幾何
三角形、円、座標幾何、証明問題。
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one vertex of a polygon is located at (3, -2). after a rotation, the ve…
\(R_{0,90^\circ}\), \(R_{0,-270^\circ}\)
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what is the value of x? 20 units 15 units 25 units 12 units
12 units
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trapezoid ghjk was rotated 180° about the origin to determine the locat…
C. (3, 2)
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triangle rst was dilated by a scale factor of \\(\\frac{1}{2}\\). the i…
16 units
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ilarity transformations which value of y would make \\(\\overline{op} \…
36
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which value of ( x ) would make ( overline{tv} parallel overline{qs} )?…
10
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read the proof. given: \\(\\overline{ab} \\parallel \\overline{de}\\) p…
AA similarity theorem.
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imilarity transformations $overline{wy}$ is an altitude in triangle $wx…
\(\angle XWZ\) is a right angle.
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what is the value of y? 6√3 units 12√3 units 3√3 units 9√3 units
\( 6\sqrt{3} \) units
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is rectangle efgh the result of a dilation of rectangle abcd with a cen…
Yes, because corresponding sides are parallel and have lengths in the ratio $\frac{4}{3}$ (the option with this explanation).
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similarity transformations qr, rs, and sq are midsegments of △wxy. qr =…
14.50 cm
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which angle is adjacent to $\\angle 3$? $\\angle 6$ $\\angle 1$ $\\angl…
∠2
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is triangle abc a dilation of triangle abc? explain. yes, it is an enla…
No, it is not a dilation because the points of the image are not moved away from the center of dilation proportionally.
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check up circle the adjective that correctly completes the sentence. 1.…
A. biggest ### Question 2
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many adjectives that tell what kind are changed to adverbs that tell ho…
brighter ### Question 2
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finding angles in transversal problems (level 1 question examples given…
$51$
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for the given equation, list the intercepts and test for symmetry. $x^{…
### Intercepts: A. The intercept(s) is/are $(-4, 0), (4, 0), (0, -1), (0, 1)$ ### Symmetry: The graph is symmetric about the x-axis, y-axis, and the origin.
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given ( m parallel n ), find the value of x.
\(73\)
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secondary math ii // module 5 geometric figures - 5.9 set topic: writin…
### Problem 8: Prove that \(\overline{CD}\) is an altitude of \(\triangle ABC\) (2 - column proof) #### Step 1: Identify Given Information From the diagram, we can assume the foll…
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x - 2y ≥ 6 determine the following: slope, y - intercept, solid/dashed,…
- $\boldsymbol{m=1/2}$ - $\boldsymbol{b=-3}$ - $\boldsymbol{SOLID}$ - $\boldsymbol{SHADE BELOW}$
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pick all of the pentagons.
- Orange 5-sided shape - Purple 5-sided shape - Blue 5-sided shape
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solve for x
\( 40 \)
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solve & discuss it! matt and his dad are building a tree house. they bu…
All positive real number pairs $(l, \frac{36}{l})$ where $l$ is the length (in feet) and $\frac{36}{l}$ is the width (in feet). The integer dimension pairs are: 1. 1 foot by 36 fe…
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the rectangle is made of unit squares. what is the area of the rectangl…
12 square units
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complete each proportion. ab / bm = ? / cd
\( AC \)
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review the picture. find the missing side measurement in the picture us…
\(x = 25\space m\)
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read the following excerpt from aly raisman. then, drag the properly pa…
## Properly Paraphrased (Green Circle): - The author was fascinated by how thrilled the fans were as the Olympic gymnasts walked in to compete. - The spectators for the Olympic fi…
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rectangle hjkl is rotated 180° clockwise about the origin to form recta…
A. Rectangle \(HJKL\) is congruent to rectangle \(H'J'K'L'\).
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a figure on the coordinate plane is transformed to create a new figure.…
B. Dilation with scale factor of 2, F. Dilation with scale factor of 0.75
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9. question which of the following statements is not true about modern …
Always enter the roundabout to the left and proceed on the left side of the central island (circle).
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9) practice: asking questions fill in the blanks. how to tell if two li…
transversal
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explain how to use patterns to show that the expression ((b^5)^3) is eq…
By the definition of an exponent, $(b^5)^3$ can be written as the product of $\boldsymbol{3}$ factors of $\boldsymbol{b^5}$. The latter of these can be written as the product of $…
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a rectangle undergoes a single transformation. for each rule, indicate …
A. Translation
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find the length of each side of the triangle determined by the three po…
$d(P_1,P_2)=2\sqrt{37}$ $d(P_1,P_3)=\sqrt{74}$ $d(P_2,P_3)=\sqrt{74}$ The triangle is both isosceles and a right triangle.
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find the distance d (p₁,p₂) between the points p₁ and p₂. p₁ = (k,t) p₂…
$\sqrt{k^2+t^2}$
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rectangle hjkl is rotated 90° clockwise about the origin to form rectan…
C. Rectangle HJKL is congruent to rectangle \(H'J'K'L'\).
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a major league baseball \diamond\ is actually a square, 90 feet on a si…
127.28
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(x,y) --> (x type your answer..., y type your answer...)
