Géométrie
Triangles, cercles, géométrie analytique et démonstrations.
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ab is congruent to cd. solve for x. a. x = 3.3 b. x = 9 c. x = 28 d. x …
D. \(x = 7\)
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an angle measures 4.3 radians. to the nearest degree, what is the measu…
\(246\)
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how many complete rotations does the minute hand of a clock make as it …
1. \(4\) 2. \(8\pi\) 3. \(125.7\)
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use the geometric mean (altitude) theorem. what is the value of m? 4 2√…
\(4\sqrt{10}\)
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converting radians to degrees convert 1 radian to degrees. round your a…
\(57\)
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convert 1 radian to degrees. round your answer to the nearest degree. 1…
\(67.5\)
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use the formula for radian measure to calculate the measure of a centra…
\(1.75\)
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note: triangle may not be drawn to scale. suppose a = 2 and b = 8. find…
\(\sin(A)\approx0.24\), \(\cos(A)\approx0.97\), \(\tan(A)=0.25\), \(\sec(A)\approx1.03\), \(\csc(A)\approx4.12\), \(\cot(A)=4\)
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find the coordinates of a point on a circle with radius 30 correspondin…
\((17.208,24.576)\)
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find an angle \\( \\theta \\) with \\( 0^{\\circ}<\\theta<360^{\\circ} …
Sine as \(10^{\circ}\): \(\theta = 170\) degrees Cosine as \(10^{\circ}\): \(\theta=350\) degrees
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without using a calculator, compute the sine and cosine of 210° by usin…
Reference angle: \(30\) degrees. Quadrant: \(3\) \(\sin(210^{\circ})=-\frac{1}{2}\) \(\cos(210^{\circ})=-\frac{\sqrt{3}}{2}\)
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from least to greatest, what are the measures of the next two angles wi…
\(610\) and \(970\)
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from greatest to least, what are the measures of the first two angles w…
\(-110\) and \(-470\)
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identify measures of angles that are coterminal with a 145° angle. choo…
\(505^{\circ}\), \(-215^{\circ}\), \(-575^{\circ}\), \(865^{\circ}\)
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a survey team is trying to estimate the height of a mountain above a le…
\(4406\)
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find x correct to 2 decimal places. note: the triangle is not drawn to …
\(x\approx170.76\)
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a radio tower is located 350 feet from a building. from a window in the…
\(454.79\)
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the angle of elevation to the top of a building in new york is found to…
\(553.3\)
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a 16 - ft ladder leans against a building so that the angle between the…
$15.7$ ft (rounded to one decimal place)
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note: triangle may not be drawn to scale. suppose ( c = 7 ) and ( a = 4…
\(a\approx4.9\) \(b\approx4.9\) \(B = 45\) degrees
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note: triangle may not be drawn to scale. suppose a = 2 and a = 70 degr…
\( b = 0.7 \), \( c = 2.1 \), \( B = 20.0 \) degrees
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points a, b, and c are midpoints of the sides of right triangle def whi…
- \(BC = 6\mathrm{cm}\) - \(AC = 5\mathrm{cm}\) - \(BA = 4\mathrm{cm}\)
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consider the proof given segment ab is parallel to line de prove \\( \\…
\(\frac{AC}{DC}=\frac{BC}{EC}\)
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which represents the measures of all angles coterminal with a 400° angl…
\(40 + 360n\), for any integer, \(n\) (the fourth option)
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mo, mn, and on are the midsegments of △jkl. what is the perimeter of △j…
19
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given △stu with st || xy. prove \\( \\frac { s x } { x u } = \\frac { t…
\(\frac{SX}{XU}=\frac{TY}{YU}\)
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find the measure of an angle with measure between 0° and 360° that is c…
For \(-800^{\circ}\): \(280^{\circ}\) For \(800^{\circ}\): \(80^{\circ}\)
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given △stu with st ∥ xy prove (\frac{sk}{xu}=\frac{ty}{yu}) complete th…
$\triangle SUX\sim\triangle TUY$
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given (\triangle stu) with (overline{st}paralleloverline{xy}). prove (\…
triangle \(STU\) is similar to triangle \(XYU\)
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given \\( \\triangle s t u \\) with \\( s t \\parallel x y \\) prove \\…
\(\triangle UXY\sim\triangle UST\)
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the diagram shows the intersections of several straight roads. the aven…
226 ft
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which value of x would make (overline{lk}paralleloverline{om})? (x = 2)…
\(x = 8\) #[SSE Completed, Client Connection Error][SSE Completed, Client Connection Error][LLM SSE On Failure]
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whats the distance between points m and n? meters
9.8
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what is the length of bc? from the markings on the diagram we can tell …
D is the midpoint of AC; mid - segment; \(x = 4\); \(BC=8\)
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to prove part of the triangle midsegment theorem using the diagram, whi…
The length of $\overline{GH}$ is half the length of $\overline{KL}$
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etermining the degree measure of an angle the measure of the angle show…
\(585^{\circ}\)
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points s, u and t are the midpoints of the sides of pqr. which statemen…
$\frac{1}{2}QP = UT$, $\overline{SU}\parallel\overline{RP}$
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the graph shows triangles def and klm. is def congruent to klm? justify…
No, because \( \overline{EF} \) and \( \overline{LM} \) do not have the same length.
