Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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find the area of the figure below, formed from a triangle and a paralle…
32 square millimeters
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identify the elements of notation a -ve ma - ri - a, gra - ti - a pla -…
1. Follow the instruction to circle the clef. 2. Follow the instruction to place a check - mark above phrase ends. 3. Follow the instruction to place a star if melismatic. 4. Foll…
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9. you are hanging four championship banners on a beam across your scho…
d. 20 ft ### 10.
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use the following diagram to state if the following are true in problem…
1. b. No 2. b. No 3. a. Yes 4. a. Yes 5. a. Yes 6. b. No 7. a. Yes 8. b. No
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which value of x would make △suv≅△tuw by hl? 2 3 4 5 2x + 9 4x - 1
5
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which explains whether △fgh is congruent to △fjh? they are congruent be…
They are not congruent because only two pairs of corresponding sides are congruent.
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give the center and radius of the circle described by the equation and …
Center: $(3,1)$; Radius: $5$; Domain: $[-2,8]$; Range: $[-4,6]$
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the triangles are congruent by the sss congruence theorem. which rigid …
rotation, then translation
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the triangles are congruent by the sss congruence theorem. which transf…
translation, then reflection
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warm up 4 translate the point (0, 9) along the vector <5, -3>
$(5,6)$
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triangles abc and def have the following characteristics: ∠b and ∠e are…
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the triangles shown are congruent by the sss congruence theorem. the di…
translation, then rotation, then reflection
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the triangles are congruent by sss and hl. which transformation(s) can …
reflection, then translation
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given: ∠bcd is right; bc≅dc; df≅bf; fa≅fe. which relationships in the d…
\(\triangle CBF\cong\triangle CDF\) by SSS, \(\triangle BFA\cong\triangle DFE\) by SAS
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the triangles are congruent by sss or hl. the diagram shows the sequenc…
rotation, then reflection, then translation
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circle a vertex in each figure below. 1. 2. 3. draw the line of symmetr…
For circling vertices: Circle any corner point of the triangle, the vertex of the parabola - like figure, and the intersection point of the V - shaped figure. For drawing lines of…
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for the triangles to be congruent by hl, what must be the value of x? 2…
4
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given: ∠bcd is right, bc ≅ dc, df ≅ bf, fa ≅ fe. which relationships in…
# Ex[SSE Completed, Client Connection Error][SSE Completed, Client Connection Error][LLM SSE On Failure]
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4. determine the mid - point coordinates and the length of each line se…
For \(G(-2,4)\) and \(H(6,4)\): Mid - point \((2,4)\), Length \(8\); For \(I(-2,-5)\) and \(J(3,1)\): Mid - point \((\frac{1}{2},-2)\), Length \(\sqrt{61}\); For \(K(4,-2)\) and \…
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triangle abc is congruent to △abc by the hl theorem. what single rigid …
B. reflection
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given: ∠bcd is right, bc≅dc; df≅bf; fa≅fe. which relationships in the d…
\(\triangle CBF\cong\triangle CDF\) by SSS
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question list find the perimeter of the figure shown to the right. the …
$116$ mi
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directions: follow each of the directions and write your own sentences …
1. The book is on the table. 2. Tom reads a magazine. 3. Mary goes to the park with a ball. 4. The pen, paper and eraser are on the desk. 5. The library and the store near the sch…
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ab ≅ bc and ad ≅ cd. what additional information would make it immediat…
1. \(\angle AXB=\angle CXB = 90^{\circ}\) 2. \(AX\cong CX\)
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the two triangles created by the diagonal of the parallelogram are cong…
reflection
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give the center and radius of the circle described by the equation and …
Center: $(-1,0)$; Radius: $4$; Domain: $[-5,3]$; Range: $[-4,4]$
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the four - sided geometric figure pictured is called a parallelogram. o…
The triangles can be proven congruent using SSS.
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10 in the following diagram, the lines ab and pq are parallel to each o…
\(x = \frac{137}{3}\)
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isosceles triangle abc is folded along bm with m chosen in such a way t…
1. AM and CM 2. BM and BM 3. AB and CB
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m is the midpoint of $overline{ad}$. what value of $x$ will make triang…
7
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for questions 1 to 3, choose the correct answer. 1. the mid - point of …
1. C. \((-1,1)\) 2. C. \(\sqrt{72}\) 3. D. \(x^{2}+y^{2}=16\)
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in the diagram, $overline{bc}congoverline{ef}$ and $angle a$ and $angle…
8
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triangle def and triangle dgf are shown in the diagram. to prove that δ…
C. \(\overline{DE}\cong\overline{DG}\)
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for exercises 7-11, match each word in column a with a word that has th…
7. B. change 8. D. slide 9. C. squeeze 10. E. flip 11. A. corner
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give the center and radius of the circle described by the equation and …
Center: $(-4,-5)$; Radius: $5$; Domain: $[-9,1]$; Range: $[-10,0]$
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for questions 1 to 3, choose the correct answer. 1. the mid - point of …
1. C. (-1, 1) 2. C. $\sqrt{72}$
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worksheet 4.2 graph the set on the number line. 1) {x | x < -4 or x > 4…
1. For $\{x|x < - 4\text{ or }x>4\}$: Open - circle at $x=-4$, shade left; open - circle at $x = 4$, shade right. 2. For $\{x|x\geq - 4\}\cup\{x|x\geq4\}$: Closed - circle at $x=-…
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complete the square and write the given equation in standard form. then…
The standard form of the equation is $(x - 4)^{2}+y^{2}=25$. The center of the circle is $(4,0)$ and the radius is 5.
