幾何
三角形、円、座標幾何、証明問題。
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solomon needs to justify the formula for the arc length of a sector. wh…
$\frac{\pi rn}{180}$
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a student inscribes a triangle within a semicircle. what is the measure…
D. $90^{\circ}$
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the longest side of an acute isosceles triangle is 12 centimeters. roun…
8.5 cm
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george is given two circles, circle o and circle x, as shown. if he wan…
\(\frac{C}{C'}=\frac{2\pi r}{2\pi r'}\)
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an acute triangle has two sides measuring 8 cm and 10 cm. what is the b…
\(2\lt s\lt18\)
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black plague video directions: using the nbc learn video: video - link,…
1. Asia (around the Black Sea or Central Asia) 2. Entered Europe through ports like Constantinople and spread throughout 3. Pain, Swelling, Black sores, Vomiting Blood, Fever 4. O…
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question 25 of 33 a building casts a 50 - foot shadow. alex is 5 feet t…
C. 42 ft
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question 24 of 33 which of the following is not a congruence theorem or…
B. AA
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question 23 of 33 if two triangles have three pairs of congruent sides,…
A. True
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two sides of an acute - triangle measure 5 inches and 8 inches. the len…
12 inches
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henry constructed circle a with a radius of 10 units. he then created a…
The expression to find the area of the shaded sector is $\frac{120}{360}\times\pi\times(10)^{2}$ or $\frac{100\pi}{3}$.
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question 21 of 33 what angle is included by $overline{ab}$ and $overlin…
C. $\angle A$
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name an angle or angle pair that satisfies each condition. 37. two adja…
37. $\angle CFB$ and $\angle BFD$ 38. $\angle CFG$ and $\angle DFE$ 39. $\angle BFD$ and $\angle DFE$
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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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question 20 of 33 determine the scale factor for △abc to △abc.
B. 2
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question 19 of 33 the figure shown is to be painted on a road sign. whi…
C. A rectangle and an isosceles triangle
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question 18 of 33 is △abc similar to △def? why or why not? a. yes, beca…
B. No, because not all the angles are congruent.
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the longest side of an acute triangle measures 30 inches. the two remai…
72.4 in.
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question 17 of 33 in the triangle below, what is the length of the hypo…
D. 6
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question 16 of 33 each exterior angle of a regular polygon measures 45°…
B. 8
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question 15 of 33 a triangle with sides of lengths 20, 21, and 29 is a …
A. True
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question 14 of 33 two right triangles are similar if the acute angles o…
A. True
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question 13 of 33 if △abc ~ △def and the scale factor from △abc to △def…
D. 4, 5, 2
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the longest side of an acute isosceles triangle is 8 centimeters. round…
\(5.7\mathrm{cm}\)
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in the rectangle below, ac = 36 units. what is de? a. 18 b. 36 c. 12 d.…
A. 18
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question 10 of 33 intersecting lines that form a right angle are define…
D. perpendicular
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question 9 of 33 in △def, sin d = 24/26. what is cos e?
A. $\frac{24}{26}$
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question 8 of 33 the angle of elevation from the bottom of a scenic gon…
C. 1751 feet
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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 7 of 33 given circle x with radius 17 units and chord ab with …
A. 8 units
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question 6 of 33 if ad ≅ bd, which of the following relationships can b…
B. $\triangle ACD\cong\triangle BCD$, because of SAS.
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question 5 of 33 the ratio $\frac{opposite}{adjacent}$ describes which …
A. Tangent
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the longest side of an obtuse triangle measures 20 cm. the two shorter …
\(6.3\)
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question 4 of 33 what is the name of a polygon that has four congruent …
B. Rhombus
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question 3 of 33 the figure shows a child estimating the height of a tr…
$\frac{4}{5}=\frac{h}{12}$
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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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question 3 of 33 the figure shows a child estimating the height of a tr…
None of the given options are correct. The correct proportion is $\frac{h}{12}=\frac{4}{5}$.
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sample response: first, look at the side lengths a, b, and c, where c i…
If \(a^{2}+b^{2}=c^{2}\), the triangle is right. If \(c^{2}<a^{2}+b^{2}\), the triangle is acute. If \(c^{2}>a^{2}+b^{2}\), the triangle is obtuse.
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what is sin 23°? a. $\frac{12}{13}$ b. $\frac{12}{5}$ c. $\frac{5}{13}$…
C. $\frac{5}{13}$
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question 1 of 33 below is the justification for the formula for area of…
$r$
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6. fill in the circle next to the correct definition of the underlined …
6. A. very important and needing to be dealt with immediately 7. C. facts and conditions that affect a situation 8. C. extreme 9. C. more 10. C. aspiration
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name date fill in the table, and then round to the given place. label t…
a. 4.30 b. 4.3 c. 4
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your classmate is unsure about how to use side lengths to determine the…
You can explain that if all three side - lengths of the triangle are equal, it is an equilateral triangle. If exactly two side - lengths are equal, it is an isosceles triangle. An…
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question 22 of 22 in the diagram below, ⊙o is circumscribed about quadr…
\(x = 57\)
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if ∠def measures 70°, what is the measure of ⌢dgf? a. 70° b. 140° c. 22…
D. 290°
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question 20 of 22 true or false? an inscribed angle is formed by two ra…
B. False
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to the nearest square centimeter, what is the area of the shaded sector…
A. $138$ $cm^{2}$
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if two chords in a circle are congruent, then they are ____________. a.…
C. the same distance from the center of the circle
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ramon wants to make an acute triangle with three pieces of wood. so far…
less than $\sqrt{58}$ inches but greater than 7 inches
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the radius of the circle shown below is 7 inches. what is the approxima…
B. 16.5 in
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oc is perpendicular to ab. what is the length of ab? a. 13.4 units b. 3…
A. 13.4 units
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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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question 15 of 22 true or false? if a parallelogram is inscribed in a c…
A. True
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question 14 of 22 point d is the center of the given circle. what is th…
D. $96^{\circ}$
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if ∠def measures 60°, what is the measure of ⁀df? a. 30° b. 120° c. 60°…
C. $60^{\circ}$
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janice examines the given triangle and estimates that the longest side …
It is over by approximately 0.6 units.
