幾何
三角形、円、座標幾何、証明問題。
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find the area of the geometric figure. image of triangle with height 5 …
\( 21\frac{1}{4} \) (or \( 21.25 \)) square yards
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the rectangle is made of unit squares. what is the area of the rectangl…
12
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the area a of a rectangle with dimensions 4x and 5 is described with th…
D. \( 100 \leq 20x \leq 1,000 \) ### Part B
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which transformation shows a reflection of δdef?
The second transformation (with the purple \(\triangle DEF\) and light purple \(\triangle D'E'F'\)) shows a reflection. (Identify the option with the mirror - image triangle, typi…
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the transformation maps δabc to δabc. which statement is true about the…
B. It is isometric because all side lengths and angle measures remained the same.
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what type of transformation maps δqrs to δqrs? ○ dilation ○ reflection …
rotation (Note: There seems to be an error in the above analysis. The correct transformation is rotation. Let's re - analyze: 1. **Dilation**: Since the side markings (indicating …
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which transformations are rigid transformations? check all that apply. …
B. reflection, C. rotation, E. translation
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part a choose the formula for the height of a cone in terms of its volu…
D. \( h = \frac{3V}{\pi r^{2}} \) ### Part B
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diagram: right angle at a (ab=3, ac=4, bc=5), right angle at e (de=9, c…
The correct option is: $\angle DCE$ is congruent to $\angle BCA$ by the Vertical Angles Theorem and $\frac{15}{5}=\frac{12}{4}$ shows the corresponding sides are proportional, the…
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name: _______________ representing and combining transformations eviden…
IV. Translate up and then rotate \( 90^\circ \) counterclockwise about the origin.
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which of the following best completes the proof showing that δwxz ~ δxy…
\(\boldsymbol{\frac{16}{12} = \frac{12}{9}}\) (the second option, e.g., if options are labeled, say B. \(\frac{16}{12} = \frac{12}{9}\))
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question 8 (multiple choice worth 1 points) (03.05r mc) δabc is similar…
XY = 15 (corresponding to the option "XY = 15")
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nt or a reduction. 3) scale factor = \\(\\frac{5}{4}\\)
The scale factor \(\frac{5}{4}\) represents an enlargement (since \(1.25>1\)).
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an aerial camera is suspended from a blimp and positioned at d. the cam…
\(12\) meters (corresponding to the option with \(12\) m)
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a new bridge structure requires triangles that are in a ratio of 1:1. i…
30 ft
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types of dilation a) state whether a dilation with the given scale fact…
Enlargement ### Part 2: Scale factor = \(\frac{1}{8}\)
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if lines m and l are parallel and angle 4 measures 100 degrees, what is…
The measure of angle 7 is \( 80^{\circ} \)
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if line ab is perpendicular to line pq, which of the following statemen…
A. Line AB and Line CD are parallel
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question 3 (multiple choice worth 1 points) (03.05r lc) name the simila…
$\boldsymbol{\triangle ABC \sim \triangle FED}$ (the option: $\triangle ABC \sim \triangle FED$)
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which point on the y-axis is on the line that passes through point r an…
\((0,\frac{2}{3})\) (corresponding to the first option: \(\boldsymbol{(0,\frac{2}{3})}\))
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question 2 (multiple choice worth 1 points) (03 05r mc) δaxy is similar…
\(AB = AX\cdot\frac{AC}{AY}\) (the first option among the given choices)
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question point k is on line segment (overline{jl}). given (jk = 11) and…
\( 16 \)
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line wv is perpendicular to both line rs and line tu. which statement m…
Line TU is parallel to line RS.
