Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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question 10 of 25 what tools did the greeks not use in geometric constr…
A. Protractor, B. Eraser
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to calculate the volume of a cone, you need the radius of the base and …
1. height 2. 3 3. cone
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question 9 of 25 which of these tools or constructions is needed to con…
B. compass
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question 8 of 25 what kinds of regular polygons can be used for regular…
B. Three - sided, C. Six - sided
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question 7 of 25 you cannot tessellate six - sided regular polygons by …
B. False
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question 6 of 25 if you repeat the perpendicular line segment construct…
A. a parallel to a line through a point not on the line.
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the space that a three - dimensional object takes up is called its a co…
1. volume 2. pointed 3. one - third 4. height 5. cylinder
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question 5 of 25 how many degrees has \\( \\triangle a b c \\) been rot…
A. \(90^{\circ}\)
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question 4 of 25 ______ regular polygons are symmetrical. a. even - sid…
D. All
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which of the following steps were applied to abcd to obtain abcd? a. sh…
B. shifted 3 units left and 4 units up
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which of the following best explains why a cones volume is \\( \\frac {…
For the first question: a. A cone occupies one - third of the space of a cylinder with the same base and height. For the second question: b. The volume is tripled.
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a cone and a cylinder have the same base radius and height. if the cyli…
For the first problem: d. \(100\ cm^{3}\) For the second problem: a. \(8\pi\ cm^{3}\)
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if the radius of a cone is 3 and the height is 7, what is its volume? o…
First problem: B. \(21\pi\mathrm{cm}^{3}\) Second problem: B. \(84.78\mathrm{cm}^{3}\)
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the height of a cone is represented by the symbol: a t b v c h d π whic…
1. c. \(h\) 2. b. \(\pi r^{2}\)
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lesson: formulating and interpreting volume of cones using e... a cone …
First question: d. \(6\) \(cm\) Second question: a. the radius of the base and the height
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which of the following are reasons used in the proof that the angle - b…
A. Corresponding parts of congruent triangles are congruent. C. Every segment is congruent to itself. D. All of the radii of a circle are congruent.
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question 10 of 10 a tessellation could be created using circles like th…
B. False
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question 9 of 10 a tessellation is an arrangement of repeating shapes t…
B. No spaces or overlaps exist between its pieces.
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question 8 of 10 the illustration below is an example of a semi - regul…
B. False
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question 7 of 10 tessellations that use more than one type of regular p…
B. False
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question 6 of 10 its possible to create a regular tessellation with a r…
B. False
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question 5 of 10 tessellations have been used by various cultures in de…
D. All of the above
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question 4 of 10 if a tessellation is regular, how many sides can the t…
A. 3, C. 4, E. 6
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question 3 of 10 which of the following can be used to create a regular…
A. Equilateral triangle, C. Square, D. Regular hexagon
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question 2 of 10 a regular tessellation is a tessellation that uses onl…
A. polygon
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question 1 of 10 only regular polygons with an even number of sides can…
B. False
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policies current attempt in progress match each situation with the frau…
a. Financial pressure b. Rationalization c. Financial pressure d. Opportunity
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14. the perimeter ( p ) (in yards) of a soccer field is represented by …
\(M = 10\ell-\frac{5}{2}g + 130\)
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statements reasons 1. 1. given 2. ( ac = ce ) ( bc = cd ) 2. given 3. (…
The proof shows that \(\overline{AC}\cong\overline{CD}\) through a series of substitution, simplification, and application of equality properties.
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statements reasons 1. 1. given 2. ( ac = ce ) ( bc = cd ) 2. 3. ( ae = …
1. \(AE = BD\) 2. Given (assuming a mis - order in the table, if \(AC = CE\) and \(BC = CD\) are given) or Mid - point (if \(E\) is mid - point of \(AC\) and \(D\) is mid - point …
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the image is an example of which type(s) of symmetry? a. reflectional b…
B. Both rotational and reflectional
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question 9 of 10 if a shape is a regular octagon with eight sides, whic…
A. It is symmetrical, B. It has reflectional symmetry, D. It has eight lines of symmetry
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question 8 of 10 how many lines of symmetry does a regular hexagon have…
A. 6
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question 7 of 10 when an image has a point of symmetry, then any line c…
B. False
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question 6 of 10 the line of symmetry divides a design so that every po…
D. coincides with
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question 5 of 10 one way to recognize a line of symmetry is to look for…
C. two congruent parts.
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the diagram of the square below displays all the lines of symmetry for …
A. True
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what is the value of k? \t
\(100.4\)
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what is the value of z? 55.1° z submit
\(55.1\)
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the measure of an angle is 173.3°. what is the measure of its supplemen…
\(6.7\)
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the measure of an angle is 172°. what is the measure of its supplementa…
\(8\)
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the measure of an angle is 70°. what is the measure of its complementar…
\(20\)
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what is the value of m?
