几何
三角形、圆、解析几何与证明题。
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give a pair of corresponding angles, a pair of alternate exterior angle…
(a) Corresponding angles: $\angle2$ and $\angle6$ (b) Alternate exterior angles: $\angle1$ and $\angle7$ (c) Alternate interior angles: $\angle4$ and $\angle6$
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give a pair of alternate exterior angles, a pair of alternate interior …
(a) Alternate exterior angles: $\angle 1$ and $\angle 8$ (b) Alternate interior angles: $\angle 6$ and $\angle 3$ (c) Corresponding angles: $\angle 5$ and $\angle 7$
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for which of these shapes is it possible to apply the pythagorean theor…
B. Right triangle
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to help pay for his tuition, a college student plans to work in the eve…
The solution of the equation \(7.50h+\frac{50}{4}h = 18h+33\) is \(h = 16.5\) For part 2a: Let \(y_1\) be the income from the hotel job \(y_1=18h + 33\) and \(y_2\) be the income …
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arielle is building the wooden framework for the roof of a house. she n…
It is an obtuse triangle. About \(0.8\) foot needs to be removed from the \(20 -\)foot board to create a right triangle.
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Question was provided via image upload.
\(28\)
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4 - 4 and 4 - 5 congruent triangle postulates practice (all mixed) dete…
SSS
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an acute triangle has two sides measuring 8 cm and 10 cm. what is the b…
\(6\lt s\lt12.8\)
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4 - 4 and 4 - 5 congruent triangle postulates practice (all mixed) dete…
SSS
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calculate the hypotenuse of each right triangle with the given leg leng…
c. \(a = 12,b = 13\)
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which classification best represents a triangle with side lengths 6 cm,…
obtuse, because \(6^{2}+10^{2}<12^{2}\)
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what is the sum of the measures of the interior angles at vertex i and …
\(38^{\circ}\)
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which of the following sets of numbers can form a right triangle? a. 5,…
d. \(6,8,10\)
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which best explains whether a triangle with side lengths 2 in., 5 in., …
The triangle is not acute because \(2^{2}+4^{2}<5^{2}\).
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use the properties of exterior angles of triangles to find angle b.
\(b = 52^{\circ}\)
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angles of triangles quick check if a triangle has angles measuring 46°,…
acute triangle
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the longest side of an obtuse triangle measures 20 cm. the two shorter …
A. \(6.3\)
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can a triangle have two right angles, and why or why not? (1 point) no,…
No, because there needs to be a third angle.
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in the pythagorean theorem ($a^{2}+b^{2}=c^{2}$), the term $c^{2}$ repr…
c. Longest side of the triangle (hypotenuse)
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which set of numbers can represent the side lengths, in centimeters, of…
\(10,24,26\)
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angles of triangles quick check if a triangle has a 22° angle and a 46°…
The third angle measure is \(112^{\circ}\), and the triangle is an obtuse triangle.
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if ( a = 6 ) and ( b = 8 ), what is the length of ( c ) in a right tria…
B. 10
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a right triangle has side lengths 4 units, 5 units, and x units. it is …
3.4 units
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the longest side of an acute triangle measures 30 inches. the two remai…
72.4 in.
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find d in the figure. (1 point)
\(120\)
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which set of numbers can represent the side lengths, in inches, of an a…
\(5,7,8\)
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angles of triangles practice complete this assessment to review what yo…
\( 75^{\circ} \)
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angles of triangles practice complete this assessment to review what yo…
\(70\)
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an acute triangle has sides measuring 10 cm and 16 cm. the length of th…
\(12.5\lt x\lt18.9\)
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angles of triangles practice complete this assessment to review what yo…
\(81\)
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an alternative form of the pythagorean theorem, $c^{2}-b^{2}>a^{2}$, ca…
1. leg 2. right
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angles of triangles practice complete this assessment to review what yo…
180
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a triangle with one angle measuring exactly 90 degrees is a triangle. i…
1. right 2. hypotenuse 3. legs 4. Pythagorean
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marlena has 3 straws. two straws have the lengths shown. she does not k…
5 inches, 6 inches, 7 inches
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2 - 1 additional practice parallel lines use the figure for exercises 1…
| Statements | Reasons | |---|---| | 1) \(x\parallel y\) | 1) Given | | 2) \(m\angle3 + m\angle8 = 180^{\circ}\) | 2) Same - side interior angles theorem | | 3) \(m\angle5 + m\ang…
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janice examines the given triangle and estimates that the longest side …
It is under by approximately \(0.6\) units.