\( x - 6 \), \( y + 4 \)
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5) practice: summarizing and using visual cues in 15 words or less, def…
1. Definition: A line crossing two coplanar lines. 2. Labeled diagram: The line intersecting points A and C is the transversal.
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10. what is the circumference of the circle shown? 5 m
The circumference of the circle is \( 10\pi \, \text{m} \) (or approximately \( 31.4 \, \text{m} \)).
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exit ticket (2.6): slope from 2 points c 1. find the slope of the two p…
\( \frac{2}{5} \)
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the midpoint of the line segment from $p_1$ to $p_2$ is $(-2,9)$. if $p…
$(-1, 9)$
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3. how far from the base of the house do you need to place a 15 - foot …
9 feet
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4) practice: making mental images complete the diagram to show the rule…
A completed diagram with: 1. Line $\overleftrightarrow{AB}$ (already provided) 2. Point $P$ not on $\overleftrightarrow{AB}$ (already provided) 3. A single line passing through $P…
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9. nora is making a circular garden with a diameter of 12 feet. what is…
The circumference of the garden is \( 37.68 \) feet (or \( 12\pi \) feet if we leave it in terms of \( \pi \)).
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a rectangle undergoes a single transformation. for each rule, indicate …
Rotation
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plot each point and form the right triangle abc. verify that the triang…
Correct graph: D. The sum of the squares of the lengths of the legs of the triangle is $58$. The square of the length of the hypotenuse of the triangle is $58$. Area of triangle A…
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if the point (1,8) is shifted 5 units to the right and 4 units down, wh…
$(6, 4)$
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if 3 and 4 are the legs of a right triangle, the hypotenuse is ______. …
5
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question 9 what is an alternative method to determine the function rule…
A. Using the endpoints and slope formula
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3) practice: summarizing use notation and marks to summarize the line r…
$\overleftrightarrow{AB} \parallel \overleftrightarrow{CD}$
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2) practice: organizing information fill in the blanks to complete the …
Skew Lines: Lie in different **planes** Both: Never **intersect** Parallel Lines: Lie in the same **plane**
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rotation of 180 clockwise translation 4 units down reflection over x - …
translation 4 units down
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ready, set, go! name period date ready topic: are you ready for a test …
By the transformations (rotation and translation) that form Figure 3, the angles \(\angle BAC\) and \(\angle ABC\) correspond to angles that, when combined, equal \(\angle BCC'\).…
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1) practice: summarizing in 10 words or less, define each pair of lines…
skew lines: Non-intersecting, non-coplanar lines. parallel lines: Coplanar, never-intersecting lines.
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2. a soccer field is a rectangle 100 meters wide and 130 meters long. t…
The diagonal distance is $\boldsymbol{10\sqrt{269}}$ meters, or approximately 164 meters.
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how is the slope of the yellow segment calculated? by using the distanc…
B. By using the slope formula with two points
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write the coordinates of the vertices after a reflection over the line …
- \( J'(10, 10) \) - \( K'(7, 10) \) - \( L'(7, 0) \) - \( M'(10, 0) \)
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a rectangle undergoes a single transformation. for each type of transfo…
C. Dilation by scale factor of 5, D. Dilation by scale factor of 0.25
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y < -\\frac{2}{3}x - 2
To graph \( y<-\frac{2}{3}x - 2 \): 1. Draw the boundary line \( y = -\frac{2}{3}x - 2 \) (it should be a dashed line for \( < \), but in the given graph, if it's a solid line, it…
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triangle abc is reflected over the y - axis to form triangle abc. which…
All the above.
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ready topic: are you ready for a test on module 5? figure 1 has been ro…
The sum of the angles in a triangle is \( 180^\circ \) because the three interior angles of the triangle ( \( \angle BAC \), \( \angle ABC \), and \( \angle ACB \)) form a straigh…
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multiple choice 1 point triangle abc is reflected over the y - axis to …
D. All the above. (Note: Assuming the options are labeled as A, B, C, D with D being "All the above" as per the last option in the question)
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what is the domain of the green segment? x > -4 and x <= -2 x >= -2 and…
The correct option is the green - colored one: \(x > - 2\) and \(x\leq1\) (the option with text "x > -2 and x <= 1" in the green button).
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write the coordinates of the vertices after a reflection over the line …
\( F(6, 0) \) \( G(9, 0) \) \( H(7, - 10) \) Wait, wait, I think I made a mistake in the original \( G \) coordinate. Let's re - check the graph. The \( y \)-axis: \( F \) is at \…
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a rectangle undergoes a single transformation. for each rule, indicate …
Reflection
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how is the slope of the blue segment determined? using the midpoint for…
Orange. By calculating the change in y over the change in x
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write the coordinates of the vertices after a reflection over the line …
\(D'(-10, 8)\) \(E'(-10, 10)\) \(F'(0, 10)\) \(G'(0, 8)\)
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y ≤ -3x - 1
To graph \( y \leq -3x - 1 \): 1. Draw the solid line \( y = -3x - 1 \) (passing through \( (0, -1) \) and other points like \( (1, -4) \) or \( (-1, 2) \)). 2. Shade the region b…
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if the radius of a circle is 10 cm, what is its circumference?