\(113\)
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what is the value of f?
\(54\)
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what is the value of w? 102° submit
\(78\)
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what is the value of v?
\(100\)
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what is the value of t?
\(111\)
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question 1 of 10 a point of symmetry is a point around which a shape ca…
B. False
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in each part, dilate the solid figure exactly onto the dashed figure. i…
For the first pair of squares: possible (scale factor \(k = 4\)). For the second pair of rectangles: Not possible.
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question 10 of 10 which of the following steps were applied to △abc obt…
B. Shifted 4 units left and 4 units up
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question 9 of 10 which of the following is not a rigid motion transform…
A. Dilation
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question 7 of 10 abcd is rotated counterclockwise about the origin. by …
C. \(270^{\circ}\)
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10.4.2 quiz: transformations a. rotate 180 degrees counterclockwise abo…
C. Rotate 90 degrees counterclockwise about the origin, then translate 2 units down.
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question 4 of 10 how many degrees has \\( \\triangle a b c \\) been rot…
\(270^{\circ}\)
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question 2 of 10 if the trapezoid below is reflected across the x - axi…
If we assume the options are mis - numbered (since the correct reflection of \((1,8)\) over x - axis is \((1,-8)\)), but if we follow the formula for reflection over x - axis \((x…
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question 1 of 10 if \\( \\triangle a b c \\) is reflected across the \\…
B. \((4,2)\)
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draw the reflection of the triangle across the y - axis.
Follow the above steps to draw the reflected triangle on the given coordinate - plane.
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for the figure below, give the following. (a) one pair of angles that f…
(a) Linear pair: \(\angle1\) and \(\angle2\) (or \(\angle3\) and \(\angle4\), \(\angle6\) and \(\angle7\), \(\angle5\) and \(\angle8\)) (b) Vertical angles: \(\angle1\) and \(\ang…
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for the figure below, give the following. (a) one pair of angles that f…
(a) Linear pair: \(\angle2\) and \(\angle4\) (b) Vertical angles: \(\angle6\) and \(\angle8\) (c) Supplementary angles: \(\angle3\) and \(\angle5\)
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for the figure below, give the following. (a) one pair of angles that f…
(a) Linear pair: \(\angle1\) and \(\angle2\) (b) Vertical angles: \(\angle1\) and \(\angle4\) (c) Congruent angles: \(\angle1\) and \(\angle4\)
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a rectangular park is 100 meters long and 50 meters wide. give the leng…
width = \(10\) meters, length = \(140\) meters
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a rectangular lot is 75 yards wide and 120 yards long. give the length …
width = 50 yards, length = 145 yards
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a rectangular field is 90 yards long and 60 yards wide. give the length…
width = \(70\) yards, length = \(80\) yards
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sun shades are sold in the shape of right isosceles triangles. if the e…
The system \(y=\frac{1}{2}x^{2}\) and \(y = 64\) can be used.
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for the point ( p(-22,-1) ) and ( q(-15,4) ), find the distance ( d(p,q…
The distance \(d=\sqrt{74}\). The coordinates of the mid - point \(M\) is \((-\frac{37}{2},\frac{3}{2})\).