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if a circle is inscribed in a triangle, which of the following must be …
B. Each vertex of the triangle lies outside the circle. C. The triangle is circumscribed about the circle. D. The circle is tangent to each side of the triangle.
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question 11 of 22 which type of arc lies between the two sides of a cen…
B. Minor arc
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on the packaging for a triangular sail, the edge measurements for the s…
obtuse triangle
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question 10 of 22 which of the following is the best definition of a ci…
A. The collection of all points in a plane that are the same distance from a given point
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question 9 of 22 the ______ of a triangle is the center of the only cir…
C. incenter
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ellas geometry teacher asked each student to devise a problem and write…
Ella's procedure and conclusion are incorrect.
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question 8 of 22 to the nearest hundredth, what is the area of a circle…
D. 78.54 square units
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which value from the list below, when substituted for x, would represen…
14
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a pizza with a diameter of 12 inches is cut into 8 equal slices. to the…
D. 14 in²
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question 6 of 22 if a circle is circumscribed about a triangle, the cen…
C. circumcenter
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17. (2x + 25)° y° (3x - 10)°
\(x = 35\), \(y = 85\)
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question 5 of 22 what is the distance around a circle called? a. radius…
B. Circumference
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which sets of three of numbers represent the sides of an obtuse triangl…
3,5,6; 2,2,3
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to the nearest hundredth, what is the circumference of a circle with a …
A. 31.42 units
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the circumference of the circle shown below is 75 inches. which express…
C. $\frac{72}{360}\cdot75$
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question 2 of 22 in the diagram below, m\\(\\widehat{pr}\\) = 140° and …
None of the given options are correct. The measure of $\angle PTR$ is $123^{\circ}$.
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question 1 of 22 which line segment is a chord of ⊙c in the diagram bel…
A. $\overline{AB}$
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question 10 of 10 in the diagram below, ⊙o is circumscribed about quadr…
C. 50
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question 9 of 10 in the diagram below, ⊙p is circumscribed about quadri…
D. 80°
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question 7 of 10 true or false? the opposite angles of a quadrilateral …
B. False
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question 3 of 10 true or false? a circle could be circumscribed about t…
A. True
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in the diagram below, ⊙o is circumscribed about quadrilateral defg. wha…
A. 68°
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question 4 of 10 the only way to circumscribe a circle around a paralle…
D. rectangle
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you are told that in a billiards shot, the cue ball was shot at the eig…
10
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use the information given in the diagram of △ghi to find the missing me…
$HI = 18.9$, $GH = 23.3$, $m\angle I=51.0^{\circ}$
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question 1 of 10 true or false? a circle could be circumscribed about t…
A. True
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question 10 of 10 true or false? in order to inscribe a circle in a tri…
A. True
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question 9 of 10 true or false? a square is inscribed in another figure…
A. True
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question 8 of 10 true or false? the incenter of a triangle is the cente…
A. True
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question 7 of 10 true or false? the shortest distance from the center o…
A. True
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classify each of the triangles as acute, obtuse, or right. triangle xyz…
Triangle XYZ is acute triangle. Triangle JKL is obtuse triangle.
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question 6 of 10 which of the following are properties of the incenter …
A. The incenter of a triangle is always inside it. B. The incenter is where all of the bisectors of the angles of the triangle meet.
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question 5 of 10 which of the following are properties of the circumcen…
A. The circumcenter of a right triangle falls on the side opposite the right angle. C. The circumcenter is at the intersection of the perpendicular bisectors of the triangle's sid…
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question 4 of 10 the shortest distance from the center of the inscribed…
D. radius
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question 3 of 10 if figure x is inscribed in figure y, which statement …
B. Figure Y is circumscribed about figure X.
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question 2 of 10 what can be said about the relationship between triang…
B. Exactly one circle can be inscribed in a given triangle. C. Many triangular shapes can be inscribed in a given circle.
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question 1 of 10 true or false? the circumcenter of a triangle is the c…
A. True
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question 10 of 10 a ______ of a circle is a region bounded by an arc of…
A. sector
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question 9 of 10 what is the approximate area of the shaded sector in t…
A. $18.8$ $cm^{2}$
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question 9 of 10 what is the approximate area of the shaded sector in t…
A. 51 in²
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question 7 of 10 the circle shown below has a diameter of 18 centimeter…
C. $191$ $cm^{2}$
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question 5 of 10 what is the approximate area of the shaded sector in t…
B. $5.09$ cm²
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question 4 of 10 what is the approximate area of the shaded sector in t…
D. $25$ in$^{2}$
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question 3 of 10 true or false? the area of a sector is the area of the…
A. True