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are triangles def and lnm similar if ln equals 5, mn equals 3, de equal…
Yes, by the SAS Similarity Postulate
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question solve for ( mangle pqr ) if ( mangle pqs = 43^circ ) and ( man…
\( 93 \)
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hexagon abcdef → hexagon abcdef. how can the transformation shown be de…
- dilation - nonrigid transformation - stretch
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if coordinates $(-2, -5)$ undergo a translation vector of $\\langle 2, …
\((0,-8)\) (corresponding to the first option: \(\boldsymbol{(0, - 8)}\))
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translate quadrilateral adcb 5 units to the left and 2 units down. what…
\( A'(-1, -4), D'(-1, 1), C'(4, -2), B'(2, -5) \) (corresponding to the third option: \( A'(-1, -4), D'(-1, 1), C'(4, -2), B'(2, -5) \))
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what kind of translation has been made to triangle abc? (1 point) ○ tri…
D. Triangle \( ABC \) has been translated 3 units to the right and 7 units down. (Note: Assuming the last option is labeled D; if the original options have labels like A - D, with…
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for each angle relationship tell if it proves the lines l and m are par…
Does not prove lines are parallel ### For “Angles 2 and 6 are congruent”:
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translate triangle abc by 3 units to the left and 5 units down. which o…
\(A'(1,0), B'(-1, - 4), C'(4,-2)\) (the second option)
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which of these statements would prove that line segment eb is perpendic…
The correct statement is "Angle EBD is congruent to Angle FBE" (the third option, depending on the original labeling of checkboxes; typically, this corresponds to the option stati…
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a = (-5,4) b = (-1,4) if square abdc is translated 2 units to the left …
\((-3,0)\)
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determine how many units quadrilateral abcd has been shifted. (1 point)…
Quadrilateral \( ABCD \) has been shifted \(\boldsymbol{6}\) units to the left and \(\boldsymbol{4}\) units up.
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quiz: use a model or act it out question 6 of 6 read the problem below …
D. North
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parallelogram defg has been rotated. which statements are correct? chec…
- point F -- point F' - parallelogram DEFG -- parallelogram G'F'E'D' - Point D of the pre - image corresponds to point D' of the image. - \(\overline{ED}\) of the pre - image corr…
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which statement is true regarding the functions on the graph? $f(-3) = …
\( f(-3) = g(-4) \) (the first option with the blue circle, but as per the options, the correct statement is \( f(-3) = g(-4) \))
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consider the transformation shown. use the drop-down menus to complete …
The transformation is nonrigid because the segment lengths are not preserved.
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consider the transformation shown. use the drop-down menus to complete …
The transformation is nonrigid because the side lengths are scaled (the pre - image sides 6, 8, 10 are scaled by a factor of $\frac{1}{2}$ to get image sides 3, 4, 5, so the trans…
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consider the transformation shown. use the drop-down menus to complete …
The transformation is \(\boldsymbol{\text{a similarity transformation (or dilation)}}\) because the \(\boldsymbol{\text{angle measures (or shape)}}\) preserved. (Note: If the drop…
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question 6 of 6 read the problem below and find the solution. draw a di…
14
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secants (overline{rt}) and (overline{tv}) intersect at point (t). (over…
A. 2
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jayces chocolate milk comes in a box shaped like a rectangular prism. t…
275
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pre-image image which type of rigid transformation is shown? ○ reflecti…
rotation
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a rectangular blanket is 8 feet long and 6 feet wide. what is the area …
48
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direct quotes i want to use: 1. \well, it can easily be explained by sa…
The first quote and paraphrase A both use an analogy (sphere - form, circle - shape) to show the relationship between these geometric - related terms, helping to define how "spher…
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the pre-image, δstu, has undergone a type of transformation called a ri…
- $ST = VW$ - $SU = VX$ - $TU = WX$ - $m\angle SUT=m\angle VXW$ - $m\angle TSU = m\angle WVX$ - $m\angle UTS=m\angle XWV$
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find the length of the segment with given endpoints. q(3,9) and p(7,4)
\( \sqrt{41} \) (or approximately \( 6.403 \) if a decimal approximation is needed)
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bruno uses a piece of wrapping paper with dimensions ( 1\frac{1}{4} ) f…
\(3\frac{3}{4}\) square feet (the option: \(3\frac{3}{4}\) square feet)
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14) m is the midpoint of (overline{ab}). am = 4x - 13, mb = 2x + 3. sol…
\( x = 8 \) \( AB = 38 \)
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which angle in the shape is obtuse? ∠k ∠m ∠j ∠l
\(\angle K\)
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19) find m∠srq if m∠srd = 95°, m∠srq = 75x + 3, and m∠drq = 29x.
