Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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the side lengths of a triangle are 7, 11, and 16. what kind of triangle…
obtuse
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what is the value of x in the right triangle shown below? 13 feet 5 fee…
12 feet
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multiple choice 4 points given $\\triangle abc$ with $a = 9$, $b = 10$,…
12 feet
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multiple choice 4 points given $\\triangle abc$ with $a = 9$, $b = 10$,…
both an acute triangle and an obtuse triangle
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5. what is the area of the shaded region? round to the nearest tenth of…
\( \boxed{173.2} \) (rounded to nearest tenth) ### Question 6
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3. the bases of an isosceles trapezoid measure 4 inches and 8 inches. t…
\boxed{27.5} (If we follow the correct calculation, but if the initial answer was 15, maybe there was a mistake in the problem or my approach. But based on the given perimeter of …
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in the graph below, $\\triangle rst$ is the image of $\\triangle rst$ a…
# Explanation: ## Step1: Find coordinates of points First, identify coordinates of corresponding points. Let's take \( S(-3,5) \) and \( S'(1,6) \)? Wait, no, better to find cente…
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1. what is the area of the parallelogram? enter your answer in square c…
\( 12\sqrt{10} \) ### Question 2
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7 the shape below is made up of two trapezoids. what is the area of the…
The area of the shape is \(\boldsymbol{54}\) square feet.
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in the graph below, pentagon lmnop is the image of lmnop after a dilati…
# Explanation: ## Step1: Find coordinates of corresponding points First, we identify the coordinates of a point and its image. Let's take point \( M(-2, 5) \) and its image \( M'(…
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5) which measurements could represent the side lengths in feet of a rig…
s: Question 4: B)2.5 Question 5: A)10, 24, 26 Question 6: C)12.4 feet Question 7: Slope \(=-\frac{1}{3}\), \(y\) - intercept \( = 1\) (assuming the options, the hand - written cho…
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write the coordinates of the vertices after a rotation 90° counterclock…
# Explanation: ## Step1: Identify original coordinates First, find the coordinates of \( D \), \( E \), \( F \), \( G \) from the graph: - \( D(-4, 1) \) (Wait, no, looking at the…
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3. the tub in paige’s bathroom covers the tile floor as shown below. ho…
72
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10.) find the area of a trapezoid with base lengths of 12in. and 18in. …
The area of the trapezoid is \( 105 \) square inches. ### Question 11
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Question was provided via image upload.
4. $\angle W$ 5. $\overline{FG}$ 6. $\overline{EG}$ 7. $\angle S$ 8. $32$ 9. $4.25$ 10. Yes, congruent by SSS (Side-Side-Side) 11. No, cannot prove congruence with given marks
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parts of circles dictionary term | definition | example or visual circl…
A segment with endpoints at the center and on the circle
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in the diagram below, \\(\\overline{de} \\cong \\overline{ae}\\), \\(\\…
$121.5^\circ$
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in the diagram below, \\(\\overline{de} \\cong \\overline{df}\\), \\(\\…
$\boldsymbol{130^\circ}$
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15. state what information is needed in order to make the given congrue…
15. $DC \cong XW$ (the other pair of included sides for SAS) 16. $\angle EGF \cong \angle TFG$ (second pair of corresponding angles for AAS, alongside $\angle EFG \cong \angle TGF…
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if the rectangle shown at right was translated to form a rectangle with…
The rectangle was translated 4 units to the right and 4 units down.
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a rectangular prism and its net are shown below. (all lengths are in ya…
(a) $A = 8$ yd $B = 11$ yd $C = 8$ yd $D = 11$ yd (b) $480$ yd$^2$
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the perimeter of triangle xyz is 24 units. what is the area of triangle…
14.7 square units (Option: 14.7 square units)
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the figure below shows a hollow box in the shape of a rectangular prism…
(a) Surface area: $376$ ft² Volume: $280$ ft³ (b) Surface area (c) Surface area
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lian is making a banner for the school gym. she cut three pieces of fab…
417 square inches
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lila made a triangular flag to cheer on her favorite sports team. the p…
15 square inches
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#11 find the perimeter of the triangle to nearest tenth. show all equat…
The perimeter of the triangle to the nearest tenth is \(\boldsymbol{11.2}\) feet.