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solve for x. round to the nearest tenth, if necessary.
$28.9$
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determine the relationship between the two triangles and whether or not…
The two triangles are related by no rigid transformation, so the triangles are non - congruent.
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question determine the relationship between the two triangles and wheth…
The two triangles are congruent by the ASA (Angle - Side - Angle) congruence criterion.
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find the slope of the line graphed below.
$-4$
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find the slope of the line graphed below.
$-\frac{1}{2}$
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the two triangles have at least two - pairs of congruent corresponding …
Similar; 2000; slope
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for each graph, decide if the two lines are parallel, perpendicular, or…
Graph 1: Neither Graph 2: Parallel Graph 3: Parallel Graph 4: Perpendicular
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identifying and naming geometric figures analyze the diagram to answer …
Another way to name $\angle{SAC}$ would be $\angle{CAS}$. A point on ray $\overrightarrow{AS}$ is $T$. $\overrightarrow{AR}$ and $\overrightarrow{AS}$ create $\angle{RAS}$.
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for each graph, decide if the two lines are parallel, perpendicular, or…
Graph 1: Perpendicular Graph 2: Neither Graph 3: Parallel Graph 4: Neither
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congruent? yes no similar? yes no congruent? yes no similar? yes no con…
First pair: Congruent? No, Similar? Yes Second pair: Congruent? No, Similar? Yes Third pair: Congruent? No, Similar? Yes Fourth pair: Congruent? No, Similar? Yes
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what is the length of the hypotenuse? if necessary, round to the neares…
15
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question 2 of 10 what is the measure of $widehat{ac}$?
A. $120^{\circ}$
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if x < 0 and y < 0, where is the point (x, y) located? quadrant i quadr…
C. Quadrant III
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answer attempt 1 out of 2 $d=square^{circ}$ $e=square^{circ}$ $f=square…
$d = 90^{\circ}$ $e = 80^{\circ}$ $f = 80^{\circ}$
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find the reference angle for the angle -\\frac{41\\pi}{6}. the referenc…
\(\frac{\pi}{6}\)
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what is the name of this figure?
Line segment
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answer attempt 1 out of 2 which side in the figure corresponds to segme…
$\frac{3}{2}$
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you start at (6, 6). you move left 2 units. where do you end?
(4, 6)
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you start at (2, 0). you move up 6 units. where do you end?
$(2,6)$
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use the diagram shown to the right to find the unknown lengths of sides…
The length of the sides measuring $x$ in. is 16 The length of the side measuring $2.5x$ in. is 40 The length of the side measuring $4.5x - 9$ in. is 63
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you move up 9 units and left 3 units. you end at (-1, 4). where did you…
$(2, - 5)$
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use the pythagorean theorem to find the length of the missing side of t…
15
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suppose abc is a right triangle with sides a, b, and c and right angle …
The unknown side length $b = 24$. The six - trigonometric functions for angle B are: $\sin B=\frac{24}{25}$, $\cos B=\frac{7}{25}$, $\tan B=\frac{24}{7}$, $\csc B=\frac{25}{24}$, …
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let θ be an angle in standard position. name the quadrant in which θ li…
III
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use the unit circle to find the value of tan π and even or odd trigonom…
A. $\tan\pi = 0$
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a point p(x,y) is shown on the unit circle corresponding to a real numb…
$\sin t=\frac{8}{17}$, $\cos t=\frac{15}{17}$, $\tan t=\frac{8}{15}$, $\csc t=\frac{17}{8}$, $\sec t=\frac{17}{15}$, $\cot t=\frac{15}{8}$
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using the graph, determine the coordinates of the y - intercept of the …
(0, - 8)
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graph the compound inequality. x < 2 or x > 3 plot the endpoints. selec…
On the number - line, place an open - circle at $x = 2$ and draw an arrow to the left. Place an open - circle at $x = 3$ and draw an arrow to the right.
