幾何
三角形、円、座標幾何、証明問題。
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what kind of triangle is shown below? ( ) acute ( ) obtuse ( ) right
Obtuse
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can you conclude that $overline{pq}$ and $overline{np}$ are congruent?
yes
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sample response: because vertical angles are congruent, angles 1 and 4 …
- vertical angles theorem - corresponding angles theorem - transitive property
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question 7 (3 points) ∠1 and ∠2 are complementary angles. given the mea…
Blank 1: $38^{\circ}$ Blank 2: $14^{\circ}$ Blank 3: $71^{\circ}$
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use the figure below to identify an obtuse angle. ∠eab ∠bac ∠dae ∠cad
$\angle EAB$
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is $overline{km}$ congruent to $overline{jl}$? -580 -560 -540 -520 -500…
yes
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question 6 (1 point) use the diagram to answer true or false for the fo…
True
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current skill $ what type of angle is this? obtuse right straight acute
B. Right
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a rectangle has a width of 7 and a length of 8. find its area.
56
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question 5 (3 points) use the diagram to fill in the indicated measurem…
Blank 1: 12 Blank 2: $54^{\circ}$ Blank 3: $126^{\circ}$
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use the figure below to identify an acute angle. b a ∠dab ∠dae ∠eac ∠bae
$\angle DAE$
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question 4 (2 points) given: $mangle a=(4x - 2)^{circ}$ and $mangle b=(…
Blank 1: 5 Blank 2: 11
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which of the following is a right angle drawn in the figure below? ∠abc…
∠ABC
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consider parallel lines cut by a transversal. explain which theorems, d…
The vertical - angles definition and the corresponding - angles postulate can be used to prove that alternate exterior angles are congruent.
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which of the following is a right - angle drawn in the figure below? ∠a…
No answer can be provided as the figure is not clear enough to determine which angle is a right - angle. If there was a right - angle symbol (a small square) at the vertex of an a…
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which type of triangle matches the following description? a polygon wit…
B. Right triangle
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refer to the figure for exercises 14 - 16. 14. how many planes are show…
14. 7 15. Face \(ABCD\) 16. No. Points \(H\) and \(E\) are on top - face, \(A\) and \(B\) are on bottom - face, no single plane contains all four.
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which two line segments appear to form an obtuse angle? current skill $…
$\overline{AB}$ and $\overline{CD}$
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refer to the figure for exercises 14 - 16. 14. how many planes are show…
14. Without seeing the figure, unable to give a specific number. 15. Without seeing the figure, unable to determine. 16. Without seeing the figure, unable to determine and explain.
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is $overline{km}$ congruent to $overline{jl}$? j k l m -580 -560 -540 -…
yes
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which of the following sets of numbers could be the lengths of the side…
16, 20, 18; 19, 14, 17; 4, 16, 13
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is $overline{de}$ congruent to $overline{cd}$? c d e -86 -85 -84 -83 -8…
yes
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is the following biconditional true? a triangle is acute if and only if…
no
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find the space inside a rectangle with a width of 5 and a length of 5.
25
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this image has rotational symmetry. what is the smallest number of degr…
90
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which of the following is a line drawn in the figure below?
$\overleftrightarrow{HG}$
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is $overline{st}congoverline{rs}$? yes no
yes
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name homework points, lines, and planes refer to the figure for exercis…
1. C, D 2. J 3. Plane A 4. No, they do not lie on the same flat - surface. 14. 5 15. Side ABCD 16. No, they do not all lie on the same plane.
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is $overline{kl}$ congruent to $overline{lm}$?
no
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51° 57° acute triangle right triangle obtuse triangle
Acute triangle
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is $overline{fh}congoverline{eg}$?
no
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which type of triangle matches the following description? a polygon wit…
Not a triangle
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this image has rotational symmetry. what is the smallest number of degr…
$45$
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are $overline{np}$ and $overline{wx}$ congruent? yes no
no
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calculator what is the measure of an exterior angle of a regular octago…
$45$
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calculator what is the value of x? enter your answer in the box. x =
$127$
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what is the sum of the measures of the exterior angles of a pentagon? e…
360
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what is the measure of each interior angle of a regular pentagon? enter…
$108$
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what is the sum of the measures of the interior angles of an octagon? e…
$1080$
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can you conclude that $overline{kn}$ and $overline{np}$ are congruent?
no
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step 1 plot two points and a and c. connect the points step 2 plot poin…
The blanks are filled as follows: $4x - 12=\underline{3}x + 3$ $x - 12=\underline{3}$ $x=\underline{15}$ $BC = 2(\underline{15})+3$ $BC=\underline{33}$
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check find the measure of aq. round your answer to the nearest tenth, i…
In the equation \(4x - 12=x + 2x+3\), the blanks are filled as follows: - \(4x - 12 = 3x+3\), so the first blank is \(3\). - \(x - 12=3\), so the second blank is \(3\). - \(x = 15…
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what is the approximate area of the circle shown below? a. 278 cm² b. 2…
C. $59\ cm^{2}$
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what is the approximate area of the circle shown below? 14 cm c a. 44 c…
C. $154\ cm^{2}$
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question 7 of 10 what is the approximate area of the circle shown below…
B. $2827\ cm^{2}$
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question 6 of 10 what is the approximate area of the circle shown below…
A. $43\ ft^{2}$
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d. you have been asked to design a four - man a - frame tent. draw a ro…
A 3 - D diagram of a rectangular room with length 12 ft, width 10 ft and height 8 ft, having a 2.5 ft by 6.5 ft door on a 10 - ft wall and two 4 ft by 4 ft windows, one on a 12 - …
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question 5 of 10 what is the approximate area of a circle with a radius…
C. $380\ m^{2}$
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this image has rotational symmetry. what is the smallest number of degr…
$90^{\circ}$
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question 4 of 10 what is the formula for the area of a circle? a. a = π…
D. $A = \pi r^{2}$
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question 3 of 10 what is the approximate area of the circle shown below…
A. $962\ m^{2}$
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question 2 of 10 what is the approximate area of a circle with a diamet…
A. 154 in²
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question 1 of 10 if a circle has a diameter of 24 inches, which express…
D. $12^{2}\cdot\pi$
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identify the following composition transformation mapping: (x,y)→(−x,−y…
Option #4: rotate 180 degrees, then up 5
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the m∠6=(11x + 8)° and m∠7=(12x - 4)°. what is the measure of ∠4? o m∠4…
$m\angle4 = 140^{\circ}$
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if a figure needs to be reflected across the x - axis and is translated…
Option #1: $(x,y)\to(x,-y - 3)$
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g is a point on segment $overline{fh}$. if $fg = x - 8$, $gh = 15$, and…
11
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select the correct answer. in the figure, angle c measures 83°, angle f…
C. 51°
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2.) draw the 6th figure.
