Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
-
gabriella is 1.25 meters tall. at 3 p.m., she measures the length of a …
\(3.68\) meters
-
a pole 7 feet tall is used to support a guy wire for a tower, which run…
\(44\) feet
-
to indirectly measure the distance across a river, arun stands on one s…
\(64\) feet
-
rectly measure the distance across a river, sebastian stands on one sid…
\(88\) ft
-
for a project in her geometry class, addison uses a mirror on the groun…
\(15.80\) meters
-
to indirectly measure the distance across a lake, jeremiah makes use of…
\(162.26\) m
-
to indirectly measure the distance across a lake, jeremiah makes use of…
\(165.30\) m
-
select the correct answer. a company fabricates cast concrete cylindric…
C. \(13.57m^{2}\)
-
the given diagram shows an angle measuring 0.89 radians with an initial…
\(18.69\)
-
select the correct answer. this is a regular pentagon. the apothem is s…
C. \(36.3\) cm
-
select the correct answer. this is a regular pentagon. the apothem is s…
B. \(30.7\) cm
-
select the correct answer. a window maker creates a round window to be …
A. \(4\) ft
-
select the correct answer from each drop - down menu. the theater club …
The area of the triangle is \(10\) \(ft^2\), the area of the trapezoid is \(3.5\) \(ft^2\), the area of the rectangle is \(0.6\) \(ft^2\), and the total area is \(14.8\) \(ft^2\)
-
several unit vectors \\( \\vec{r}, \\vec{s}, \\vec{t}, \\vec{u}, \\vec{…
1. Negative 2. Positive 3. Negative 4. Negative 5. Zero 6. Zero 7. Negative 8. Positive
-
the equation of a circle is given below. identify the center and radius…
Center: \((0,0)\) Radius: \(4\)
-
select the correct answer. which equation represents a circle with cent…
B. \((x - 5)^2+(y + 1)^2=256\)
-
select the correct answer. the equation $(x - 1)^2 + (y + 1)^2 = r^2$ r…
C. \(\sqrt{17}\)
-
a circle has the equation ( x^{2}+y^{2}+2x - 6y - 6 = 0 ). (a) find the…
(a) The center of the circle is \((-1,3)\). The radius of the circle is \(4\). (c) The intercepts are \((-1+\sqrt{7},0),(-1-\sqrt{7},0),(0,3+\sqrt{15}),(0,3-\sqrt{15})\)
-
determine the measure of each given angle in radians. note that all cir…
The measures of the angles are \(5\) radians and \(3\) radians.
-
what is the standard form of the equation for the circle? a. $(x - 3)^2…
A. \((x - 3)^2+(y - 2)^2=8\)
-
draw a complete graph so that it has symmetry with respect to the origi…
D.
-
question 9 (1 point) which compound angle formula is the easiest to use…
d) addition formula for cosine
-
5. △abc is isosceles, with \\overline{ac} \\cong \\overline{ab}. solve …
\(x = 74^{\circ}\)
-
14. solve for the value of x in the diagram below. enter each line of w…
\(x = 52\)
-
13. select all three isosceles triangles:
C, D, F
-
12. select all three isosceles triangles:
B, C, F
-
select the two statements that correctly describes this figure. a the t…
A. The triangle has two congruent sides; B. The triangle has two congruent angles.
-
10. determine whether the following statement is true or false for the …
A. True
-
8. consider the following diagram: what is the value of ( m )? ( m = ) …
\(125\)
-
find the perimeter and area of the figure if each unit on the graph mea…
Perimeter: \(30.8\) centimeters, Area: \(40\) square centimeters
-
find the perimeter and area of the figure if each unit on the graph mea…
Perimeter: \(18.6\) centimeters, Area: \(16.0\) square centimeters
-
6a which expression represents the angle sum of the triangle? the corre…
\(x = 6\)
-
6a which expression represents the angle sum of the triangle? (10x + 7)…
C. \((10x + 7)+(6x + 20)+(11x-9)=180\)
-
5. consider the diagram below. 5a first, solve for x. 5b now solve for …
\(y = 35\)
-
5. consider the diagram below. 5a first, solve for x. enter your next s…
\( x = 35 \)
-
6. an altitude of a triangle is a line segment drawn from one of its th…
The altitude from \( T\) to \( RS\) is constructed as described above with all construction marks left as per the steps.
