Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
-
6. in which of these cases will a spheres volume increase by more than …
A. when its radius increases from 2 cm to 4 cm (if we assume a miscalculation above was wrong and recalculate: \(\frac{4}{3}\pi(4^{3}-2^{3})=\frac{4}{3}\pi(64 - 8)=\frac{4}{3}\pi\…
-
6. in which of these cases will a spheres volume increase by more than …
None of the options A - D have a volume increase more than \(200\pi\mathrm{cm}^{3}\). There might be a mistake in the problem statement or options provided. If we assume the formu…
-
7. which graph shows x < 4? a. open circle at 4, shading left b. closed…
- **Problem 7**: A. Open circle at 4, shading left - **Problem 9**: B. \(x\leq10\) - **Problem 11**: Yes, \(x = - 2\) satisfies \(2x+4\leq0\)
-
2 multiple choice 5 points △abc is the original figure and △abc represe…
2; \((1,2)\)
-
5. audrey is ordering a cake for her birthday party. she needs a cake w…
- Hemisphere with a radius of 8 inches: No - Cylinder with a diameter of 14 inches and a height of 9 inches: Yes - Sphere with a diameter of 15 inches: Yes - Cone with a radius of…
-
8. a number line shows an open circle at 6 with shading to the left. wr…
\(x < 6\)
-
5. audrey is ordering a cake for her birthday party. she needs a cake w…
E. when its radius increases from 8 cm to 10 cm
-
7. which graph shows x < 4? a. open circle at 4, shading left b. closed…
A. Open circle at 4, shading left
-
if two right triangles each have a 45° angle, then the triangles must b…
C. similar
-
6. graph y ≤ -2 on a number line.
On the number line, place a closed circle at -2 and draw an arrow extending to the left from -2.
-
5. audrey is ordering a cake for her birthday party. she needs a cake w…
E. when its radius increases from 8 cm to 10 cm
-
which two triangles are congruent by the sss theorem? complete the cong…
\(\triangle EFG\cong\triangle YXZ\)
-
5. graph x > 3 on a number line.
Draw an open circle at \(3\) on the number line and shade the region to the right of \(3\).
-
modeling real life use the diagram and the steps below to prove that th…
1. \(RS = CF\) 2. \(RM=RS + SM\) 3. \(CD=CF + FD\) 4. \(RM=CF + SM\) (after substituting \(RS\) with \(CF\) in \(RM = RS+SM\)) 5. \(RM = CD\) (after substituting \(SM\) with \(FD\…
-
what is the area, in square feet, of the shape below? express your answ…
\(\frac{4}{9}\)
-
write the coordinates of the vertices after a dilation with a scale fac…
\( A'(-3,-4) \) \( B'(-3,-1) \) \( C'(-1,4) \) \( D'(-1,-4) \)
-
12. a square has an area of 100 cm². it is dilated by a scale factor of…
Veronica is correct. When a square (a two - dimensional figure) is dilated by a scale factor \(k\), the area of the new square is \(k^{2}\) times the area of the original square. …
-
2. beth has a can of corn that is 3.5 inches high and has a diameter of…
B. \(68.7\) in.\(^{3}\)
-
the area of the triangle below is 3.63 square inches. what is the lengt…
\(3.3\)
-
name the property that the statement illustrates. if ( angle l cong ang…
Transitive
-
the area of the triangle below is 32.3 square inches. what is the lengt…
\(9.5\) inches
-
in the figure, ( in = ck ) and ( overline{ik} parallel overline{nc} ). …
B. SAS
-
if two angles of a triangle are complementary, then the triangle must b…
right
-
3. chris has a cone with a radius of 5 inches and a height of 12 inches…
C. \(18.6\) mm
-
what is the image of point ( a(2,-3) ) after these three transformation…
\(G\)
-
what is the image of point ( b(3,2) ) after these three transformations…
\(H\)
-
name the property that the statement illustrates. if \\( \\overline { p…
Transitive
-
the width of a rectangle measures $(9v - 5w)$ centimeters, and its leng…
\(36v + 2w\)
-
what is the image of point ( b(3,2) ) after these three transformations…
\((0,-2)\)
-
the width of a rectangle measures $(5v - 2w)$ centimeters, and its leng…
\(10w + 22v\)
-
name: date: secured lo: swbat solve problems involving the volume of cy…
C. Each hat can hold about 117.29 cubic inches of candy. D. It will require more than 700 cubic inches of candy to fill all of the hats.