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question 5 which construction will determine a midpoint? perpendicular …
perpendicular bisector
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a compass and straight edge construction is shown. which construction d…
angle bisector
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question 3 1 pts which statement is most accurate? o when you bisect an…
When you bisect an angle, you are dividing the angle into two congruent angles.
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question 2 look at the figure. which step should be taken next to const…
Place the compass on point \(C\). Open the compass to point \(D\).
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which value from the list below, when substituted for x, would represen…
14
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which sets of three of numbers represent the sides of an obtuse triangl…
\(2,2,3\) and \(3,5,6\)
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use the figure for exercises 1 - 4. identify all pairs of each type of …
a. \(m\angle1 = 53^{\circ}\) (alternate interior angles) b. \(m\angle3 = 37^{\circ}\) (first find \(\angle2 = 90 - 53=37^{\circ}\) using complementary angles, then \(\angle2\) and…
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which of the following is the correct construction for a perpendicular …
The third option (the one with arcs drawn from both \(A\) and \(B\) above and below the line segment \(AB\) and intersecting at four points) is the correct construction for a perp…
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48. find \\( \\angle a b d \\)
\(51^{\circ}\)
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determine the most precise name for quadrilateral wxyz. o rectangle o q…
quadrilateral
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question 4 1 pts quadrilateral math has coordinates m(1,1), a(-2,5), t(…
parallelogram
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bd→bieds ∠abc. find the indicated measure/value. 44. find x: 45. find ∠…
\(46^{\circ}\)
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question 2 1 pts can you conclude that this parallelogram is a rectangl…
Yes; the diagonals are congruent.
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quadrilateral abcd is graphed on the set of axes below. what is the mos…
rhombus
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when sr = 68, what is ca?
\(34\)
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p is the centroid of △lmn. find pn and qp. qn = 21
\(PN = 14\), \(QP = 7\)
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question which conclusions can be drawn based on the markings in the di…
The figure is a triangular pyramid., \( \angle BAC\cong\angle BCA\)
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d is the centroid of △abc. find cd and ce de = 5
\(CD = 10\) and \(CE = 15\) (corresponding to the first option \(CD = 10\ CE = 15\))
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find the measure of qr
\(22\)
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if ln = 5, then ac = ________.
\(10\)
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find the circumference of the circle in terms of π. then use the approx…
The exact circumference is \(9.6\pi\) yd.
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what is the total surface area of an equilateral triangular pyramid wit…
111
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left to right: the tree trunk is about 2 feet wide. what are the approp…
The trunk is modeled as a cylinder with a surface area of \(31\ ft^{2}\), and the rest of the tree is modeled as a cone with a surface area of \(75\ ft^{2}\)
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m∠b=□° m∠c=□° m∠d=□°
\(m\angle B = 88^{\circ}\), \(m\angle C = 46^{\circ}\), \(m\angle D = 46^{\circ}\)
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a tree from a forest with a height of 30 feet is shown below. the botto…
The trunk of the tree is modeled as a cylinder with a surface area of \(31\ ft^{2}\), and the rest of the tree is modeled as a cone with a surface area of \(487\ ft^{2}\)
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select the correct answer from the drop - down menu. the design of a bu…
82
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select the correct answer. the shape of a capsule consists of a cylinde…
D. \(3.93\ in^{2}\)
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select the correct answer. a farmers silo is a cone on top of a 100 foo…
9 feet
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select the correct answer. a vase is in the shape of a cone. the height…
84.3 square inches
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type the correct answer in each box. use numerals instead of words. the…
The height is \(50\) units. The radius is \(37.5\) units.
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if segment kl has endpoints at k(1,8) and l(1, - 4), what are the coord…
\((1,5)\)
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4. what is a reflection rule that maps each triangle to its image? a. (…
The reflection rule is \((x,y)\to(-y,-x)\)
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4. which statement combines these two simple sentences into one compoun…
Sara wanted to ace her geometry test, but she overslept.
