幾何
三角形、円、座標幾何、証明問題。
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unit 1 do nows do now 1 - 1.1 function basics 1) in which quadrant do l…
B. Quadrant II ### 2. Translation and reflection of a point
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identify two segments that are marked congruent to each other on the di…
$\overline{SR}$ is congruent to $\overline{UV}$
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use the triangle shown to answer the question. what is the length of $o…
C. 10
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identify two segments that are marked congruent to each other on the di…
$SR$ is congruent to $UV$
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example 2: calculate the measure of angle bac to the nearest degree.
\(67^{\circ}\)
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kuta software - infinite geometry naming angles name the vertex and sid…
1. Vertex: \(M\), Sides: \(\overrightarrow{MN}\), \(\overrightarrow{ML}\), Four - way naming: \(\angle M\), \(\angle NML\), \(\angle LMN\) 2. Vertex: \(D\), Sides: \(\overrightarr…
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complete the following proof by filling in the blanks. given: ∠1≅∠6, pr…
3) $\angle1\cong\angle3$; 4) Given; 5) Transitive property of congruence
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excerpt from the story - book of science by jean henri fabre uncle paul…
D. They convey the idea that the way trees mark the years is fascinating.
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in the figure below, the measure of ∠1 = 5x°, the measure of ∠2 = y°, a…
$x = 16$, $y = 100$
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question 6 of 24 resolve the vector shown below into its components. a.…
B. $\vec{s}=3\vec{x} + 2\vec{y}$
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question 5 of 24 look at the figure below and calculate the length of s…
B. 8.5
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in the figure below, the measure of ∠1 = 5x°, the measure of ∠2 = y°, a…
16
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identify two angles that are marked congruent to each other on the diag…
$\angle G$ is congruent to $\angle D$
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question 1 of 24 which vector goes from (1, 1) to (0, 2)? a. b b. d c. …
D. c
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question the measures of the angles of a triangle are shown in the figu…
$22^{\circ}$
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the measures of the angles of a triangle are shown in the figure below.…
$x = 59$
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the length of the base of an isosceles triangle is 30.54 inches. each b…
$17.74$
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the measures of the angles of a triangle are shown in the figure below.…
65
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line segment ts is tangent to circle o at point n. if the measure of ∠q…
$212^{\circ}$
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given: circle m with inscribed ∠kjl and congruent radii jm and ml. prov…
second corollary to the inscribed angles theorem
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look at the angle name this angle in three different ways: and and
$\angle F$, $\angle CFH$, $\angle HFC$
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ch. 2.5 & 2.6 - postulates & algebraic proofs - practice match the give…
1. Definition of Midpoint 2. Symmetric Property 3. Addition Postulate 4. Transitive Property 5. Definition of Congruence 6. None of the given (as the statement is wrong about perp…
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question 10 8.g.a.5 what is the better definition of an interior angle?…
An angle inside a shape.
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question 9 triangle abc, shown in the diagram below, is an isosceles tr…
C. 80°
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find the terminal point $p(x, y)$ on the unit circle determined by the …
$(0,-1)$
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given: circle o with diameter ln and inscribed angle lmn. prove: ∠lmn i…
The measure of an inscribed angle is half the measure of its intercepted arc.
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question solve the inequality and graph the solution on the line provid…
Inequality Notation: $x>4$ Number Line: An open - circle at 4 and a line extending to the right.
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triangle abc, shown in the diagram below, is an isosceles triangle wher…
E. $57^{\circ}$
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identify two angles that are marked congruent to each other on the diag…
(Without seeing the full - clarity of the diagram and assuming the arcs are the congruence indicators, if one of the angles is ∠BCI, find the other angle with the same number of a…
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triangle abc, shown in the diagram below, is an isosceles triangle. if …
B. $42.5^{\circ}$
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solve the inequality and graph the solution on the line provided. -3x +…
Inequality Notation: $x>1$ Number Line: Draw a number - line. Mark a open circle at 1 (because $x$ is strictly greater than 1, not equal to 1) and draw an arrow to the right of 1 …
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what is the measure, in degrees, of ∠abc? 155° 77.5° 65° 25° 90°
C. $25^{\circ}$
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find the terminal point p(x, y) on the unit circle determined by the gi…
$(\frac{1}{2},-\frac{\sqrt{3}}{2})$
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what is the measure of arc ab in circle f? 72°, 148°, 92°, 200°
200°
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identify two angles that are marked congruent to each other on the diag…
∠IMJ is congruent to ∠JLK
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what is the measure of eab in circle f? 72° 148° 92° 200°
# Explanation: ## Step1: Recall the property of a cyclic - quadrilateral The sum of opposite angles in a cyclic - quadrilateral is 180°. In cyclic - quadrilateral EBCD, ∠E + ∠C=18…
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cool down 2.4 connect the dots write a congruence statement for each pa…
1. $\text{LMNOP}\cong\text{AYHFS}$ 2. $\text{DEFC}\cong\text{XUVW}$ 3. $\text{OMN}\cong\text{TUE}$
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question 5 triangle abc, shown in the diagram below, is an isosceles tr…
C. $65^{\circ}$
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what is the measure of arc eab in circle f? 72° 148° 92° 200°
200°
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solve the inequality and graph the solution on the line provided. -8 + …
Inequality Notation: $x>-8$ Number Line: Draw a number - line. Mark a open circle at - 8 (because the inequality is strict, i.e., $x$ is greater than - 8, not greater than or equa…
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question 4 triangle abc, shown in the diagram below, is an isosceles tr…
C. $65^{\circ}$
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what is the measure of eab in circle f? 72° 148° 92° 200°
200°
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question 3 1 pts 8.g.a.5 what is the better definition of an exterior a…
The angle between any side of a polygon and an extended adjacent side.