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what is the area of triangle abc? round to the nearest tenth of a squar…
61.8 square units
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the diagram shows concentric circles with center h. which is ( moverarc…
\( 51^\circ \) (corresponding to the option with 51°)
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the area of triangle efg is 34.8 square units. what is the perimeter of…
29 units
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what is the area of triangle abc? round to the nearest hundredth of a s…
81.33 square units
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an equilateral triangle has a semiperimeter of 6 meters. what is the ar…
7 square meters
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triangle lmn has sides measuring 7 meters and 6 meters and a perimeter …
9 square meters
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the area of parallelogram wxyz is approximately 45 square units. trigon…
30 units (corresponding to the option "30 units")
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8) x = rats is a parallelogram. ( mangle s = (8x)^circ ) and ( mangle t…
\(x = 12\) \(m\angle R = 96^\circ\) \(m\angle A = 84^\circ\) ### Problem 9
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8. state what information is needed in order to make the given sss cong…
1. Problem 8: $\overline{IK} \cong \overline{EG}$ 2. Problem 9: $\overline{BC} \cong \overline{HI}$ (or $\overline{AC} \cong \overline{GI}$) 3. Problem 10: $\overline{MK} \cong \o…
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marta is making a flag with the given dimensions. the perimeter of the …
(Part 1): 360 ### Part 2: Find the cost of the material
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a. reflect the shape across the y - axis. b. record the coordinates of …
### Completed Table: | Preimage | Image | |----------|-------| | $A(4, -6)$ | $A'(-4, -6)$ | | $B(7, -4)$ | $B'(-7, -4)$ | | $C(4, -2)$ | $C'(-4, -2)$ | | $D(1, -4)$ | $D'(-1, -4)…
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which angle number represents the linear pair of $\\angle sxt$? answer …
2
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which angle number represents an angle vertical to $\\angle psl$?
$\angle 6$
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10. describe a sequence of transformations that shows that quadrilatera…
One possible sequence of transformations is: First, dilate quadrilateral \( VXYZ \) with a scale factor of \( 2 \) centered at the origin. Then, translate the resulting quadrilate…
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find the values indicated. 6) y = lm = no = if lmno is a parallelogram,…
\( y = 7 \) \( LM = 5 \) \( NO = 5 \) ### Problem 7:
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find vx. write your answer as an integer or as a decimal rounded to the…
$VX = 4.0$
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find wx. write your answer as an integer or as a decimal rounded to the…
3.8
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find uv. write your answer as an integer or as a decimal rounded to the…
$UV = 7.5$
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advanced transformations review if the rectangle shown at right was tra…
# Explanation: ## Step1: Find original coordinates First, identify the original vertices of rectangle JKLM. From the grid, let's assume (estimating from the graph): Let's take poi…
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find pq. write your answer as an integer or as a decimal rounded to the…
$9.3$
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reflections on a coordinate plane a. reflect the shape across the y - a…
### Completed Table: | Preimage | Image | |----------|-------| | $A(4,1)$ | $A'(-4,1)$ | | $B(6,1)$ | $B'(-6,1)$ | | $C(6,4)$ | $C'(-6,4)$ | | $D(4,5)$ | $D'(-4,5)$ | ### Reflecti…
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find cd. write your answer as an integer or as a decimal rounded to the…
$6.0$
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4. x = pr = ts = if sq=11x-26 & pr=5x+28, find pr and ts. show your wor…
\( x = 9 \) \( PR = 73 \) \( TS = 36.5 \) (or \( \frac{73}{2} \))
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in exercises 3 and 4, find the values of x and y. 3. ( \triangle xyz co…
s: - Problem 3: $x = \boldsymbol{25}$, $y = \boldsymbol{2}$ - Problem 4: $x = \boldsymbol{6}$, $y = \boldsymbol{10}$ (assuming angle congruence as above)
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find st. write your answer as an integer or as a decimal rounded to the…
$3.0$
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11) state the domain and range for each line segment a) d: r: b) d: r: …
D: \(0\leq x\leq5\) (or \([0,5]\)) R: \(0\leq y\leq2\) (or \([0,2]\)) B)
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which graph shows line symmetry about the y-axis?
The graph of \( g(x) \) (the third graph) shows line symmetry about the \( y \)-axis.
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amy wanted to study how the area of a rectangle changes with the length…
domain: $x \geq 0$ range: $y \geq 0$
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determine whether a triangle with the given side lengths is a right tri…
(a) Right triangle (b) Not a right triangle (c) Not a right triangle (d) Not a right triangle
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determine whether a triangle with the given side lengths is a right tri…
(a) Right triangle (b) Not a right triangle (c) Right triangle (d) Not a right triangle
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in the figure below, ( l parallel m ). find ( x ).
$93$
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find the sine, cosine, and tangent of ∠e. write your answer in simplifi…
$\sin(E) = \frac{\sqrt{23}}{7}$ $\cos(E) = \frac{\sqrt{26}}{7}$ $\tan(E) = \frac{\sqrt{598}}{26}$
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what ordered pairs are the solutions of the system of equations shown i…
The solutions are the ordered pairs of the intersection points, which are \(\boldsymbol{(-4, 6)}\) and \(\boldsymbol{(1, 1)}\) (Wait, but maybe I made a mistake in coordinates. Wa…
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in the figure below, $l \\parallel m$. find $x$.
$120^\circ$
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in the figure below, ( l parallel m ). find ( x ).
$113$
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in the figure below, ( l parallel m ). find ( x ).