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2. the perimeter of the polygon is $3x^{3}+2x + 2$. find a polynomial t…
\(3x^{3}-2x^{2}\)
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sample 2 which of the following do not appear to be perpendicular segme…
A.
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1. the perimeter of the polygon is 18 yards. find the missing side. 2. …
1. The missing side is \(2\) yards. 2. The polynomial representing the missing side is \(3x^{3}+2\)
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a triangular prism has a base area of 15 cm² and a perimeter of 10 cm. …
\(150\space cm^{2}\), so the answer is c.
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when analyzing a triangular prism, which of the following correctly des…
B. Two triangular bases and three rectangular lateral faces.
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the surface area of a sphere is calculated with which formula? a. $4\\p…
A. \(4\pi r^{2}\)
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which formula is used to calculate the area of a circle, an essential p…
d. \(A=\pi r^{2}\)
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4) playground lukas is walking around the edge of the playground shown.…
\(40\)
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what is the surface area of a sphere with a radius of 6 cm? a. 678.24 c…
C. \(452.16\) \(cm^{2}\)
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bd bisects \\( \\angle abc \\). find the indicated measure/value. 44. f…
\(x = 20\) ### 45.
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in the process of calculating surface area, what does dissecting the sh…
C. Simplifying the calculation by focusing on individual pieces.
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look at the diagram. which equation can be used to solve for x? 22x + 3…
The equation \(5x + 53=128\) can be used to solve for \(x\). Now, solve for \(x\): ## Step1: Subtract 53 from both sides of the equation \(5x+53-53=128 - 53\). \(5x=75\). ## Step2…
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for a pyramid with a square base, how many faces does it have in total?…
A. 5
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identify the 3 - d shapes with a surface area less than 100 cm². a. tri…
A. Triangular Prism (Base Area = 9 cm², Perimeter of Base = 9 cm, Height = 5 cm)
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a circle with a radius of 3 mm is shown. make sure that you use the cor…
(a) \(50\pi\) mm (b) \(157\) mm
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find each measure: 1. fg 2. tu
1. \(FG = 28\) 2. \(TU = 60\)
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if a rectangular prism has a length of 10 cm, width of 4 cm, and height…
C. \(220\ cm^{2}\)
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a cylinder has a radius of 3 cm and a height of 7 cm. what is the surfa…
A. \(188.4\space cm^{2}\)
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which equation can be used to solve for x? 2x + 3x = 71 7x - 6 = 71 11x…
\(x = 7\)
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lesson 2.4 pt 4 assignment geometry write and solve an equation to find…
\(x = 2\)
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geometry write and solve an equation to find the value of x so that the…
\(x = 2\)
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find the length of \\( \\overline { a b } \\). 3. 4.
\(26\) ### Problem 4
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qs bisects ∠pqr. 11. find ∠sqr. 12. find ∠pqs 13. find ∠pqr.
11. \( 40^{\circ} \) 12. \( 64^{\circ} \) 13. \( 104^{\circ} \)
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select the correct answer from each drop - down menu. consider right tr…
\(\sin(A)=\frac{BC}{AC}=\frac{9}{41}\), \(\cos(A)=\frac{AB}{AC}=\frac{40}{41}\)
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find each measure. 1. \\( \\angle l y f \\) 2. \\( \\angle n j z \\) 3.…
1. \( 58^{\circ} \) 2. \( 76^{\circ} \) 3. \( 22^{\circ} \)
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question 2 of 2 select the correct answer. what is the value of x? 20√3…
\(20\)
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multiple choice question specifically, how do you record ideas with the…
You draw a picture and then write down every word you associate with it.
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question find the distance between the two points in simplest radical f…
\(10\)
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if ( mangle i = 50^{circ} ), find ( mangle s ).
\(80^{\circ}\)
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b warm up get locked in! 1. writing explain how \\( \\overline { x y } …
The different one is “Find \(BC - AC\)”. \(AC + CB=10\), \(AB = 10\), \(CA + BC=10\), \(BC - AC = 4\)
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find the distance between the two points in simplest radical form.
\(15\)