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angle bac measures 56°. what is the measure of angle bdc? 112° 84° 28° …
$56^{\circ}$
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20. a builder needs to tile a 7 - foot - by - 8 - foot room with one - …
56
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find the terminal point (p(x,y)) on the unit circle determined by the g…
\((0,-1)\)
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line segment bd is a diameter of circle e. what is the measure of arc b…
78°
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18. a glass company is to make a panel of glass for a front door. what …
$2400$ $cm^{2}$
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line segment gj is a diameter of circle l. angle k measures (4z + 6)°. …
21
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line segment gj is a diameter of circle l. angle k measures (4x + 6)°. …
C. 21
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2 - 8. find the area of each rectangle below. 2 - 9. wei puts the shape…
2 - 8: Use $A = l\times w$ to calculate rectangle areas. 2 - 9 a: $\frac{1}{2}$ 2 - 9 b: $\frac{2}{3}$ 2 - 10 a: Isosceles triangle 2 - 10 b: Equilateral triangle 2 - 10 c: Parall…
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triangle abc, shown in the diagram below, is an isosceles triangle wher…
C. $50^{\circ}$
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what is the measure of angle cab in circle o? 24° 48° 96° 72°
$24^{\circ}$
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question solve the inequality and graph the solution on the line provid…
Inequality Notation: $x\geq7$ Number - Line: The number line should have a closed - circle at 7 (because the inequality includes equality, i.e., $\geq$) and an arrow pointing to t…
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identify two segments that are marked congruent to each other on the di…
Segment YZ is congruent to segment WZ
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3. give parametrizations for the following: (a) a line passing through …
(a) The parametric equations of the line are $x = 3t$, $y = 2-3t$, $z = 4-10t$, $t\in R$. (b) The parametric equations of the circle are $x = 2+5\cos t$, $y = 4+5\sin t$, $z=-3$, …
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find the missing coordinate of p, using the fact that p lies on the uni…
$\frac{\sqrt{15}}{4}$
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select the correct answer. which type of figurative language is used in…
C. simile
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angles ptq and str are vertical angles and congruent. which arcs are co…
\(\overset{\frown}{PQ}\) and \(\overset{\frown}{SR}\)
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show that the point is on the unit circle. (3/5, - 4/5) we need to show…
We need to show that the point satisfies the equation of the unit circle, that is, $x^{2}+y^{2}=1$. $x^{2}+y^{2}=(\frac{3}{5})^{2}+(-\frac{4}{5})^{2}$ $=\frac{9}{25}+\frac{16}{25}…
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pq is tangent to ⊙n at point m. determine m∠p and m∠q. enter your answe…
$m\angle P = 26^{\circ}$ $m\angle Q = 54^{\circ}$
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find the complement and the supplement of the given angle. 38°. the com…
The complement of the angle is 52°. The supplement of the angle is 142°.
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qr is tangent to circle p at point q. what is the approximate length of…
6.1 units
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(a) if we mark off a distance t along the unit circle, starting at (1, …
$\frac{\pi}{2}:(0,1)$ $\pi:(-1,0)$ $-\frac{\pi}{2}:(0, - 1)$ $2\pi:(1,0)$
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find one solution for the equation. assume that all angles involved are…
$25$
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what is true regarding two adjacent arcs created by two intersecting di…
The sum of their measures is 180°.
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triangle jkl is equilateral. one side of the triangle, jl, is a diamete…
Both segments are chords in circle M but are not tangents.