-
a cube of ( 5\times5\times5 ) is shown in the figure below. the rows an…
110
-
triangle abc is an obtuse triangle with the obtuse angle at vertex b. a…
less than \(90^{\circ}\)
-
in triangle xyz, ( mangle z>mangle x + mangle y ). which must be true a…
\(m\angle X + m\angle Y<90^{\circ}\)
-
if triangle def has a 90° angle at vertex e, which statements are true?…
Triangle DEF is a right triangle; The angle at vertex D is acute.
-
triangle qrs has the angle measures shown. $m\\angle q=(1x)^{\\circ}$ $…
\(108\)
-
applying the triangle inequality theorem in triangle abc, ab measures 2…
The first inequality is \(10\lt s\lt60\) and the second inequality is \(70\lt p\lt120\)
-
gemma wants to draw a triangle with side lengths of 4 inches, 12 inches…
This triangle does not exist because the sum of 4 and 12 is less than 17.
-
as shown below, how many more small cubes are still needed to complete …
C. 9
-
a triangle has side lengths measuring 20 cm, 5 cm, and n cm. which desc…
\(15 < n < 25\)
-
points a, b, and c, form a triangle. the distance between point a and p…
- For the first blank: \(15 + 25=\boldsymbol{40}\) yards. - For the second blank: \(25-15=\boldsymbol{10}\) yards. - For the third blank: \(15 + 25-10=\boldsymbol{30}\) (since \(w…
-
13 multiple choice 1 point which of the following types of graphs repre…
A diagonal line increasing from left to right.
-
triangle def contains two congruent acute angles. the sum of the measur…
She is correct. The remaining angle of the triangle measures less than 90 degrees.
-
vertical angles corresponding angles alternate exterior angles alternat…
Alternate Interior Angles
-
7 multiple choice 1 point find the measure of angle x. 85 45 95 35 clea…
45
-
a student is trying to construct triangles using four different sets of…
\(45,65,70\)
-
what is the measure of angle b? 117 63 36 56 clear my selection
\(36\)
-
ased on these triangles, which statement about x is true? x = 340 x = 2…
\(x = 160\)
-
based on the diagrams, which statement is true? the value of x is 79, b…
The value of \(x\) is \(101\), because the two angles shown in the diagram are supplementary.
-
match the following terms about angle relationships to the correct defi…
- Corresponding Angles: Angles in the same relative position; Angles in "matching corners". - Vertical Angles: Pairs of opposite angles formed by intersecting lines. - Linear Pair…
-
charla has six segments with which to make two triangles. the segments …
\(2\) in., \(3\) in., \(4\) in. and \(5\) in., \(6\) in., \(7\) in.
-
complete the homework for the week of november 3rd. homework will be op…
180 degrees
-
mr. anderson is building a triangular - shaped roof for his shed. the t…
\(x>7\) feet
-
determining triangle existence using angle measure under which angle co…
2 acute angles, 1 obtuse angle; 3 acute angles; 2 acute angles, 1 right angle.
-
find qr. write your answer as an integer or as a decimal rounded to the…
\(6.9\)
-
find st. write your answer as an integer or as a decimal rounded to the…
\(2.0\)
-
in the figure below, \\( \\overleftrightarrow { e f } \\) and \\( \\ove…
a. slope of \(\overleftrightarrow{EF}\): \(\frac{IE}{IF}\); slope of \(\overleftrightarrow{GH}\): \(\frac{IG}{IH}\) b. \(\frac{IG}{IH}\) c. slope of \(\overleftrightarrow{EF}=\) s…
-
draw all the lines of symmetry for this shape.
Draw a vertical line passing through the mid - point of the top horizontal part of the "U" - shaped figure. This vertical line is the line of symmetry for the given shape.
-
which angles are vertical to each other? ∠6 and ∠8 ∠6 and ∠5 ∠4 and ∠5 …
\(\angle6\) and \(\angle8\)
-
which angles are congruent to each other?
\(\angle10\) and \(\angle6\)
-
what is the scale factor from the original figure to the scaled copy? 3…
The scale factor is \(3\) and the length of the base in the scaled copy is \(30\) units.
-
what is the scale factor from the original figure to the scaled copy?
