幾何
三角形、圓、解析幾何與證明題。
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7. which of the following statements shows that these two polygons are …
Corresponding angles are not congruent
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6. these triangles are similar. which similarity statement is correct? …
\(\triangle ABC\sim\triangle FED\)
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a video screen is 16 in. by 12 in. tall. what is the width of the large…
8 in.
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4. these polygons are similar. find the value of z. 5 10 6 8
10
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which is the best approximation for the measure of angle abc? o 27.7° o…
B. \(31.7^{\circ}\)
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3. abcde ~ ghjdf. complete the statement: $\frac{gh}{dj}=\frac{ab}{?}$
DC
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a beach has two floating docks. one is 650 meters east of the lifeguard…
705 meters
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2. these triangles are similar. find the value of x.
4
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the equation tan(55°) = 15/b can be used to find the length of ac. what…
$10.5$ cm
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1. tqrs ~ bcde. name a pair of corresponding sides. rs and bc ts and cd…
\(\overline{QR}\) and \(\overline{CD}\)
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the length of a rectangle is 6 inches longer than it is wide. if the ar…
The width is 6 inches. The length is 12 inches.
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9) 10) 11) 12) 13) 14) 15) 16)
9) 21° 10) 40° 11) 34° 12) 31° 13) 35° 14) 71° 15) 77° 16) 73°
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what is the area of triangle abc? round to the nearest hundredth of a s…
81.33 square units
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lila made a triangular flag to cheer on her favorite sports team. the p…
15 square inches
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the area of triangle efg is 34.8 square units. what is the perimeter of…
29 units
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what is the area of triangle def? round to the nearest tenth of a squar…
18.0 square units
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what is the area of △abc? round to the nearest tenth of a square unit o…
8.4 square units
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8. manish drove from chicago to baton rouge. at 8:00 a.m., he was 510 k…
H. 81
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determine which of the following best describes the truth value and a c…
This statement is false. A counterexample would be a triangle with angles that are 45, 45, and 90 degrees.
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draw a line representing the ise\ and a line representing the un\ of th…
-1
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consider the diagram and the derivation below. given: in △abc, ad ⊥ bc.…
$\frac{1}{2}ab\sin(C)$
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lian is making a banner for the school gym. she cut three pieces of fab…
417 square inches
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consider the conditional statement: \if a triangle has three acute angl…
D. It is an acute triangle
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2. complete the two problems below by filling out the missing angle. th…
$\angle1 = 122^{\circ}$ $\angle4 = 58^{\circ}$ $\angle1$ and $\angle3$ are vertical angles $\angle1$ and $\angle2$ are supplementary angles $\angle4$ and $\angle2$ are correspondi…
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which triangles area can be calculated using the trigonometric area for…
The triangle with vertices D, E, F.
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using the diagram below, identify a set of complementary and a set of s…
- Set of complementary angles: $\angle DFE$ and $\angle CFE$ (assuming $\angle DFC = 90^{\circ}$) - Set of supplementary angles: $\angle AFB$ and $\angle BFE$ (assuming $A - F - E…
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the area of parallelogram wxyz is approximately 45 square units. what i…
30 units
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1.5 - 1.6 quiz a name: find each indicated angle measure ∠aoc ____ ∠eob…
Since no specific angle - measure values are given in the description (only the task to find them), we need to assume we are using a protractor to measure. Without the actual prot…
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find each indicated angle measure name simere ∠aoc ∠eob ∠cod ∠doa ∠coe …
Since the image is not clear - enough to accurately read the protractor measurements for each angle, we cannot provide specific angle - measures. If we assume we could read the pr…
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marta is making a flag with the given dimensions. the perimeter of the …
360 54
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parallel lines intro what is the relationship for angles in the picture…
Corresponding
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kuta software - infinite geometry angles in a triangle find the measure…
1. \(58^{\circ}\) 2. \(50^{\circ}\) 3. \(30^{\circ}\) 4. \(45^{\circ}\) 5. \(137^{\circ}\) 6. \(65^{\circ}\) 7. \(50^{\circ}\) 8. \(95^{\circ}\)
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which statement about the relative areas of △abc and △xyz is true? the …
More information is needed to compare
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the triangle shown is an equilateral triangle. what is the area of the …
$\frac{1}{2}a^{2}\sin(60^{\circ})$
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using herons formula, calculate the area of the parallelogram to the ne…
$36.7$
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in the figure below, m∠dba = 128°. (a) write an equation to find x. mak…
(a) Equation: \(5x + 49=128\) (b) \(x = 15.8\)
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see the figure of △abc with auxiliary lines added. if c is the base of …
If \(c\) is the base of \(\triangle ABC\), the height is \(CD\); \(\sin(A)=\frac{CD}{b}\); The previous statement is leading to the derivation of the area formula \(Area_{\triangl…
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tell the relationship between the pairs of angles based on the diagram …
Angles 2 and 7 are alternate exterior. Angles 4 and 5 are same - side interior. Angles 2 and 8 are corresponding.