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the graph shows quadrilaterals klmn and wxyz. is klmn congruent to wxyz…
Yes, because a reflection across the \(x\) - axis followed by a reflection across the \(y\) - axis maps \(KLMN\) onto \(WXYZ\).
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the graph shows triangles mno and xyz. is mno congruent to xyz? justify…
Yes, because a reflection across the \( x \) - axis followed by a rotation \( 90^{\circ} \) counterclockwise around the origin maps \( MNO \) onto \( XYZ \).
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the graph shows triangles ijk and tuv. is ijk congruent to tuv? justify…
No, because \( \overline{IJ} \) and \( \overline{TU} \) do not have the same length.
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the graph shows triangles mno and tuv. is mno congruent to tuv? justify…
No, because \( \overline{MN} \) and \( \overline{TU} \) do not have the same length.
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what is the point where the medians of a triangle intersect? a. circumc…
1. b. Centroid 2. c. Isosceles 3. a. Scalene 4. c. Orthocenter
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the graph shows quadrilaterals defg and nopq. is defg congruent to nopq…
No, because \( \overline{EF} \) and \( \overline{OP} \) do not have the same length.
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what is the term for a triangle with one interior angle measuring more …
1. c. Obtuse Triangle 2. a. Incenter 3. d. Incenter 4. d. Circumcenter 5. b. Circumcenter 6. d. Incenter
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the graph shows quadrilaterals mnop and wxyz. is mnop congruent to wxyz…
No, because \( \overline{PM} \) and \( \overline{ZW} \) do not have the same length.
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the graph shows triangles lmn and uvw. is lmn congruent to uvw? justify…
No, because \( \overline{LM} \) and \( \overline{UV} \) do not have the same length.
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challenge given that ( mangle a=(18x)^{circ}), ( mangle c=(8x + 28)^{ci…
\(m\angle B = 62^{\circ}\)
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the graph shows triangles cde and vwx. is cde congruent to vwx? justify…
No, because \( \overline{CD} \) and \( \overline{VW} \) do not have the same length.
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challenge given that ( mangle a=(18x)^{circ}), ( mangle c=(8x + 28)^{ci…
\(62\)
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the graph shows triangles pqr and tuv. is pqr congruent to tuv? justify…
No, because \( \overline{PQ} \) and \( \overline{TU} \) do not have the same length.
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7. the coordinates of defg are d(2, -1), e(5, -2), f(4, -5), and g(1, -…
a) \((x,y)\to(x - 5,y+2)\) b) \(D'(-3,1)\), \(E'(0,0)\), \(F'(-1,-3)\), \(G'(-4,-2)\)
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triangles with corresponding angles that are equal and corresponding si…
1. Similar triangles 2. Congruent triangles 3. Circumcenter 4. Incenter 5. Orthocenter 6. Centroid 7. Triangle inequality theorem 8. AA (Angle - Angle) criterion 9. Median 10. Alt…
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the graph shows triangles qrs and uvw. is qrs congruent to uvw? justify…
Yes, because a rotation \(180^{\circ}\) around the origin maps \(QRS\) onto \(UVW\).
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18) models: an airplane has a wingspan of 25 ft and a length of 20 ft. …
The length of the model is \(12\) inches. ### 19)
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7. the coordinates of defg are d(2, -1), e(5, -2), f(4, -5), and g(1, -…
a) \((x,y)\to(x - 5,y + 2)\) b) \(D'(-3,1)\), \(E'(0,0)\), \(F'(-1,-3)\), \(G'(-4,-2)\)
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4) select the correct answer. choose the fractional notation for the ra…
\(\frac{20\div5}{25\div5}=\frac{4}{5}\) (the last option)
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the graph shows quadrilaterals fghi and lmno. is fghi congruent to lmno…
No, because \( \overline{FG} \) and \( \overline{LM} \) do not have the same length.
