Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
-
the radius, r, of a sphere is 9.8 cm. calculate the spheres volume, v. …
\(3940.5\)
-
find the measure of the missing angles. answer attempt 1 out of 3 $x=\\…
\( x = 52^{\circ}\), \( y = 52^{\circ}\)
-
the diameter of a cylindrical water tank is 13 ft, and its height is 15…
\(1990\)
-
the diameter of a cylindrical water tank is 13 ft, and its height is 15…
\(1985\) ft³
-
find the perimeter of the rectangle. include the unit. 21 in 25 in
92 in
-
find the perimeter of the square. include the unit.
76 ft
-
find the area of the rectangle. 8 cm 30 cm calculate 6 ×
\(240\) square centimeters
-
find the area of the rectangle. 26 yd 7 yd square yards
182
-
write an equation of a parabola that opens down, with the given focus a…
\(y=-\frac{1}{8}x^{2}-1\)
-
write an equation of a parabola that opens up, with the given focus and…
\(y=\frac{1}{6}x^{2}+\frac{1}{2}\)
-
a frame shop charges according to both the amount of framing needed to …
a. The area of the picture is \(348\) square inches and the perimeter is \(88\) inches. b. The frame has to do with perimeter and the glass has to do with area.
-
find the measure of \\( \\angle m p q \\).
\(132\)
-
find the measure of \\( \\angle m p q \\). \\( m \\angle m p q= \\) \\(…
\(128\)
-
solve for x. x =
\(25\)
-
∠eif ≅ ∠fig. complete the proof that ↔{fh} ⊥ ↔{eg}.
2. Definition of supplementary angles; 3. Substitution property of equality; 5. Definition of perpendicular lines.
-
∠r and ∠s are supplementary and ∠t and ∠r are supplementary. complete t…
3. Definition of supplementary angles; 4. Definition of supplementary angles; 7. Definition of congruent angles.
-
st ⊥ tu and vw ⊥ wx. complete the proof that ∠vwx ≅ ∠stu. 1 st ⊥ tu giv…
Definition of congruent angles (If two angles have equal measures, then the angles are congruent)
-
∠g and ∠i are complementary and ∠h and ∠g are complementary. complete t…
Definition of complementary angles
-
complete the proof that \\( \\angle vzw \\cong \\angle xzy \\). | state…
Angles forming a linear pair sum to \(180^{\circ}\)
-
how many lines of symmetry does this regular polygon have?
6
-
find the perimeter of the rectangle. include the unit. 17 ft 22 ft
\(78\) ft
-
for each pair of figures below, choose how they are related.
First pair: Translation; Second pair: Translation; Third pair: Rotation; Fourth pair: Reflection.
-
how many lines of symmetry does this shape have?
1
-
how many lines of symmetry does this shape have?
\(1\)
-
for each graph, decide if the two lines are parallel, perpendicular, or…
Graph 1: Parallel; Graph 2: Neither; Graph 3: Neither; Graph 4: Perpendicular
-
how many lines of symmetry does this rectangle have?
2
-
is the dotted line a line of symmetry?
no
-
in the figure, ( mangle3 = 75^{circ} ) and ( mangle10 = 105^{circ} ). f…
\(75^{\circ}\)
-
lesson 1.1 common and proper nouns use only the proper nouns from the w…
**Paragraph Completion**: On warm, sunny days. I love to sit outside. My dog \( \text{Pip} \) likes to join me. Sometimes I'll bring a book out to read, like \( \text{The Maze Run…
-
lesson 1.1 common and proper nouns use only the proper nouns from the w…
On warm, sunny days. I love to sit outside. My dog Pip likes to join me. Sometimes I'll bring a book out to read, like The Maze Runner. But it can be hard to read if my neighbor, …
-
select the dependent clause. after francis scott key witnessed an inten…
After Francis Scott Key witnessed an intense British attack on Fort McHenry during the War of 1812
-
lesson 1.1 common and proper nouns use only the proper nouns from the w…
1. Pip 2. The Maze Runner 3. Dugan 4. Venus 5. Little Dipper 6. Utah (assuming the national - park context) 7. Sunday For the sentence: "I would like to visit Rome with my cousin …
-
combine like terms. write the answer in correct standard form. then lis…
degree = \(3\), circle \(T\)
-
which rotation is shown in the coordinate plane? 180° counterclockwise …
180° counterclockwise (since 180° clockwise and 180° counter - clockwise give the same result for point rotation \((x,y)\to(-x,-y)\) in terms of the final position of the figure i…
-
what are the coordinates of point p and point p?