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what information relevant to calculating area do we have available for …
The information relevant to calculating area: lengths of all three sides. The method: Heron's formula. The area: \(34.98\) square units.
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the area of a rectangle is 99 square units. its width measures 9 units.…
$14.2$
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angles 2 and 7 are angles 4 and 5 are angles 2 and 8 are angles 1 and 3…
Angles 2 and 7 are alternate exterior angles. Angles 4 and 5 are same - side interior angles. Angles 2 and 8 are corresponding angles. Angles 1 and 3 are vertical angles.
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what are the measures of ∠1 and ∠2? explain. the measure of ∠1 is becau…
The measure of ∠1 is 60, and the measure of ∠2 is 60.
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if you place a 34 - foot ladder against the top of a building and the b…
$23.0$ feet
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a certain television is advertised as a 90 - inch tv (the diagonal leng…
$64.3$ inches
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graph the following equation in a rectangular coordinate system. x = 6 …
Draw a vertical line passing through the point where $x = 6$ on the $x$ - axis. The line will extend infinitely in both the positive and negative $y$ - directions.
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you start driving east for 12 miles, turn left, and drive north for ano…
$15.6$ miles
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the area of a rectangle is 135 square units. its length measures 9 unit…
$17.5$
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an altitude is drawn from the vertex of an isosceles triangle, forming …
73.8 inches
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2) given the following diagram of △cdb. find the value of x. x = ______
\(52^{\circ}\)
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explain how to plot a point in the rectangular coordinate system. give …
To plot the point \((a,b)\) in the rectangular coordinate system, if \(a\) is positive, go \(|a|\) units to the right from zero along the \(x\) - axis and if \(a\) is negative, go…
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show all work for full credit. circle your answers. 1) given the follow…
\(142\)
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a football is thrown by a quarterback to a receiver. the points in the …
When the ball has traveled a distance of 4 yards it is at a height of 7 feet.
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to find the space diagonal of a prism, you use the of the base and the …
diagonal
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given ∠abc and ∠def are supplementary and ∠abc and ∠ghj are supplementa…
A. \(m\angle DEF = m\angle GHJ\)
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herons formula area = \\sqrt{s(s - a)(s - b)(s - c)} use the triangle p…
Perimeter $p = 30$ units Semi - perimeter $s = 15$ units Area $A\approx39.7$ square units
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q1 - accelerated mathematics gr 8 | guided notes: modeling and solving …
1. Diagonal 2. Height 3. Slope 4. Width
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construct ∠d so that ∠d≅∠c. with the same compass setting, put the comp…
What is the fourth step of the construction? C. With the same compass setting as the previous step, put the compass point on R and draw another arc that intersects the arc constru…
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the sides of a triangle are 42, 15, and 39. use the pythagorean theorem…
The triangle is obtuse because the square of the largest side is greater than the sum of the squares of the other two sides.
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a football is thrown by a quarterback to a receiver. the points in the …
(8, 7)
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the pythagorean theorem states that in a right triangle, the square of …
1. hypotenuse 2. rectangular 3. distance 4. diagonal
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the sides of a triangle are 89, 77, and 59. use the pythagorean theorem…
The triangle is acute because the square of the largest side is less than the sum of the squares of the other two sides.
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a football is thrown by a quarterback to a receiver. the points in the …
(8, 7)
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the sides of a triangle are 60, 77, and 64. use the pythagorean theorem…
The triangle is acute because the square of the largest side is less than the sum of the squares of the other two sides.
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if you place a 39 - foot ladder against the top of a building and the b…
$20.8$ feet
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write the rule for this translation: slide 2 right and 3 up. (x, y)----…
\((x,y)\to(x + 2,y + 3)\)
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an architect is designing a ramp with a height of 2 meters and a horizo…
For the first question: c. 6.32 For the second question: a. The longest diagonal inside a 3D shape
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how is triangle abc being translated to triangle abc? down 9, right 4 u…
down 9, right 4
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the sides of a triangle are 30, 24, and 18. use the pythagorean theorem…
The triangle is right because the square of the largest side equals the sum of the squares of the other two sides.
