change size
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in the similarity transformation of \\( \\triangle abc \\) to \\( \\tri…
Scale factor: \(\frac{1}{3}\), reflected across the \(x -\)axis.
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similar figures have the same ------- but different -------. value; mea…
shape; sizes
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point ( a ) is the image of point ( a ) under a rotation about the orig…
A. \(90^{\circ}\) clockwise, E. \(270^{\circ}\) counterclockwise
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find the scale factor for each scale. 7.g.1 17. 6 in. = 10 ft 18. 4 cm …
The scale factor is \(\frac{1}{20}\)
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both of the triangles in the image are congruent - what is angle ∠acb? …
\(36.9^{\circ}\)
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the pair of figures are similar. find the missing side. x = 5 x = 9 x =…
$x = 3$
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5. find the length of the missing side. if necessary, round to the near…
21.5
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if p = (-2,3), find: r_{x = 2}(p)
\((6,3)\)
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3. determine whether the forces in the pair are pulling at right angles…
C. 4.3
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are the following similar? why or why not? yes no, the ratios of the co…
No, the ratios of the corresponding sides are not equal.
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2. find the minimum and maximum possible areas for a rectangle measurin…
minimum area: \(30.40\space cm^{2}\), maximum area: \(30.52\space cm^{2}\) (la tercera opción)
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solve for x. round to the nearest tenth, if necessary. k 21 56° x j
\(14.2\)
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use the graph of the parabola to fill in the table. (a) does the parabo…
A. downward B. x - intercept(s): \(3, - 1\); y - intercept(s): \(-3\) C. vertex: \((1,1)\) D. equation of axis of symmetry: \(x = 1\)
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for each, state the angle relationship. 1. angle \\( \\angle 1 \\) and …
1. Alternate exterior angles 2. No specific standard relationship 3. Linear pair 4. Vertical angles 5. Linear pair 6. Alternate interior angles 7. No specific standard relationshi…
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quadrilateral ( a ^ { prime } b ^ { prime } c ^ { prime } d ^ { prime }…
\( 2 \) units
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14. two rectangles are similar. one has a length of 12 cm and a width o…
10.7 cm
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corresponding angles in similar figures are congruent. false true
True
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complete the similarity statement. a circle is sometimes/always/never s…
A circle is always similar to another circle, because we can always map one onto the other using only dilations and rigid transformations.
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what single transformation was applied to triangle a to get triangle b?…
C. Reflection
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12. the length of a rectangle is 4 centimeters less than twice its widt…
length = 10 cm, width = 7 cm
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did the image enlarge, reduce or none of the above?
Reduce
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what scale factor was used to produce the image?
\(\frac{1}{2}\)
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△abc is the image of △abc under a dilation whose center is a and scale …
B.
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10. two rectangles are similar. one has a length of 10 cm and a width o…
8.8 cm
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which scale factor is an example of a reduction? k = 1 k = 1/2 k = 2.5 …
\(k = \frac{1}{2}\)
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find the value of x in the triangle shown below. x = □°
\(57\)
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solve for x. round to the nearest tenth, if necessary.
\(x\approx6.5\)
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9. a model ship is 28 in. by 65 in. use the scale 1 in. : \\( \\frac { …
14 ft by \(32\frac{1}{2}\) ft
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name the centroid of the triangle shown to the right. the centroid is t…
\(W\)
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state the coordinate of the image of the given point b (4,9) under a di…
\(B'(8,18)\)
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find the value of ( x ) in the triangle shown below. ( x = square ^ { c…
\(93\)
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solve for x. round to the nearest tenth, if necessary. a 12 b x c 61°
\(x\approx6.7\)
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in \\( \\triangle def \\), \\( c \\) is the centroid. if \\( dm = 36 \\…
\(CM = 12\) units
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in \\( \\triangle def \\), \\( c \\) is the centroid. if \\( dm = 36 \\…
\(24\)
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state the coordinate of the image of the given point b (4,9) under a di…
\(B'(8,18)\)
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use \\( \\triangle a b c \\), shown to the right, to answer the followi…
\(6.5\)
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find the value of y. y = \\square
\(y = 4\)
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the pair of figures is similar. find the missing side. x = 4 x = 5 x = …
$x = 5$
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what is the distance in the standard (x,y) coordinate plane between the…
5
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a factory makes candles. each candle is in the shape of a triangular pr…
\(1536\) \(cm^{3}\)
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sides in similar figures must be proportional. false true
True
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use the figure on the right to find tv. tw = □ (type an integer or a de…
\( 9 \)
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what is the distance, in coordinate units, between the points (-10,2) a…
13
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what is the value of x? 4x - 8 2x
\(x = 4\)
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what is the distance in the standard (x,y) coordinate plane between the…
13
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find y, st, and tu ( y = ) ( s t = ) ( t u = ) (type integers or decima…
\(y = 3\), \(ST = 12\), \(TU = 12\)
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2. a painting measures 15 cm long by 24 cm high. you buy two posters, e…
Both posters are accurate representations of the painting.
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what is the distance in the standard (x,y) coordinate plane between the…
\(2\sqrt{5}\) (the first option)
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question 1 of 5 what is the distance, in coordinate units, between the …
\(\sqrt{5}\)