-
mixed exercises find the value of x. then find the measure of each angl…
15. \(x = 20\), angles are \(40^{\circ}\), \(60^{\circ}\), \(80^{\circ}\). 16. \(x = 30\), angles are \(30^{\circ}\), \(60^{\circ}\), \(90^{\circ}\). 17. \(x = 11\), angles are \(…
-
in the figure, xywz is an isosceles trapezoid. which pair of triangles …
\(\triangle XZY\) and \(\triangle YWX\)
-
dilate △jkl by a scale factor of 1/3 with the center of dilation at the…
The coordinates of the dilated triangle \(\triangle J'K'L'\) are \(J'(-3,\frac{7}{3})\), \(K'(0,3)\), \(L'(-2,0)\)
-
name the property that the statement illustrates. if ( overline{xy} con…
Symmetric
-
name the property that the statement illustrates. ∠f ≅ ∠f the statement…
Reflexive
-
if two sides of a triangle have lengths 4 and 9, then the length of the…
D. greater than 5 but less than 13
-
teo paints an auto race in the desert from the perspective of one of th…
- First question: vanishing - Second question: geometric
-
11 multiple choice 5 points in the two triangles, ( ab = xy ), ( ac = x…
B. congruent by SAS
-
question 9 1 pts what type of shape are things such as squares, triangl…
geometric
-
10 multiple choice 5 points an exterior angle at the base of an isoscel…
obtuse
-
which set of numbers can represent the lengths of the sides of a triang…
\(\{4,7,10\}\)
-
8 which set of numbers can represent the lengths of the sides of a tria…
\(\{3,5,7\}\)
-
the graph shows parallelogram fghj and the location of vertex f after a…
\((3,-9)\)
-
7 multiple choice 5 points given the figure as marked, which segment mu…
\(\overline{CF}\)
-
6 multiple choice 5 points in the diagram below, lines p and r are para…
$\angle2$
-
5 multiple choice 5 points which statement about two equilateral triang…
They are similar.
-
multiple choice 5 points look at the graph. which of the ordered pairs …
A. \((3,1)\)
-
in the diagram, dg = 12, gf = 4, eh = 9, and hf = 3. to prove that △dfe…
\(\angle DFE\) is \(4\) times greater than \(\angle GFH\) is incorrect. The correct statement is that \(\triangle DFE\sim\triangle GFH\) by SAS similarity as \(\frac{DF}{GF}=\frac…
-
which transformations could have occurred to map △abc to △abc? o a rota…
a reflection and a dilation
-
parallelogram fghi was dilated and translated to form similar parallelo…
\(\frac{1}{4}\)
-
in the diagram, ( ac = ad ) and ( overline{ab} ) bisects ( angle a ). w…
D. SAS
-
which best explains why all equilateral triangles are similar? o all eq…
All equilateral triangles can be mapped onto each other using combinations of dilations and rigid transformations.
-
in the accompanying diagram, \\( \\triangle abc \\) and \\( \\triangle …
\(HL\cong HL\)
-
1 multiple choice 5 points two triangles are congruent if the angles in…
corresponding sides and corresponding angles are congruent
-
question 5. naomi is building a circular coffee table for her living ro…
A. \(25\pi x^{9}y^{\frac{4}{3}}\)
-
question 1 1 pts when drawing a value scale, what must be created first…
square
-
in exercises 9 and 10, ( rstusim abcd ). find the ratio of their perime…
Exercise 9: \(\frac{3}{2}\) Exercise 10: \(\frac{3}{4}\)
-
problem 6 this shape is made of part of a circle and part of a square w…
| Perimeter (units) | Area (sq. units) | | ---- | ---- | | $37.85$ | $94.625$ |
-
factoring teams activity 1) look at this polynomial with your team. wri…
The product (length)(width) is \((x + y+6)(x + 3)\)
-
review the twenty - ninth and thirtieth paragraphs. 28 soon the gondola…
She suspects that Grandpa has faked his illness.
-
problem 5b explain how you know the relationship between the radius of …
The relationship between the radius of a circle and its area is not proportional because the ratio of the area to the radius is not constant. For \(r = 1\), \(\frac{A}{r}=\frac{3.…
-
4. (8 points) reminders: ( a=\frac{1}{2} r^{2} \theta, s=r \theta ). fi…
A. \(\frac{25\pi}{3}\) cm B. \(20\) ft
-
complete the table for the relationship between the radius and the area…
| Radius (units) | Area (sq. units) | |----|----| | 1 | \(\approx3.14\) | | 2 | \(\approx12.56\) | | 3 | \(\approx28.26\) |
-
the circumference of a circle is c = 2(pie)r. determine the radius (r) …
1. \(10\) in 2. \(1.6\) cm 3. \(2.5\) ft 4. \(7.6\) mm
-
problem 4 decide whether each quantity describes a circles circumferenc…
- **Circumference**: The amount of ribbon needed to wrap around a circular present; How long it takes to run around a circular track. - **Area**: The amount of paint needed to cov…
-
6. multiply. show your work for part b. you can use a generic rectangle…
a. \(\frac{1}{9}\) b. \(\frac{121}{7}\) (or \(17\frac{2}{7}\))
-
the numbers in the boxes are products of the variables in the circles. …
\(a=-3\), \(b = 5\)
-
transformation detective youre designing the transformation logic for a…
Yes, it is possible. For example, two translations: if \(T_1(x,y)=(x + 2,y+3)\) and \(T_2(x,y)=(x - 1,y + 4)\), then \(T_2\circ T_1(x,y)=(x+2-1,y + 3+4)=(x + 1,y+7)\), which is eq…
-
identifying congruent shapes on a grid
First pair (triangles): No, First pair (circles): No, Second pair (L - shaped): Yes, Second pair (rectangles): No
-
three students tried to calculate the circumference. order their answer…
FARTHEST FROM EXACT CIRCUMFERENCE: \(31.4\pi\) units, MIDDLE: \(10\pi\) units, CLOSEST TO EXACT CIRCUMFERENCE: \(31.4\) units.