\( 153^\circ \)
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which graph shows a point at the origin?
The top - right graph (with the point at the intersection of the x - axis and y - axis, where both x and y are 0).
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g1.5 ws basic constructions for exercises 1–9, draw a diagram similar t…
### Problem 1: Construct $\overline{QR}$ congruent to $\overline{BC}$ #### Step 1: Draw a ray Draw a ray with endpoint $Q$. This will be the starting point for constructing the co…
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which of the following is not attributed to theodora? a. recognition of…
C. Keeping Justinian in Constantinople
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given: x ∥ y and w is a transversal prove: ∠3 ≅ ∠6 what is the missing …
transitive property
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a partial proof was constructed given that mnop is a parallelogram. by …
∠N ≅ ∠P (the fourth option: ∠N ≅ ∠P)
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for # 19-22 use the figure to the right to answer the following questio…
### Problem 19: Name a pair of vertical angles Vertical angles are formed by two intersecting lines and are opposite each other. From the figure (assuming two intersecting lines),…
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13) q is between p and r pq = 5x - 10 qr = 2x + 3 pr = 42 solve for x a…
\( x = 7 \), \( PQ = 25 \)
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what are the missing angle measures in parallelogram rstu? ○ ( mangle r…
\(m\angle R = 110^\circ\), \(m\angle T = 110^\circ\), \(m\angle U = 70^\circ\) (the second option: \(m\angle R = 110^\circ\), \(m\angle T = 110^\circ\), \(m\angle U = 70^\circ\))
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rectangles the formula ( p = 2ell + 2w ) represents the perimeter of a …
\(\ell=\frac{P - 2w}{2}\) (or \(\ell=\frac{P}{2}-w\))
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what are the missing angle measures in parallelogram rstu? ○ ( mangle r…
# Explanation: ## Step1: Recall properties of parallelograms In a parallelogram, opposite angles are equal, and consecutive angles are supplementary (sum to \(180^\circ\)). Given …
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what is the value of x? ○ x = 2.25 ○ x = 11.25 ○ x = 13 ○ x = 22 (2x + …
\(x = 11.25\) (corresponding to the option \(x = 11.25\))
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12) ac=24, ab=bc, and ac=cd. bc = ____ bd = ____
\( BC = 12 \), \( BD = 36 \)
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determining an unknown angle measure the measure of angle 1 is (3x + 10…
85
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what is the value of x? ○ x = 2.25 ○ x = 11.25 ○ x = 13 ○ x = 22 (8x + …
# Explanation: ## Step1: Identify angle relationships The sum of angles on a straight line is \(180^\circ\). Also, vertical angles and complementary/supplementary angles can be us…
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use the diagram at the right for questions #6-11. 6) what is m∠cod? 7) …
\( 90^\circ \) ### Question 7: Is \( \angle BOD \) an acute, obtuse, right or straight angle?
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given: ( w parallel x ) and ( y ) is a transversal. prove: ( angle 3 ) …
The first drop - down should be filled with "corresponding angles theorem".
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which term describes the figure that is formed by the following coordin…
a) trapezoid
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in the regular nonagon shown, what is the measure of angle x? 36° 40° 4…
\( 40^\circ \) (corresponding to the option "40°")
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preimage image scale factor = 1/8 lina’s work 24 x 32 = 768 768 x 1/8 =…
I disagree. Lina correctly found the area of the preimage but only applied the scale factor once.
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in parallelogram lmno, mp = 21 m, lp = (y + 3) m, np = (3y − 1) m, and …
\( x = 11 \) m, \( y = 2 \) m (the option: \( x = 11 \) m, \( y = 2 \) m)
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what is the measure of angle abd in trapezoid abcd? 24° 40° 64° 92° (wi…
40° (corresponding to the option "40°")
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preimage image scale factor = 4 kieran’s work 5 x 9 = 45 45 x 4 = 180 (…
I disagree. Kieran correctly found the area of the preimage but only applied the scale factor once.