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how was feudal society structured? c as a pyramid with the king at the …
C. As a pyramid with the king at the top
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write a paragraph proof. 2. given: \\( \\overline { b d } \\) bisects \…
Since \(BD\) bisects \(\angle ABC\) and \(\angle ADC\), \(\angle ABD = \angle CBD\) and \(\angle ADB=\angle CDB\). Also, given \(\overline{AB}\cong\overline{CB}\) and \(\overline{…
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4 - 3 study guide and intervention (continued) congruent triangles prov…
The two - column proof for $\triangle AED\cong\triangle CEB$ is as follows: | Statement | Reason | | --- | --- | | 1. $\angle A\cong\angle C$, $\angle D\cong\angle B$, $\overline{…
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how many lines of symmetry does this figure have? it has line(s) of sym…
\(1\)
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in sculpture in the round, the division of positive and negative space …
C. focus and interest of the viewer.
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which of the following is not true of sculpture in the round? a. there …
A. There are three main techniques of sculpture in the round which include, casting, carving, and assemblage.
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find the unknown angle measure. figure is not to scale. question help: …
\(38\)
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find the unknown angle measure. figure is not to scale
\(71.5\)
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find the value of x. figure is not to scale. question help: video writt…
\(65\)
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if $m\\angle3$ is $-5(x + 3)$ degrees and $m\\angle6$ is $x - 33$ degre…
\(x=-57\)
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if $mangle2$ is $5x + 5$ degrees and $mangle6$ is $30^{circ}$, what is …
\(x = 5\)
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find the measure of the obtuse angle. solve. ( y = ) the obtuse angle m…
\(y = 17\); The obtuse angle measures \(123\) degrees.
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find the value of x. submit question $x=$
\(x = 38\)
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find the measure of the angles. the angle measures angle 1 degrees. ang…
angle 1: \(118\) degrees. angle 2: \(62\) degrees. angle 3: \(118\) degrees.
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find the measure of the angles. the angle measures angle 1 degrees, ang…
angle 1 \(30\) degrees, angle 2 \(150\) degrees, angle 3 \(30\) degrees.
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write a quadratic function for the area of the figure. then, find the a…
The quadratic function is \(A(x)=\pi x^{2}\), and when \(x = 19\), the area is \(361\pi\approx1133.54\)
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write a quadratic function for the area of the figure. then, find the a…
A quadratic function for the area is \(A(x)=\pi x^{2}\). When \(x = 19\), the area is approximately \(1133.54\).
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for problems 7 - 9, describe the reflection that maps the figure onto t…
The reflection over the line \(r\) maps the figure \(ABCDE\) onto its image \(A'B'C'D'E'\).
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4. complete the table by identifying the rigid motion that maps the fir…
| Rigid Motion | Figure A onto Figure B | Figure A onto Figure C | Figure B onto Figure C | |--|--|--|--| | | Rotation | Reflection | Reflection |
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for problems 1 - 3, identify the rigid motion that maps △abc onto its i…
1. Translation 2. Rotation 3. Reflection
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grade 7 unit 1 section a checkpoint you may use a geometry toolkit and …
b.
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challenge: the coordinates of three vertices of square abcd are a(-2\\f…
\(18\)
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name homework 2 - 6 assigned 10/9 the coordinates of three vertices of …
\(18\)
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martin used a coordinate plane to design the garden shown. each unit on…
\(3200\) yards
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find the arc length, s, if r = 6 and the measure of the angle, \\( \\th…
\(9\)
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find the measure of \\( \\theta \\), in radians, if \\( r = 5 \\) and t…
\(3.1\)
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find the arc length, s, if r = 11 and the measure of the angle, \\( \\t…
\(\frac{132\pi}{13}\)
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find the measure of $\\theta$, in radians, if $r = 7$ and the arc lengt…
\(1.5\) radians
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3. nikki drew a rectangle with a perimeter of 18 units on a coordinate …
The perimeter of the rectangle is \(52\)
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name 1. what is the distance between ( j(-6,-2) ) and ( h(2.5,-2) )? 2.…
B. \((-1,1)\) and \((4,1)\)
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find the distance between the pair of points (2,3) and (8,9). if necess…
\(6\sqrt{2}\)
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name homework 1. what is the distance between j (-6, -2) and h (2.5, -2…
The perimeter of rectangle \(JKLM\) is \(22\) units.
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find the value of x. x =
\(x = 112\)
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1. what is the distance between j(-6, -2) and h(2.5, -2)? 2. what is th…
1. The distance between \(J(-6,-2)\) and \(H(2.5,-2)\) is \(8.5\). 2. The perimeter of rectangle \(JKLM\) is \(22\). 3. Two other vertices of the rectangle could be \((4,3)\) and …
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value of x. 104° 119° 76° x° x =
\(x = 61\)