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construct a line through p parallel to ℓ (hint: copy either ∠pca or ∠pc…
The construction is justified by the corresponding - angles postulate or the alternate - interior angles theorem.
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what is the length of the hypotenuse? if necessary, round to the neares…
58
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find the x - intercept and the y - intercept of the line below. click o…
(a) None (b) 2
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if u is between t and b, find the value of x and the lengths of the seg…
\(x = 4\), \(TU = 8\), \(UB = 13\)
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find the y - intercept and the x - intercept of the line below. click o…
(a) y - intercept: 4 (b) x - intercept: 2
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in the figure below, k lies between j and l. find the location of k so …
$-18$
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find the x - intercept and the y - intercept of the line below. click o…
(a) x - intercept: [Value where the line crosses x - axis] (b) y - intercept: [Value where the line crosses y - axis] (Note: Since the actual graph is not fully legible to determi…
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area of triangle = \\frac{1}{2}bh what are the actual base and height o…
Actual base = 8 ft Actual height = 10 ft
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find the x - intercept and the y - intercept of the line below. click o…
x - intercept: 3 y - intercept: - 2
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look at this diagram: if $overleftrightarrow{np}$ and $overleftrightarr…
$64^{\circ}$
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you start at (2, 2). you move right 8 units. where do you end?
$(10,2)$
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solve the right triangle. find the length of the side adjacent to the g…
Length of adjacent side: 4 Length of hypotenuse: 5.66 Other acute angle: $45^{\circ}$
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what is the length of the hypotenuse? if necessary, round to the neares…
17
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for the figure shown, find m∠1. (the figure is not drawn to scale.) m∠1…
5
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question 8 of 10 what is the measure of ∠xyz?
B. $44^{\circ}$
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which pairs of figures below are congruent? congruent? yes no congruent…
No, No, No, No
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which expression can be used to find the surface area of the triangular…
36
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which net represents the three - dimensional figure shown on the right?
The third net (from the top - left, in the order of the nets shown)
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name anjeli j. date 9/16 unit 1 section 10 assignment - geometry 17 exp…
If consecutive interior angles formed by two lines and a transversal are supplementary, the two lines are parallel.
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13 explain how you can use the measures of alternate exterior angles to…
13. If the alternate - exterior angles formed by two lines and a transversal are congruent, the two lines are parallel. 14. Consecutive - interior angles are supplementary (sum to…
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9. explain how you can use the concept of alternate interior angles to …
9. If the alternate - interior angles formed by two lines and a transversal are congruent, the two lines are parallel. 10. The alternate - exterior angles are congruent. 11. a) Op…
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5. explain how you can use corresponding angles to prove that two lines…
5. If two lines are cut by a transversal and the corresponding angles are congruent, then the two lines are parallel. 6. When two parallel lines are cut by a transversal, the alte…
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1. if two parallel lines are cut by a transversal, what is the relation…
1. The measures of corresponding angles are equal (congruent). 2. a) Same side. b) One is interior and one is exterior.
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multiple choice circle the best answer, and write the letter in the box…
6. A. one 7. D. moat
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17. circle the letter of the definition of skepticism. a. having an att…
17. A. having an attitude of doubt 18. True
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william is planning to create a rectangular mosaic which measures 120 c…
30
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plot the point (-1,8). click on the graph to plot a point. click a poin…
Plot the point 1 unit to the left of the y - axis and 8 units above the x - axis on the given graph.
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part 2 of 2 solve the inequality. graph the solution -5(3x - 3) > - 45 …
B. (assuming option B is the number - line with an open - circle at 4 and an arrow pointing to the left)
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question given m||n, find the value of x.
\(x = - 2.5\)
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question. solve for x and graph the solution on the number line below. …
The solution in inequality notation is \(-10 < x < - 8\). To graph on a number - line: Draw a number line. Mark the points - 10 and - 8. Use open circles at - 10 and - 8 (because …
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43 rotation 90° counterclockwise about the origin polygon
The new vertices of the rotated polygon are found by applying the $(x,y)\to(-y,x)$ rule to each original vertex. The new polygon is formed by these new vertices.
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solve for a and graph the solution on the number line below. -25 > -2a …
Inequality Notation: $\frac{19}{3}<a<\frac{23}{3}$; On the number - line, mark open circles at approximately 6.33 and 7.67 and shade the region between them.
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solve for x and graph the solution on the number line below. -25 > -2x …
The solution in inequality notation is \(10 < x<12\). On a number - line, we would draw an open circle at \(x = 10\) and an open circle at \(x = 12\) and shade the region between …
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graph the solution set of the inequality on a number line and then writ…
D. (The number - line with an open circle at 3 and an arrow pointing to the left), \((-\infty,3)\)