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what is the pythagorean theorem used for in three - dimensional space? …
1. b. Calculating straight - line distances between points 2. d. 21.21 m
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consider the angles formed by the garden gate. what can be concluded fr…
a. Conclusion: \(\angle1\cong\angle2\), Theorem: Definition of congruent - angle measures b. D. It can be concluded that \(\angle3\cong\angle4\) since vertical angles are congruen…
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the sides of a triangle are 96, 44, and 82. use the pythagorean theorem…
The triangle is obtuse because the square of the largest side is greater than the sum of the squares of the other two sides.
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why is the pythagorean theorem important in real - world applications? …
1. b. It provides a method for calculating distances accurately 2. c. $\sqrt{l^{2}+w^{2}+h^{2}}$
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if you place a 32 - foot ladder against the top of a 23 - foot building…
$22.2$ feet
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consider the angles formed by the garden gate. what can be concluded fr…
A. It can be concluded that \(\angle1\cong\angle2\) since all right angles are congruent.
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if you place a 39 - foot ladder against the top of a 23 - foot building…
$31.5$
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determine the distance a player travels from (0, 0, 0) to (28, 15, 10).…
First question: c. 33.30 Second question: d. Measuring the circumference of a circle
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2. which best describes the transformation from figure a to figure b? t…
translation 8 units right and 6 units down
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the area of a rectangle is 105 square units. its width measures 7 units…
$16.6$
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a box has dimensions 3 ft by 4 ft by 12 ft. what is the length of its s…
1. d. 13 ft 2. b. 9.43
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if a point is at (-10,6), and it gets translated horizontally -6 units …
(-16,11)
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question the sides of a triangle are 24, 26, and 10. use the pythagorea…
The triangle is right because the square of the largest side equals the sum of the squares of the other two sides.
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the flag is an isosceles triangle. the bottom side of the flag measures…
The perimeter is approximately \(15.0\) ft.
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5. sp≅sq △spm≅△sqm any point on a bisector of a line segment is equidis…
Jamie made his first mistake in Step 3. He cannot conclude that $\overline{MP}$ is congruent to $\overline{MQ}$ based on the fact that line $MS$ is a bisector of $\overline{PQ}$.
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the flag is an isosceles triangle. the bottom side of the flag measures…
15.0 feet
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the sides of a triangle are 79, 40, and 64. use the pythagorean theorem…
The triangle is obtuse because the square of the largest side is greater than the sum of the squares of the other two sides.
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part a: multiple choice (circle the best answer) 1. what is the main go…
1. c) To reclaim items that were confiscated from them 2. No answer can be determined without more context 3. b) Handheld camera and quick cuts 4. c) Grime, drill, and hip - hop 5…
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the sides of a triangle are 30, 64, and 90. use the pythagorean theorem…
The triangle is obtuse because the square of the largest side is greater than the sum of the squares of the other two sides.
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the flag is an isosceles triangle. the bottom side of the flag measures…
The value of $x$ is approximately $3.1$ feet and the perimeter is $11.2$ feet.
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now look at triangles b and c. which type of transformation takes trian…
Rotation
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the flag is an isosceles triangle. the bottom side of the flag measures…
$22.0$
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line x is parallel to line y. line z intersects lines x and y. determin…
- \(m\angle1 + m\angle4 = 180^{\circ}\): Always True - \(m\angle5−m\angle7 = 0^{\circ}\): Always True - \(\angle2\cong\angle8\): Always True - \(m\angle2−m\angle3=m\angle1 - m\ang…
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a point is translated 3 units left and 4 units up. what is the correct …
$T(x,y)\to(x - 3,y + 4)$
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the flag is an isosceles triangle. the bottom side of the flag measures…
$11.2$
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what transformation is happening? (x, y)---->(x + 2,y - 3) slide right …
slide right 2, down 3
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jessie draws triangle abc on a coordinate grid. the slope of line - seg…
Rotation of 180° around the origin: Supports Jessie's Claim Reflection across the line y = 2: Supports Jessie's Claim Translation up 1.25 units: Supports Jessie's Claim Reflection…
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write the ratios for sin m, cos m, and tan m. give the exact value and …
$\sin M=\frac{52}{173}\approx0.3006$, $\cos M=\frac{165}{173}\approx0.9538$, $\tan M=\frac{52}{165}\approx0.3152$
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use the inverse trigonometric keys on a calculator to find the measure …
\(55\)
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determine how to translate triangle abc to triangle abc. (x + 2, y - 5)…
We need to know the coordinates of corresponding points of $\triangle A'B'C'$ and $\triangle ABC$ to determine the exact translation. But based on the given options, we would chec…
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use the inverse trigonometric keys on a calculator to find the measure …
\(55\)
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2. m∠abc = 61°. find m∠abd and m∠dbc. 3. ∠abc = 115°. find m∠abd and m∠…
$m\angle ABD = 37^{\circ}$, $m\angle DBC=24^{\circ}$