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6. the coordinates of \\( \\triangle a b c \\) are \\( a ( 2,3 ) \\), \…
a) \(B'(-2,4)\) and \(C'(-1,0)\)
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6. the coordinates of ( \triangle abc ) are ( a(2,3) ), ( b(6,6) ), and…
6a. \(B'(-2,4)\), \(C'(-1,0)\) 7a. \((x,y)\to(x - 5,y + 2)\) 7b. \(D'(-3,1)\), \(E'(0,0)\), \(F'(-1,-3)\), \(G'(-4,-2)\)
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6. the coordinates of △abc are a(2,3), b(6,6), and c(7,2). after a tran…
6a. \(B'(-2,4)\), \(C'(-1,0)\) 7a. \((x,y)\to(x - 5,y + 2)\) 7b. \(D'(-3,1)\), \(E'(0,0)\), \(F'(-1,-3)\), \(G'(-4,-2)\)
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a triangle has angle measurements of 63°, 52°, and 65°. what kind of tr…
acute
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a triangle has angle measurements of 39°, 54°, and 87°. what kind of tr…
scalene
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a triangle has angle measurements of 5°, 85°, and 90°. what kind of tri…
right
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a triangle has side lengths of 16 centimeters, 8 centimeters, and 18 ce…
scalene
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a triangle has two sides measuring 15 millimeters and one side measurin…
Isosceles but not equilateral
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what kind of triangle is this? acute right obtuse
obtuse
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what kind of triangle is this? 41° 90° 49° acute right obtuse
right
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what kind of triangle is this? equilateral isosceles but not equilatera…
scalene
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what kind of triangle is this? 64° 82° 34° acute right obtuse
acute
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what kind of triangle is this? equilateral isosceles but not equilatera…
isosceles but not equilateral
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what kind of triangle is this? acute right obtuse
acute
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what kind of triangle is this? equilateral isosceles but not equilatera…
isosceles but not equilateral
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read the sentences below, filling in the blanks with items from this li…
1. congruent 2. CPCTC 3. SSS 4. SAS 5. AA 6. similar 7. ASA 8. CPCTC
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what kind of triangle is this? equilateral isosceles but not equilatera…
isosceles but not equilateral
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what kind of triangle is this? 19 16 14 equilateral isosceles but not e…
scalene
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for the figure shown, find ( mangle1 ) and ( mangle2 ). (the figure is …
\(m\angle1 = 66^{\circ}\), \(m\angle2=84^{\circ}\)
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what kind of triangle is this? 42° 90° 48° acute right obtuse
right
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what kind of triangle is this? equilateral isosceles but not equilatera…
isosceles but not equilateral
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is this triangle equilateral? 5 4 4 yes no
no
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for the figure shown, find ( mangle 1 ) and ( mangle 2 ). (the figure i…
\(m\angle1 = 66^{\circ}\)
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statue a company is making different size statues that are in the shape…
\(46\)
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classify the triangle using its sides. scalene isosceles, but not equil…
isosceles, but not equilateral
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classify the triangle using its angles. acute right obtuse
obtuse
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3) select the correct answers. choose the ratios two different ways. mi…
Word notation: \(20\) to \(25\); Odds notation: \(20:25\)
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5) select the correct answers. choose the ratios in two different ways.…
Word notation: 25 to 20, Odds notation: 25:20
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true/false decide if each statement is true or false, and write \true\ …
1. false 2. false 3. false 4. true 5. true 6. D. Sugar 7. C. the United States 8. Many Americans were against imperialism because they thought it went against the principles of fr…
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5) select the correct answers. choose the ratios in two different ways.…
Word notation: 5 to 4; Odds notation: 5:4
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classify the triangle using its angles. acute right obtuse
obtuse
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classify the triangle using its sides. scalene isosceles, but not equil…
scalene
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choose the fractional notation for the ratio problem below. simplify th…
\(\frac{25}{20}\div\frac{5}{5}=\frac{5}{4}\)
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classify the triangle using its angles. acute right obtuse
right
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solve for b and graph the solution. |b - 45| ≤ 25 click two endpoints t…
The solution of the inequality \(|b - 45|\leq25\) is \(20\leq b\leq70\). On the number - line, there is a line segment with endpoints at \(20\) (filled - in) and \(70\) (filled - …
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solve for z and graph the solution. 450 ≥ |z + 550| click two endpoints…
The solution of the inequality \(450\geq|z + 550|\) is \(z\in[-1000,-100]\). Graph a line segment on the number line with endpoints at \(-1000\) and \(-100\) (both endpoints are f…
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classify the triangle using its sides. scalene isosceles, but not equil…
isosceles, but not equilateral
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classify the triangle using its sides. 10 mm 10 mm 10 mm scalene isosce…
equilateral
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classify the triangle using its angles. acute right obtuse
obtuse
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solve for r and graph the solution. |r + 240| + 8 < 28 click two endpoi…
The solution of the inequality is \(-260 < r<-220\). On the number - line, we have an open circle at \(r=-260\) and an open circle at \(r = - 220\), and the line segment between t…
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classify the triangle using its sides. scalene isosceles, but not equil…
scalene
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7) select the correct answer. find the total number of shapes, and then…
Word notation: \(25\) to \(45\), Colon notation: \(25:45\)