\(3\)
-
find the volume of the rectangular prism. write your answer as a whole …
\(\frac{1}{5}\text{ m}^3\)
-
find the volume of the cube. write your answer as a whole number, a pro…
\(\frac{343}{512}\) cubic feet
-
word study: synonyms and antonyms each group of words contains two word…
1. Circle "strengthen" and "atrophy", then circle A. 2. Circle "circumspect" and "audacious", then circle A.
-
a farmer has farmland that is a rectangle 4 km long and 2.5 km wide. he…
(a) \(3.86\) (b) \(5\) (c) \(426.45\)
-
what number can you multiply each length in the scale drawing by to fin…
\(5\)
-
express tan b as a fraction in simplest terms.
\(\frac{3}{4}\)
-
express tan p as a fraction in simplest terms.
\(\frac{15}{29}\)
-
express cos m as a fraction in simplest terms.
\(\frac{3}{5}\)
-
what is the area, in square meters, of the shaded part of the rectangle…
\(30\)
-
find the sine of \\( \\angle y \\). simplify your answer and write it a…
\(\frac{15}{17}\)
-
area of triangle = \\( \\frac { 1 } { 2 } b h \\) what are the actual b…
\(40\)
-
what are the actual base and height of the trampoline? actual base = 10…
Actual base \( = 10\) ft, Actual height \(=12\) ft, Area \( = 60\) \(ft^{2}\)
-
find the tangent of \\( \\angle b \\). simplify your answer and write i…
\(\frac{15}{8}\)
-
area of triangle = \\( \\frac { 1 } { 2 } b h \\) what are the actual b…
Actual base \( = 8\) ft, Actual height \( = 10\) ft
-
which segment is adjacent to \\( \\angle m \\)?
\(JM\) and \(MI\)
-
7. given the parallel lines cut by a transversal, find the value of x: …
B. 12
-
given that parallel lines k and j are cut by transversal l and ∠1 = 140…
B. \(40^{\circ}\)
-
is the area, in square meters, of the isosceles trapezoid below? 18.6 m…
\(100.08\space m^{2}\)
-
question what is the area, in square feet, of the trapezoid below?
\(32.75\) square feet.
-
what is the area, in square feet, of the trapezoid below? answer attemp…
\(104.4\)
-
at is the area, in square feet, of the shaded part of the rectangle bel…
\(159.5\) square feet
-
what is the area, in square feet, of the trapezoid below? 5 ft 5 ft 8.1…
\(32.75\) square feet.
-
1. if g is the circumcenter of (\triangle abc), find each measure. a) (…
a) \(AD = 9\) b) \(FC = 15\) c) \(EB = 9\) d) \(AG=\sqrt{565}\approx23.8\) e) \(EG = 22\)
-
402. a rectangle has an area of 8x + 16 and a perimeter of 2x + 20. det…
The dimensions of the rectangle are \(x + 2\) and \(8\).
-
401. the area of a rectangle is $24w^{2}$ and has a width of $6w$. writ…
\(4w\)
-
find the coordinates of point b such that \\( \\overline { a b } \\) wo…
\(\frac{1}{4}\) of horizontal change: \(2\); \(\frac{1}{4}\) of vertical change: \(-2\)
-
find the coordinates of point b such that \\( \\overline { a b } \\) wo…
\(\frac{1}{4}\) of horizontal change: \(2\); \(\frac{1}{4}\) of vertical change: \(-2\)
-
rebas house is due west of oakdale and due south of richmond. oakdale i…
\(5.8\)
-
three ballet dancers are positioned on stage. cameron is straight behin…
\(6.3\)
-
given: abc is a triangle. prove: bc + ac > ba in triangle abc, we can d…
BC + AC > BA se demuestra usando la propiedad de la distancia más corta (BE y AE) y la sustitución (BE + AE = BA).
-
5. you are visiting washington, d.c. from the american history museum, …
The translation rule is \((x,y)\to(x - 3,y - 1)\) and the total distance moved is \(\sqrt{10}\) blocks.
-
the distance between lincoln, ne, and boulder, co, is about 500 miles. …
\(300\lt d\lt700\)
-
explore forming triangles with different combinations of side lengths. …
No, it is not possible to form a triangle with side lengths \(1\), \(3\), and \(5\) units.