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what must be the length of zy in order for zy to be tangent to circle x…
15 units
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(a) the unit circle is the circle centered at (0,0) with radius 1. (b) …
(i) $0$ (ii) $0$ (iii) $0$ (iv) $0$
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circle t has diameters $overline{rp}$ and $overline{qs}$. the measure o…
$96^{\circ}$
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qr is tangent to circle p at point q. what is the measure of angle r? 9…
$37^{\circ}$
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fh is tangent to circle g at point f. what is the length of the radius,…
12 units
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in ⊙p, central angles ∠jpk ≅ ∠lpm, and point n divides the chord lm int…
4
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find and graph the solution: 22) 2x - 3 < -5 or 3x - 10 > x
The solution is $x<-1$ or $x>5$. On a number - line, we have an open circle at $x = - 1$ and shade to the left, and an open circle at $x = 5$ and shade to the right.
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suppose abc is a right triangle with sides a, b, and c and right angle …
The unknown side length \(b\) is \(4\sqrt{2}\) \(\sin B=\frac{4\sqrt{2}}{9}\) \(\cos B=\frac{7}{9}\) \(\tan B=\frac{4\sqrt{2}}{7}\) \(\sec B=\frac{9}{7}\) \(\csc B=\frac{9\sqrt{2}…
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section 1.1 i can describe a point, line, and plane, & define and name …
1. $\overleftrightarrow{JL}$ 2. $\overleftrightarrow{KI}$ 3. Plane $M$ 4. $G$, $H$, $I$ 5. $\overline{JK}$, $\overline{KL}$, $\overline{KI}$
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section 1.2 i can use the segment addition postulate. 6. point l is on …
$x = 4$, $LM=12$, $KL = 8$, $KM=20$
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identify the quadrant or quadrants for the angles satisfying the follow…
3
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lk is tangent to circle j at point k. what is the length of the radius?…
$\frac{85}{12}$
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i can find the distance between two given points. find the distance bet…
$2\sqrt{26}$
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for questions 9 - 11, find the values of x and y if l || m. 9. (10x - 1…
Question 9: \(x = 9\), \(y = 13\) Question 10: \(x = 22\), \(y = 15\) Question 11: \(x = 7\), \(y = 24\)
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find the missing endpoint given point a and midpoint m 8. a(2, 5) and m…
$(4,3)$
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in $odot h$, $overset{\frown}{ik}congoverset{\frown}{jk}$, $moverset{\f…
$202$
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modern algebra 2 unit 1 review day 1 name:may ado determine which trig …
5. $\theta\approx65.38^{\circ}$ 6. $\theta\approx51.32^{\circ}$ 7. $\theta\approx28.96^{\circ}$ 8. $\theta\approx39.54^{\circ}$
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circle a is congruent to circle j. chords bc, cp, eg, kl, lo, and mp ar…
A. $\overset{\frown}{EG}\cong\overset{\frown}{KL}$ B. $\overset{\frown}{BC}\cong\overset{\frown}{MP}$ C. $\overset{\frown}{LO}\cong\overset{\frown}{MP}$
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ab is tangent to ⊙c at point b and ad is tangent to ⊙c at point d. what…
$56^{\circ}$
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the terminal side of an angle θ in standard position passes through the…
$-\frac{5\sqrt{34}}{34}$
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ln is tangent to circle o at point m and qm is a diameter. determine th…
The measure of \(\angle QML\) is \(48\) degrees. The measure of \(\angle PMN\) is \(63\) degrees.
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i can describe a point, line, and plane, & define and name segments and…
1. $\overleftrightarrow{JL}$ (assuming the line passing through $J$ and $L$ also contains $L$) 2. $\overleftrightarrow{KI}$ (assuming line $b$ is the line passing through $K$ and …
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for what angles θ between 0° and 360° is cos θ = sin θ true? the angle …
45,225
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what is the distance between points (1,2) and (4,-5)?
$\sqrt{58}$
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in circle q, ∠rqs≅∠sqt. which statement must be true? rs≅st ∠rqt≅∠rst r…
\(\overset{\frown}{RS}\cong\overset{\frown}{ST}\)
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section 1 1 i can describe a point, line, and plane, & define and name …
1. $\overleftrightarrow{KL}$ (assuming there is a line passing through K and L that contains point L) 2. $\overleftrightarrow{KI}$ (assuming line b is the line passing through K a…
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2. what is the distance between points (1,2) and (4,-5)?
$\sqrt{58}$
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finding the length of a chord. circle j is congruent to circle p. if ok…
9
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what value of x would make $overleftrightarrow{rq}$ tangent to circle p…
$6$
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section 1.2 i can use the segment addition postulate. 6. point l is on …
$x = 4$ $LM=12$ $KL = 8$ $KM=20$
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solve for m∠cdf if m∠cde = 76° and m∠fde = 43°.
$33^{\circ}$
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solve for m∠nop. answer attempt 1 out of 2 m∠nop =
101
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solve for m∠stv. answer attempt 1 out of 2 m∠stv =
$57$