\(P(1,-1)\)
-
△vwz is rotated 90° counterclockwise around the origin to form △vwz. 90…
\((-8,-6)\)
-
which coordinate is the same as the x - coordinate of point g? opposite…
The \(y\) - coordinate of \(G'\) is the same as the \(x\) - coordinate of \(G\).
-
which coordinate is the same as the x - coordinate of point g? g(-2,4) …
A. Opposite of \( y \)-coordinate of point \( G \)
-
△fgh is rotated 90° counterclockwise around the origin to form △fgh. wh…
\(G(-2,-4)\), \(G'(4,-2)\)
-
▶stu is rotated 90° clockwise around the origin to form ▶stu. 90° clock…
\((5, -7)\)
-
△abc is rotated 90° clockwise around the origin to form △abc. which coo…
B. \(y\) - coordinate of point \(A\)
-
reasoning 7. line ( m ) is shown below with an arbitrary point ( a ) ma…
(a) Locate \(A'\) by extending \(AC\) such that \(CA' = CA\). (b) Points \(A\), \(C\), and \(A'\) are collinear and \(C\) is the mid - point of \(AA'\). (c) No. If \(A'\) were on …
-
applications 6. a truss is a collection of beams connected at their end…
(a) The angles with \(58^{\circ}\) measure are \(\angle ADB\), \(\angle DBE\), \(\angle BEC\). (b) The line segments \(AD\), \(BE\), \(CE\) have the same length as \(BD\).
-
5. on circle c shown below, the points g, u, i, t, a, and r are spaced …
\(60^{\circ}\) ### (b)
-
the graph shows a parabola and its focus. write the equation of the par…
\(y^{2}=4x\)
-
write the equation in vertex form for the parabola with vertex (-2, 0) …
\(y^{2}=32(x + 2)\)
-
write the equation in vertex form for the parabola with focus (0, -9) a…
\(y=-\frac{1}{16}x^{2}-5\)
-
write the equation in vertex form for the parabola with vertex (2, 0) a…
\(y^{2}=-24(x - 2)\)
-
write the equation in vertex form for the parabola with vertex (2, 0) a…
\(y^{2}=-24(x - 2)\)
-
fluency 1. given the circle centered at c shown below and marked point …
- **Question 2**: 1. they are the same length - **Question 3**: 3. \(G\), \(H\), and \(M\) are collinear - **Question 4**: 4. a rotation of \(292^{\circ}\)
-
graph the compound inequality on the number line. $x < - 3$ or $x > 0$
On the number - line, there is an open circle at \(x=-3\) with an arrow to the left and an open circle at \(x = 0\) with an arrow to the right.
-
the transformation we saw in both exercises #1 and #2 are known as rota…
(a) \(149^{\circ}\) clockwise and \(211^{\circ}\) counter - clockwise rotations map \(E\) to \(G\) (b) \(90^{\circ}\) clockwise and \(216^{\circ}\) counter - clockwise rotations m…
-
reasoning 8. a transformation that is a rigid body motion maps \\( \\tr…
\(\triangle GHI\) must be the same size and shape as \(\triangle ABC\) because rigid - body motions preserve size and shape, and by the transitive property of congruence (\(\trian…
-
select an appropriate function to find the angle indicated (round to 10…
43. \(\theta\approx18.4^{\circ}\) 44. \(\beta\approx21.3^{\circ}\)
-
the triangles below are congruent and their corresponding parts are mar…
(a) $\angle A\cong\angle Z$, $\angle B\cong\angle Y$, $\angle C\cong\angle X$ (b) $\overline{AB}\cong\overline{ZY}$, $\overline{AC}\cong\overline{XZ}$, $\overline{BC}\cong\overlin…
-
for the purpose of purchasing new baseboard and carpet, complete parts …
a. The area of the room is \(84\) square feet and the perimeter is \(37\) feet. b. Baseboard has to do with perimeter. Carpet has to do with area.
-
substitute the given values into the given formula and solve for the un…
\(18\)
-
the flag of a country contains an isosceles triangle. (recall that an i…
The first angle is \(30^{\circ}\), the second angle is \(30^{\circ}\), and the third angle is \(120^{\circ}\).
-
he was most fifty, and he looked it. his hair was long and tangled and …
It helps the reader see Huck's father through Huck's eyes.