-
solve the inequality and graph the solution on the line provided. -6x +…
Inequality Notation: \(x\geq3\) For the number - line: Place a closed - circle at \(x = 3\) (because the inequality includes equality, i.e., \(x\) can be 3) and shade to the right…
-
solve the inequality and graph the solution on the line provided. -5 - …
Inequality Notation: \(x\leq - 6\) To graph on the number - line: Place a closed circle at \(-6\) (because the inequality is \(\leq\)) and shade to the left (since \(x\) is less t…
-
part a explain how you know that the triangles are similar. all right t…
- Part A: Angle \(A\) is the same for both triangles and \(m\angle C\) is equal to \(m\angle E\), so the triangles are similar by \(AA\) similarity. - Part B: The lengths of the c…
-
the inequality and graph the solution on the line provided. -6 - 4x < 6…
Inequality Notation: \(x > - 3\) For the number line: Plot an open circle at \(-3\) (since the inequality is strict, \(x eq - 3\)) and draw an arrow to the right (towards positiv…
-
directions: use this information to answer parts a and b. the graph sho…
Angle \(A\) is the same for both triangles and \(m\angle C\) is equal to \(m\angle E\), so the triangles are similar by \(AA\) similarity.
-
solve the inequality and graph the solution on the line provided. 8x + …
Inequality Notation: \(x\geq2\) For the number line: Place a closed circle at \(x = 2\) (because the inequality is \(\geq\), so 2 is included in the solution set) and draw a line …
-
3 numeric 1 point which angle is alternate exterior to < 1? answer
\(7\)
-
3 numeric 1 point which angle is alternate exterior to < 1? answer
\(7\)
-
solve the inequality and graph the solution on the line provided. 3x + …
Inequality Notation: \(x < 3\) For the number line: Place an open circle at \(3\) (since \(x\) is less than, not less than or equal to) and shade the line to the left of \(3\).
-
which of these can be used to show that the slope of a non - vertical l…
C. right triangles
-
solve the inequality and graph the solution on the line provided. 6x - …
Inequality Notation: \(x < - 4\) For the number line: Place an open circle at \(-4\) (because the inequality is strict, i.e., \(x\) is not equal to \(-4\)) and shade the line to t…
-
2 multiple choice 1 point in the figure shown, the sum of the measures …
\(30\)
-
solve for x.
\(x = 18.5\)
-
which sentences feature a first - person point of view? select three an…
- "My friend likes cars with a lot of horsepower, but I prefer good gas mileage" - "I spent last night studying for the geometry test we're taking in fifth period" - "Although his…
-
give the location of bern as an ordered pair $(x,y)$.
\((4,-3)\)
-
barry needs 56 square feet of mulch to cover his garden. the width of t…
7
-
question 9 (1 point) 4 16 m 8 m 5 m 10 m 4 m p = a = the area is square…
The perimeter \(P = 38\) meters. The area \(A=50\) square meters. So the area is \(50\) square meters.
-
in the triangular prism shown below, which lines are intersecting? sele…
\(\overleftrightarrow{GJ}\) and \(\overleftrightarrow{FI}\), \(\overleftrightarrow{IJ}\) and \(\overleftrightarrow{GH}\), \(\overleftrightarrow{IK}\) and \(\overleftrightarrow{GH}…
-
7. (5x - 7)° (8x - 55)° x = 9
\(16\)
-
6. 104 (9x - 25) 8 x =
\(7\)
-
find z. 30° z 2√2 ft 60° write your answer in simplest radical form. fe…
\(\sqrt{2}\)
-
write your answer in simplest radical form. yards
$3\sqrt{2}$
-
write your answer in simplest radical form. meters
\( 10 \)
-
calculate the area of the circle. formula: ( a=pi r^{2} ) use 3.14 for …
\(78.5\)
-
calculate the area of the circle. formula: $a = pi r^{2}$ use 3.14 for …
\(153.9\)
-
calculate the area of the circle. formula: a = πr² use 3.14 for pi. a =…
\(28.3\) \(cm^{2}\)
-
calculate the area of the circle. formula: $a = \\pi r^{2}$ use 3.14 fo…
\(1256.0\)
-
graph quadrilateral qrst and its image after a rotation 270° about the …
Graph the points \(Q(-7,-3)\), \(R(-6,0)\), \(S(-2,0)\), \(T(-1,-3)\) for quadrilateral QRST and \(Q'(-3,7)\), \(R'(0,6)\), \(S'(0,2)\), \(T'(-3,1)\) for its \(270^{\circ}\) - rot…
-
graph quadrilateral j k l m and its image after a rotation 180° about t…
Plot the original points \(J(1,4)\), \(K(6,5)\), \(L(7,2)\), \(M(2,1)\) and the rotated points \(J'(-1,-4)\), \(K'(-6,-5)\), \(L'(-7,-2)\), \(M'(-2,-1)\) on the coordinate - plane.