Draw a vertical stack of 6 squares with a horizontal row of 5 squares attached to the bottom - right of the vertical stack.
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angle bad and angle mat are shown below. what is the difference between…
$35$
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on a line segment, k is between j and l. if jk = x + 9, kl = 11, and jl…
21
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samantha determined that trapezoid (abcdcong abcd). which of the follow…
Statement #1. Verify that $ABCD\cong A'B'C'D'$ using the mapping equation for the translation $A(x,y)\to A(x + 8,y)$
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angle bad and angle mat are shown below. what is the difference between…
80 degrees
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what is the coordinate of the midpoint of $overline{mn}$? write your an…
4
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△abc was transformed into △def. determine which statement about this tr…
Statement #1 is correct.
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if jk = 2x, kl = 17, and jl = 4x - 3, what is jk? simplify your answer …
20
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a graphic designer wants to translate rectangle defg using t - 1,2(x,y)…
The new - coordinates of the rectangle D'E'F'G' have vertices D'(-2,5), E'(3,5), F'(3,3), G'(-2,3). (Since no specific multiple - choice options are given, this is the general res…
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in the diagram below, m∠cih = 100° and m∠bgd = 43°. find m∠ahf.
$57^{\circ}$
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what is the coordinate of the midpoint of tu? write your answer as an i…
\(57.5\)
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what is the coordinate of the midpoint of $overline{qr}$? write your an…
5
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maria determined that △abc is congruent with △abc because it was rotate…
B. No. $\triangle ABC$ is congruent with $\triangle A'B'C'$, but it was rotated 90° (counterclockwise), not 270°
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if de = 2x, ef = x + 6, and df = 4x + 1, what is de? simplify your answ…
10
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what is the coordinate of the midpoint of (overline{gh})? write your an…
$6$
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3 select the correct answer from each drop - down menu. in this figure,…
First drop - down: \(\overline{EF}\); Second drop - down: \(a\)
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if ef = 18, fg = 7x, and eg = 12x - 2, what is fg? simplify your answer…
28
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what is the coordinate of the midpoint of $overline{jk}$? write your an…
4
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if fg = 13x - 6, gh = 7x + 12, and fh = 19x + 16, what is fh? simplify …
$206$
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select the correct answer. in the figure, angle a measures 41° and angl…
C. $99^{\circ}$
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is the following conditional true? if two line segments have the same l…
yes
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two parallel lines are crossed by a transversal. what is the value of y…
D. \(y = 130\)
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select the correct answer. in the figure, angle e measures 30°, angle f…
B. 66°
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identify the sequence of transformations that will carry △abc→△abc. giv…
\((x,y)\to(x + 4,-y)\)
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if (pq = 2x), (qr=x + 1), and (pr = 10), what is (pq)? simplify your an…
6
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if (kl = 5), (lm = 3x), and (km = 4x), what is (lm)? simplify your answ…
15
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△abc is mapped to △abc using each of the given rules. which rules would…
Congruent: $(x,y)\to(x + 3,y - 4)$, $(x,y)\to(-x,-y)$ Not Congruent: $(x,y)\to(3x,3y)$, $(x,y)\to(0.4x,0.4y)$, $(x,y)\to(\frac{x}{3},\frac{y}{3})$
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two legs of a right triangle are q and r. the hypotenuse is s. solve fo…
$\sqrt{s^2 - r^2}$
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identify a sequence of rigid transformations that would map abcd → abcd…
\((x,y)\to(-x - 4,y)\)
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if st = 3x, tu = 4, and su = 5x, what is st? simplify your answer and w…
6
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is the following conditional true? if a quadrilateral has two pairs of …
no
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if fg = 10 and gh = 12, what is fh? write your answer as a decimal or i…
22
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determine the congruence transformation used on △abc that resulted in △…
$\triangle ABC$ was reflected across the y - axis, then shifted 2 units to the right and 2 units up.
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if fg = 10 and gh = 12, what is fh? write your answer as a decimal or i…
22
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if st = 2 and tu = 3, what is su? write your answer as a decimal or int…
5
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problem 21: (first taught in lesson 16) the difference between the meas…
69, 111
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in the diagram below, m∠cih = 100° and m∠bgd = 43°. find m∠ahf. step an…
$57^{\circ}$
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if tu = 6 and tv = 20, what is uv? write your answer as a decimal or in…
14
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find the distance between (-2,-3) and (-2,4).
7
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problem 20: (first taught in lesson 16) a supplement of an angle is twi…
$60^{\circ}$
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is the following conditional true? if a triangle is isosceles, then it …
yes
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problem 19: (first taught in lesson 12) if $overrightarrow{oj}$ bisects…
57