-
what is the included angle between sides ab and ac in △abc? a. ∠bac b. …
a. \(\angle BAC\)
-
which of the following is not sufficient to prove two triangles are con…
A. \(AB = DE, BC = DF, AC = EF\) where sides don't correspond
-
triangle pqr has sides pq = 9, pr = 12, and qr = 15. for triangle xyz t…
c. \(XY = 9\), \(XZ = 12\), \(YZ = 15\)
-
8.7.2 trigonometric ratios in special triangles. suppose that the earth…
1. $768.18$ million miles 2. $775.00$ million miles
-
1) what is α? degrees 2) what is x? feet 3) what is z? hint do not use …
1. \( 37\) degrees 2. \( 5.25\) feet 3. \( 8.75\) feet
-
consider the following. find an equation of the parabola. find the focu…
- Equation of the parabola: \(y^{2}=-4x\) - Focus: \((x,y)=(-1,0)\) - Directrix: \(x = 1\)
-
warm-up what are the side lengths of triangle abc? type the correct ans…
\(AB\approx4.2\) units, \(BC = 10\) units, \(AC\approx11.4\) units
-
triangle z is a scaled copy of triangle y. what scale factor takes tria…
\(0.9\)
-
triangle k is a scaled copy of triangle j. what is the value of m?
\(73\)
-
triangle k is a scaled copy of triangle 1. what is the value of m?
\(m = 11\)
-
what scale factor takes hexagon j to hexagon k?hexagon jhexagon khexago…
The scale factor is \(2.5\)
-
what is the value of t? polygon r polygon s polygon s is a scaled copy …
\(8\)
-
quadrilateral r is a scaled copy of quadrilateral q. what scale factor …
\(3\)
-
what scale factor takes polygon c to polygon d? polygon d is a scaled c…
The scale factor is \(\frac{5}{8}\)
-
what scale factor takes quadrilateral j to quadrilateral k? quadrilater…
\(\frac{4}{5}\)
-
what is the value of p? triangle n triangle o is a scaled copy of trian…
$4\frac{31}{50}$
-
what is the value of j? hexagon k hexagon l is a scaled copy of hexagon…
\(3.3\)
-
what is the value of t? polygon r polygon s is a scaled copy of polygon…
\(t = 7.2\)
-
polygon ii is a scaled copy of polygon i. what is the value of m?
\(9\)
-
what is the value of z? quadrilateral y is a scaled copy of quadrilater…
\(78\)
-
select the correct answer. based on the construction shown, what is the…
C. Keep the string length and draw an arc centered at point \(B\) that crosses the other arc in two places.
-
what is the value of h? trapezoid f trapezoid g is a scaled copy of tra…
\(35\)
-
what scale factor takes square b to square c? square b square c square …
\(1.4\)
-
a. $a = \\frac { 1 } { 2 } ( y _ { 3 } - y _ { 2 } ) ( x _ { 3 } - x _ …
D. \(A=\frac{1}{2}(y_2 - y_1)(x_3 - x_1)\)
-
what is the value of w?
\(101\)
-
in the figure, line a and line b are parallel. based on the figure, mat…
# Explanation: ## Step1: Use vertical angles property Vertical angles are congruent. So, \(\angle1\cong\angle3\), \(\angle2\cong\angle4\), \(\angle5\cong\angle7\), \(\angle6\cong\…
-
which angle is congruent to ∠3?
∠5
-
which angle is congruent to ∠1? ∠6 ∠2 ∠3 ∠4
∠3
-
which angle is congruent to ∠3?
∠6
-
find the perimeter of the figure below, composed of a parallelogram and…
\( 36.6 \)
-
find the perimeter of the figure below, composed of an isoceles trapezo…
\( 61.7 \)
-
find the perimeter of the figure below, composed of an isoceles trapezo…
\(25.1\)
-
find the perimeter of the figure below, composed of an isoceles trapezo…
\(27.1\)
-
find the perimeter of the figure below, composed of a parallelogram and…
\(63.7\)
-
find the measure of a single exterior angle of the regular polygon show…
\(40\)
-
the measures of the exterior angles of a triangle are (5x^{circ}), (9x^…
\(75\)
-
20: sum of angle measures: 180°
\(x = 25\)
-
29. are the lines in the graph parallel perpendicular neither
Perpendicular
-
28. are the lines in the graph parallel perpendicular neither
Parallel
-
27. are the lines in the graph parallel perpendicular neither
Parallel
-
26. what will be the slope of a line, which is perpendicular to a verti…
0