幾何
三角形、圓、解析幾何與證明題。
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what additional information could be used to prove that the triangles a…
∠A ≅ ∠T and AC = TQ = 3.2 cm, ∠A ≅ ∠T and BC ≅ PQ, ∠B ≅ ∠P and CB = QP = 2.2 cm
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answer a rotation 90° counterclockwise about the origin a rotation 90° …
A reflection over the $y$-axis
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answer a translation 3 units left and 2 units up a translation 2 units …
A translation 3 units left and 2 units up
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find the area: 8 yd 9 yd 11 yd 57 square yards 114 square yards 88 squa…
57 square yards
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find the area: 22 yd 11 yd 5 yd 214.5 square yards 242 square yards 121…
214.5 square yards
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question figure b is the result of a transformation on figure a. which …
A 90 - degree counter - clockwise rotation around the origin.
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find the area of the shaded region. 625 square feet 130 square feet 495…
495 square feet
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which statements are true about additional information for proving that…
If $\overline{BC} \cong \overline{PQ}$, then the triangles would be congruent by ASA., If $\angle B \cong \angle P$, then the triangles would be congruent by AAS.
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find the area of this figure 4 cm 5 cm 9 cm 36 square cm 32.5 square cm…
32.5 square cm
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3 multiple answer 1 point which of these rectangles has the same area a…
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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if cb bisects ∠acd, what additional information could be used to prove …
△ACD is isosceles with base AD
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a sail on a boat is shaped like a triangle as shown. what is the area o…
$7.4$ $m^{2}$
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the proof that △mns≅△qns is shown. select the answer that best complete…
MS and QS
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the proof that △efg≅△jhg is shown. given: g is the midpoint of hf, ef∥h…
∠GFE ≅ ∠GHJ
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triangles rqs and ntv have the following characteristics: right angles …
No, it is necessary to know that another set of corresponding sides is congruent.
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in the diagram, ∠q≅∠x. what additional information is needed to prove △…
y, z
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lin and her brother each created a scale drawing of their backyard, but…
Lin's scale: 1:12; Her brother's scale: 1:36
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the graph shows pentagons mnopq and mnopq. which sequence of transforma…
A translation 12 units left followed by a 90 - degree counter - clockwise rotation about the origin.
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the proof that △acb≅△ecd is shown. given: ae and db bisect each other a…
$\angle ACB \cong \angle ECD$
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the graph shows rhombuses abcd and abcd. which sequence of transformati…
a rotation 90° clockwise around the origin followed by a translation left 12 units
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find the equation of the circle shown. write equation in center - radiu…
$x^{2}+y^{2}=9$
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the graph shows triangles abc and abc. which sequence of transformation…
a rotation 90° clockwise around the origin followed by a translation up 2 units
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given: $overline{ab}congoverline{bc}$, $overline{db}$ bisects $angle ab…
2. ∠5 3. t
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graph the function $f(x)=\\begin{cases}-2x - 2&\\text{for }x\\leq - 1\\…
Graph the line $y=-2x - 2$ with a closed - circle at $(-1,0)$ for $x\leq - 1$ and the line $y = 3x+1$ with an open - circle at $(-1,-2)$ for $x>-1$.
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is △wxz≅△yzx? why or why not? yes, they are both right triangles. no, t…
Yes, they are congruent by SAS.
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a machine part consists of a half - sphere and a cylinder, as shown in …
$126\pi$
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a three dimensional figure is cut by a plane parallel to its base, resu…
For the first question: A. Cube, D. Square prism For the second question: Parallel to the base - Triangle, Perpendicular to the base - Rectangle For the third question: B. Triangu…
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select the correct answer. firewood can be sold in cords. the wood is c…
D. rectangular prism
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2. what song was made out of the poem defence of fort mhenry? seven son…
D. The Star Spangled Banner
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4 matching 2 points what happens when a rectangular prism is cut this w…
4. Parallel to the base - Rectangle; Perpendicular to the base - Rectangle 5. PERPENDICULAR - vertical; PARALLEL - horizontal
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if vx = wz = 40 cm and m∠vzx = m∠xwz = 22°, can △vzx and △wxz be proven…
No, there is not enough information given.
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list the side lengths of △abc in order from shortest to longest.
$AB<AC<BC$
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find the largest angle of △pqr. assume that v is a positive number.