The circumference of the circle is \( 20\pi\space\text{cm} \) (or approximately \( 62.8\space\text{cm} \)).
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drag the points to create a graph that satisfies the following requirem…
A valid graph will have all its points within the $x$-interval $[-4, 2]$ and $y$-interval $[0, 4]$, with at least one point at $x=-4$, one at $x=2$, one at $y=0$, and one at $y=4$…
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write the coordinates of the vertices after a reflection over the line …
\( U(1, - 5) \) \( V(3, - 5) \) \( W(5, - 2) \)
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solve: |2x + 5| < 9. state the solution set as an interval and graph th…
A. The solution set as an interval is: \((-7, 2)\) For part B (graphing), we would draw an open circle at \(-7\) and an open circle at \(2\) on the number line, then shade the reg…
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which of the following is true for the following transformation. (x,y)-…
The area is the same. The side lengths are congruent. The angle measures are congruent.
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write the coordinates of the vertices after a reflection over the line …
\( R(-6,2) \), \( U(0,3) \), \( V(-8,5) \)
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write the coordinates of the vertices after a reflection over the line …
\( D'(-4, 9) \), \( E'(-4, 6) \), \( F'(0, 6) \), \( G'(0, 9) \)
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drag the points to create a graph that satisfies the following requirem…
Create a graph with points such as $(1, 2)$, $(2, 4.5)$, and $(3, 7)$ (or any continuous curve where $x$ spans from 1 to 3 and $y$ spans from 2 to 7, with the leftmost $x$-value 1…
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east amount of power towards the top and who you think has the mos u th…
- **Top Triangle (Most Power):** Slim, Curley - **Middle Diamond (Moderate Power):** George, Carlson, Curley's Wife - **Bottom Diamond (Least Power):** Lennie, Candy, Crooks
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write the coordinates of the vertices after a reflection over the line …
\( R'(-5, 1) \), \( S'(0, 1) \), \( T'(-6, -4) \)
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7 find the value of x.
$70$
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write the coordinates of the vertices after a reflection over the x - a…
\( P'(-7, 4) \) \( Q'(-7, 1) \) \( R'(-2, 1) \) \( S'(-2, 4) \)
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2. circle more tens. 2 tens 13 ones ______ tens ______ ones ______ total
3 tens 3 ones 33 total
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the point ( p(5, -2) ) is reflected over the line ( y = -x ). what are …
The coordinates of the resulting point \( P' \) are \( (2, - 5) \)
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if the diameter of a circle is 16 in, what is its circumference?
The circumference is \( 16\pi \) inches (or approximately \( 50.24 \) inches).
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module 4 : les prismes et les cylindres 15. l’aire totale de ce prisme …
1. The measure of the height $h$ is 26 cm 2. The volume of the prism is 1404 $\text{cm}^3$
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π is approximately 3.14 if the circumference of a circle is 15.7 cm, wh…
The diameter of the circle is \( 5 \) cm.
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18 use the diagram to answer the question below. if \\( \\overline{rt} …
\( x = 14 \)
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18 use the diagram to answer the question below. if ( overline{rt} = 16…
\( \frac{5}{6} \)
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choose the inequality that the solution shown on the graph. options: ( …
C. \( m > -5\frac{1}{2} \)
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calculate the area of $\\triangle opq$ if $a = 19.9$, $b = 18.7$, and $…
280.5 square units
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determine if triangle uvw and triangle xyz are or are not similar, and,…
The triangles are similar. We know this because the ratios of their corresponding sides are equal ($\frac{14}{56}=\frac{14}{56}=\frac{18}{72}=\frac{1}{4}$), satisfying the SSS sim…
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if the circumference of a circle is 18.84 in, what is its radius?
The radius of the circle is 3 inches.
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use the drop - down menus to identify the values of the parabola. verte…
Vertex = (0, 3) Domain = {x | x is a real number} (or \( \{x | -\infty < x < \infty\} \)) Range = {y | y ≤ 3} Wait, but maybe the vertex is (0, 3). Let's confirm with the graph. T…
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5. klmn ~ pqrs; find x
\( x = 7 \)
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1. if the circumference of a circle is 15.7 cm, what is its diameter?
The diameter of the circle is \( 5\space\text{cm} \).
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step 1: choose the vertices of a pre - image: (1, 2), (1, 4), (2, 3). s…
Kwame's explanation and solution are incorrect. He reflected the pre-image at step 3, rather than the figure from step 2.
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11 use the diagram to answer the question below. jm = 3x + 15 and mk = …
60
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if rm = 12, lr = 9, and mq = 16, find tq. image not set to scale. none …
6.86
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10 use the diagram to answer the question below. suppose ( xm = 23x + -…
\( 168 \)
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let $ab = 8$, $bd = 4$, and $ac = 10$. calculate $dc$. image not set to…
5