$113$
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find the sine, cosine, and tangent of ∠f. write your answer in simplifi…
$\sin(F) = \frac{\sqrt{210}}{24}$ $\cos(F) = \frac{\sqrt{366}}{24}$ $\tan(F) = \frac{\sqrt{2135}}{61}$
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a kite flying in the air has a 12 - ft line attached to it. its line is…
6.6 ft
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a 34 m tall building casts a shadow. the distance from the top of the b…
14.6 m
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find the cosine of $\\angle c$. write your answer in simplified, ration…
$\frac{\sqrt{205}}{41}$
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x = db = if ae= 6x - 55 & ec= 3x - 16, find db. 6x - 55 + 3x - 16 show …
\( x = 13 \) \( DB = 46 \) ### Problem 6 (Middle - Rectangle Diagonals)
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try this for yourself! algebra find the value of x that makes ( m paral…
\(x = 40\) ### Problem 4:
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which graph shows rotational symmetry?
The graph of \(f(x)\) (the second graph in the top row) shows rotational symmetry.
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find the cosine of $\\angle u$. write your answer in simplified, ration…
$\frac{2\sqrt{19}}{19}$
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example 3 prove the alternate interior angles converse prove that if tw…
To properly prove the Alternate Interior Angles Converse, we can use a more precise and complete two - column proof: ### Step 1: List the given information We are given that $\ang…
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in the figure below, ( mangle 1 = 6x^circ ) and ( mangle 2 = (x - 23)^c…
$m\angle 1 = 174^\circ$ $m\angle 2 = 6^\circ$
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find \\tan(m) given the triangle. enter your answer as a fraction.
$\frac{21}{20}$
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in the figure below, ( mangle 1 = 5x^circ ) and ( mangle 2 = (x + 12)^c…
$m\angle 1 = 65^\circ$ $m\angle 2 = 25^\circ$
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find the sine of $\\angle w$. write your answer in simplified, rational…
$\frac{3\sqrt{74}}{37}$
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convert \\(\\frac{\\pi}{3}\\) radians to degree measure.
$60^\circ$
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find tan (r) given the triangle. enter your answer as a fraction draw
$\frac{20}{21}$
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find the sine of $\\angle s$. write your answer in simplified, rational…
$\frac{6\sqrt{47}}{47}$
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find the sine, cosine, and tangent of $\\angle j$. simplify your answer…
$\sin(J) = \frac{12}{13}$ $\cos(J) = \frac{5}{13}$ $\tan(J) = \frac{12}{5}$
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find the sine, cosine, and tangent of $\\angle e$. simplify your answer…
$\sin(E) = \frac{72}{97}$ $\cos(E) = \frac{65}{97}$ $\tan(E) = \frac{72}{65}$
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find \\(\\tan(a)\\) given this triangle. enter your answer as a fractio…
$0.225$ or $\frac{9}{40}$
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the rectangles shown below are similar. determine the length of the sid…
\( x = 16 \)
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find the sine, cosine, and tangent of ∠c. simplify your answers and wri…
$\sin(C) = \frac{12}{13}$ $\cos(C) = \frac{5}{13}$ $\tan(C) = \frac{12}{5}$
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find \\sin(x) given the triangle. enter your answer as a fraction. draw
$\frac{63}{65}$
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find the sine of $\\angle t$. simplify your answer and write it as a pr…
$\frac{77}{85}$
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23. 1. if j is the centroid of $\\triangle cde$, $de = 52$, $fc = 15$, …
a) $DG = \boldsymbol{\frac{104}{3}}$ b) $GE = \boldsymbol{\frac{52}{3}}$ c) $DF = \boldsymbol{15}$ d) $CH = \boldsymbol{14}$ e) $CE = \boldsymbol{28}$
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22. a(n) ______________ is equidistant from the sides of a triangle. op…
C. Incenter
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find the tangent of $\\angle b$. simplify your answer and write it as a…
$\frac{15}{8}$
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21. a(n) ______________ is equidistant from the vertices of a triangle.…
circumcenter
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20. the three _________________ of a triangle intersect at the orthocen…
B. altitudes
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19. the three __________ of a triangle intersect at the centroid. - med…
A. medians
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ognize symmetry in functions describe the symmetry of this function. li…
line symmetry only
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18. the three ________ of the angles of a triangle intersect at the inc…
B. angle bisectors
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find cos (v) given the triangle. enter your answer as a fraction.
$\frac{24}{25}$
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the three __________ of the sides of a triangle intersect at the circum…
C. Perpendicular bisectors
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16. altitudes & orthocenter altitude triangle with altitude image a seg…
orthocenter
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the quadrilateral below is a parallelogram, find the missing measures. …
\( CF = \boldsymbol{10} \), \( FE=\boldsymbol{15} \), \( CE=\boldsymbol{14} \), \( GD=\boldsymbol{11} \) (Note: The values provided in the original blanks may be incorrect as per …
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Question was provided via image upload.
1. Completed final sentence: An Altitude can be $\boldsymbol{inside}$ a triangle, $\boldsymbol{outside}$ a triangle, or a $\boldsymbol{side}$ of the triangle. 2. Confirmation of p…
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Question was provided via image upload.
side
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Question was provided via image upload.
vertex