\(\angle Q\)
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given the 3d shape below, which of the following 2d shapes would result…
Sliced perpendicular to base: TRIANGLE Sliced vertically to base: RECTANGLE Sliced parallel to base: HEXAGON
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barry wants to host an event at a hotel that has four conference rooms.…
The semi - circle room.
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list the side lengths of △xyz in order from shortest to longest.
$XY<YZ<XZ$
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1 matching 2 points what happens when a square prism is cut this way? p…
1. Parallel to the base: Square Perpendicular to the base: Rectangle 2. Parallel to the base: Circle Perpendicular to the base: Rectangle
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9. is triangle wxy congruent to triangle jkl? if so, what transformatio…
We need to calculate side - lengths using the distance formula to confirm congruence. If congruent, transformation can be found by observing position and orientation. Without spec…
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part b. draw the figure and its reflection in the line x = 1.
You need to use a graphing tool to perform the above - mentioned steps of finding the reflected points and drawing the figure and its reflection. For example, if you have a point …
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question 5 of 5 type the correct answer in the box. use numerals instea…
10
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124° a. 23° b. 55° c. 29°
C. $29^{\circ}$
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four sections of forest are described in the table with the number of t…
A, C, D, B
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use the graph below to answer the questions the slope of the line is 0 …
undefined
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if m∠3 + m∠4 = 180, which lines can you conclude are parallel? explain.…
C. Lines $\ell$ and $m$ are parallel because same - side interior angles are supplementary.
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if ∠1 = ∠2, can you conclude that any of the lines are parallel? explai…
C. Yes; lines $\ell$ and $m$ are parallel because corresponding angles are congruent.
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which statement must be true to prove j || k? a. ∠2 = ∠3 b. ∠1 = ∠4 c. …
C. \(m\angle2 + m\angle5 = 180\)
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1. use the diagram to answer parts (a - e). a. is scale drawing a an en…
a. Reduction b. $\frac{1}{2}$ c. Enlargement d. $2$ e. $b = 4a$
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if m∠1 = m∠2, which of the following statements is true? a. k||j b. n||…
B. $n\parallel m$
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determine if the conclusion follows logically from the premises. premis…
Valid argument
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given: △dfe is isosceles with base fe; fb≅ec. prove: △dfb≅△dec. complet…
△DFB ≅ △DEC
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question 2 of 5. a company makes different sized shoeboxes in the shape…
$10$ in $\times6$ in $\times6$ in box - $312$ in$^2$ $16$ in $\times6$ in $\times4$ in box - $368$ in$^2$ $12$ in $\times5$ in $\times6$ in box - $324$ in$^2$ $14$ in $\times5$ in…
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select all the true statements. a. p || q because ∠2 = ∠3. b. p || q be…
D. $r\parallel s$ because $\angle5=\angle6$.
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given: rt || sp, rq ≅ qp, rp bisects st at q. prove: △rqt ≅ △pqs. tamir…
vertical angles theorem
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these two triangles are scaled copies of one another. the area of the s…
36 square units
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the equation of the line is:
\(y = 2x+2\)
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2. in the following pair of images, △jkl is a scale drawing of △abc. a.…
a. 3 b. $d = 3f$ c. 9
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in the given figure, which lines are parallel? justify your answer. det…
A. By the Converse of the Corresponding Angles Theorem
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given: c is the mid - point of bd. prove: △acb≅△acd. complete the two -…
♣: definition of midpoint, ♦: $\angle BCA \cong \angle DCA$
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for exercise 10, answer the question. 10. error analysis a student expl…
The student is correct. The order of transformations (rotation about y - axis followed by 180° rotation about origin) will result in a different image than just reflecting the tri…
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5. the picture frame below was 8 inches by 10 inches and was dilated by…
12 inches by 15 inches
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4. which of the following figures does not have rotational symmetry?
The yellow triangle (the second figure)
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determining if triangles are congruent. can △tsr and △qrs be proven con…
no, because not enough information given to prove the triangles congruent by SAS
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3. which two types of transformations produce the equivalent result as …
C. reflection and rotation
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2. in the following pair of images, △jkl is a scale drawing of △abc. a.…
a. The scale factor is 3. b. The equation is $d = 3f$. c. The length of $\overline{JL}$ is 9.
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determine the pairs of parallel lines. choose the correct answer below.…
A. $\overleftrightarrow{GM}\parallel\overleftrightarrow{HC}$ by the Converse of the Same - Side Interior Angles Theorem
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2. which of the following figures does not have reflectional symmetry?
The first figure (the non - isosceles trapezoid).