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triangle abc is similar to triangle def. angle a measures 28°, and angl…
\(78\)
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which statements regarding the diagram of δebc are true? select three o…
- \(\boldsymbol{\angle DEC}\) is an exterior angle. - \(\boldsymbol{\angle ABE}\) and \(\boldsymbol{\angle EBC}\) are supplementary angles. - \(\boldsymbol{\angle BEC}\) is a remo…
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the perimeter of a square is 56 cm. what is the approximate length of i…
19.8 cm (corresponding to the option with 19.8 cm)
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preimage image scale factor = 3 72 ft ? a = 1,296 ft² given the area, w…
8 ft (Wait, there's a mistake. Wait, let's recalculate. Wait, the image has area 1296 and height 72. So first, find the base of the image. Area of rectangle is length * width. So …
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determining angle measures in the diagram, ( mangle 3 = 120^circ ) and …
The correct angle measures are \( m\angle1 = 60^\circ \), \( m\angle13 = 80^\circ \), \( m\angle5 = 60^\circ \), \( m\angle14 = 100^\circ \) (i.e., the options: \( m\angle1 = 60^\…
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a section of wall is being framed. a model of the framing work is shown…
They are same side interior angles. Angle A measures \(55^{\circ}\).
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what is the measure of ∠b? ○ 98° ○ 108° ○ 118° ○ 128° (diagram shows a …
108° (Option: 108°)
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in quadrilateral abdc, (overline{ab} parallel overline{cd}). which addi…
\(\boldsymbol{\overline{AB} \cong \overline{CD}}\) (the first option: \(\overline{AB} \cong \overline{CD}\))
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7. reflect over the x-axis
The reflected point of A is $(2,0)$ and the reflected point of B is $(-1, - 3)$. The reflected line segment connects $(2,0)$ and $(-1,-3)$.
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kite fgh k is shown. what is the value of m? (diagram: kite with vertic…
\( m = 3 \) (corresponding to the option "m=3")
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find the slope of each line. 1) 3) 5) 7)
\(-\frac{1}{3}\) ### Problem 3:
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name ______ period ______ date ______ use the diagram at the right for …
Yes ### Question 2:
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preimage image scale factor = 9 ? 135 in a = 14,580 in² given the area,…
15 in
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the perimeter of a rhombus is 28 centimeters. what is the length of eac…
7 cm (corresponding to the option "7 cm")
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which angle is an adjacent interior angle to ∠jkm? ∠jkl ∠mkl ∠klm ∠lmk
\( \boldsymbol{\angle MKL} \)
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direct quotes i want to use: 1. “let’s start with a simple object, a cu…
To paraphrase the given direct quotes, we can rephrase the ideas while maintaining the original meaning: ### For Quote 1: **Original**: "Let’s start with a simple object, a cube. …
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preimage image scale factor = 9 preimage: green square with side labele…
5 in
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name: matthew jelinski 2.07 classwork period: 1st 1. what are the range…
\( \{5, 8, 9.5\} \) (or \( \{5, 8, \frac{19}{2}\} \)) ### Problem 2 (Path of a Golf Ball - Domain)
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preimage image scale factor = 1/4 ? 5 cm a = 20 cm² given the area, wha…
16 cm
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type the number in the box. the measure of angle x is \\(\\boxed{}\\) °.
\(68\)
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preimage image scale factor = 3 4 in a = 32 in² ? given the area, what …
24 in
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proving alternate exterior angles congruent given: lines p and q are pa…
A: Angle 2 is congruent to angle 3 B: Angle 3 is congruent to angle 7
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4 from unit 1, lesson 2 this diagram was created by starting with point…
B. Construct a circle centered at \( C \), C. Construct a circle centered at \( D \), D. Label the intersection points of the circles \( A \) and \( B \), E. Draw a line through p…
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preimage image scale factor = 5 4 12 what is the area of the image? 1,5…
\( 1200 \, \text{u}^2 \) (corresponding to the option "1,200 u²")
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a school hires an artist to create a mural. the artist draws a model of…
The school pays the artist \(\$960\).
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preimage image scale factor = 1/5 15 10 before you continue, we recomme…
\( 6 \, \text{u}^2 \) (corresponding to the first option: \( 6 \, \text{u}^2 \))