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determine the equation of each line in the 4 graphs below. make sure to…
$x=-2$
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1. which of the following figures does not have reflectional symmetry?
The figure that does not have reflectional symmetry is the triangle (the fourth figure).
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1. en una recta se ubican los puntos consecutivos a, b y c tal que ab =…
1. **Explicación Paso - a - paso para la pregunta 1**: - **Step1: Identificar la relación entre los segmentos** - Sabemos que en una recta con puntos consecutivos \(A\), \(B\) y \…
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in the given figure, which lines are parallel? justify your answer. det…
No figure is provided to determine the correct answer from the multiple - choice options. Please provide the figure for a proper response.
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reflect how can you explain how two objects can be alike but not congru…
Two objects can be alike but not congruent when they have the same shape but different sizes. For instance, two circles with different radii or two similar triangles with a non - …
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the frame of a bridge is constructed of triangles as shown. what additi…
B. UV = 14 ft and m∠TUV = 45°, D. m∠STU = 37° and m∠VTU = 37°
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the height of the cone in figure 2 is centimeters. figure 1 is similar …
4.5
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assume that the flask shown in the diagram can be modeled as a combinat…
8 times
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which statement must always be true? choose the correct answer below. a…
A. If $\angle2\cong\angle4$, then $j\parallel k$.
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consider △wxy and △bcd with ∠x≅∠c, wx¯≅bc¯, and wy¯≅bd¯. can it be conc…
No, because the given congruent angle is not the included angle between the two congruent sides, so SAS congruence cannot be concluded.
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qusai made a scaled copy of the following trapezoid. he used a scale fa…
A. 0.75 units (assuming the original longer - base is long enough and the scale factor is appropriate), other possible answers could be values less than the length of the original…
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assume that the flask shown in the diagram can be modeled as a combinat…
8
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4. choose one side that corresponds to side ab in triangle abc. *corres…
DE
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8. is qrst congruent to klmn? if so, what transformation(s) map qrst on…
No, they are not congruent. They have different side - lengths and angles.
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circle m dilated by a scale factor of 3 gives circle n. if the circumfe…
$2$ cm
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1 what is the measure of ∠b? a 56° b 73° c 34° d 146°
B. $73^{\circ}$
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select the correct answer. sean has a rectangular painting with an area…
C. 20 inches and 16 inches
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5. a point a (x, y) is translated 10 units to the right and 3 units dow…
$(x + 10,y - 3)$
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4. what is the magnitude and direction of the $overrightarrow{pq}$ with…
8.9 units, 26.6° north of east
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qusai made a scaled copy of the following trapezoid. he used a scale fa…
We need the options to choose 3 answers. But conceptually, any length that is less than the length of the longer base of the original trapezoid could be a correct answer.
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3. a point a (x, y) is translated 6 units to the right and 4 units down…
$(x + 6,y - 4)$
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triangles are similar. if similar, state how (aa~, sss~, similarity sta…
The triangles are not similar.
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assume these hexagons are similar. which changes will result in a pair …
adding 3 to each side length in GHIJKL; doubling each side length in ABCDEF; reducing each side length in GHIJKL by one - third; adding 15 degrees to angles G, H, I and subtractin…
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in order for c||d, how must ∠2 and ∠7 be related? how must ∠3 and ∠5 be…
$\angle2$ and $\angle7$ must be congruent; $\angle3$ and $\angle5$ must be supplementary.
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1. describe the vector that translates jkl to jkl. (-5,-1) (1,5) (5,1) …
(5, 1)
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2. an airplane flies in the path shown by the vector $overrightarrow{cd…
$53^{\circ}$ east of south for 5 miles
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find the value of x for which m || n. the value of x for which m || n is
51
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directions determine whether the triangles are similar (aa, sss, or sas…
The triangles are similar. The similarity statement is $\triangle EFG\sim\triangle RTS$.
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4. how many lines of symmetry does the following figure have?
3
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the empire state building in new york city is about 1,450 feet high (in…
e. 1 centimeter to 50 meters
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2. what is the angle of rotation for the following figure? 72° 90° 60° …
$72^{\circ}$
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the empire state building in new york city is about 1,450 feet high (in…
e. 1 centimeter to 50 meters
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shape a shape b which slider creates scale copies of the shape? choose …
B. Slider for Shape B
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drag the sliders. shape a shape b which slider creates scale copies of …
There is not enough information provided to determine if either Slider for Shape A or Slider for Shape B creates scale - copies.