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Geometry 07.08 Segment Two Exam Part One

Mathematics15 CardsCreated 4 months ago

This flashcard set focuses on identifying and understanding the relationships between sine and cosine ratios in right triangles, as covered in the Geometry Segment Two Exam Part One. Great for quick review and exam prep.

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Use the image below to answer the following question:
What relationship do the ratios of sin x° and cos y° share?
The ratios are both identical. 12 / 13 and 12 / 13
The ratios are opposites. -12 / 13 and 12 / 13
The ratios are reciprocals. 12 / 13 and 13 / 12
The ratios are both negative. -12 / 13 and -13 / 12

The ratios are both identical. 12 / 13 and 12 / 13

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Key Terms

Term
Definition

Use the image below to answer the following question:
What relationship do the ratios of sin x° and cos y° share?
The ratios are both identical. 12 / 13 and 12 / 13
The ratios are opposites. -12 / 13 and 12 / 13
The ratios are reciprocals. 12 / 13 and 13 / 12
The ratios are both negative. -12 / 13 and -13 / 12

The ratios are both identical. 12 / 13 and 12 / 13

Write an equation of a line that passes through the point (8, 4) and is parallel to the line y = 4x + 2.
y = 4x − 28
y = 4x + 28
y = x − 2
y = x + 2

y = 4x − 28

Calculate the area of triangle ABC with altitude CD, given A (6, 0), B (1, 5), C (2, 0), and D (4, 2).
5 square units
8 square units
10 square units
13 square units

10 square units

A segment with endpoints A (3, 4) and C (5, 11) is partitioned by a point B such that AB and BC form a 2:3 ratio. Find B.
(3.8, 6.8)
(3.9, 4.8)
(4.2, 5.6)
(4.3, 5.9)

(3.8, 6.8)

Two boats start their journey from the same point A and travel along directions AC and AD, as shown below:
What is the distance, CD, between the boats?
284.3 ft
115.5 ft
230.9 ft
173.2 ft

115.5 ft

Find the perimeter of a quadrilateral with vertices at C (−2, 4), D (−3, 1), E (1, 0), and F (−1, 2). Round your answer to the nearest hundredth when necessary.
10 units
10.77 units
11.52 units
12.35 units

12.35 units

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Geometry 07.08 Segment Two Exam Part One
TermDefinition

Use the image below to answer the following question:
What relationship do the ratios of sin x° and cos y° share?
The ratios are both identical. 12 / 13 and 12 / 13
The ratios are opposites. -12 / 13 and 12 / 13
The ratios are reciprocals. 12 / 13 and 13 / 12
The ratios are both negative. -12 / 13 and -13 / 12

The ratios are both identical. 12 / 13 and 12 / 13

Write an equation of a line that passes through the point (8, 4) and is parallel to the line y = 4x + 2.
y = 4x − 28
y = 4x + 28
y = x − 2
y = x + 2

y = 4x − 28

Calculate the area of triangle ABC with altitude CD, given A (6, 0), B (1, 5), C (2, 0), and D (4, 2).
5 square units
8 square units
10 square units
13 square units

10 square units

A segment with endpoints A (3, 4) and C (5, 11) is partitioned by a point B such that AB and BC form a 2:3 ratio. Find B.
(3.8, 6.8)
(3.9, 4.8)
(4.2, 5.6)
(4.3, 5.9)

(3.8, 6.8)

Two boats start their journey from the same point A and travel along directions AC and AD, as shown below:
What is the distance, CD, between the boats?
284.3 ft
115.5 ft
230.9 ft
173.2 ft

115.5 ft

Find the perimeter of a quadrilateral with vertices at C (−2, 4), D (−3, 1), E (1, 0), and F (−1, 2). Round your answer to the nearest hundredth when necessary.
10 units
10.77 units
11.52 units
12.35 units

12.35 units

Point A is located at (2, 6), and point M is located at (−1, 8). If point M is the midpoint of , find the location of point B.
(5, 4)
(0.5, 7)
(0, 6)
(−4, 10)

(−4, 10)

A lamppost, CAB, bent at point A after a storm. The tip of the lamppost touched the ground at point C, as shown below:
What is the height, in feet, of the portion AB of the lamppost?
20 / tan 55°
20 cos 55°
20 tan 55°
20 / cos 55°

20 tan 55°

Sammy is classifying quadrilateral EFGH. How can she use coordinate geometry to determine whether EFGH is a parallelogram?E(0, 4), F(0, 7), G(1, 5), H(1, 2)
Sammy can use the distance formula to show that the opposite sides have equal slopes.
Sammy can use the distance formula to show that all sides are equal.
Sammy can use the slope formula to show that the opposite sides have equal slopes.
Sammy can use the slope formula to show that all sides are equal.

Sammy can use the slope formula to show that the opposite sides have equal slopes

Leo drew a line that is perpendicular to the line shown on the grid and passes through point (F, G).
Which of the following is the equation of Leo's line?
y − G = −2(x − F)
y + F = 2(x + G)
y + F = (x + G)
y − G = (x − F)

y − G = −2(x − F) WRONG

The picture below shows a box sliding down a ramp:What is the distance, in feet, that the box has to travel to move from point A to point C?
14 sin 68°
14 cosec 68°
14 / sec 68°
14 / cot 68°

14 cosec 68°

Segment AB has point A located at (8, 9). If the distance from A to B is 10 units, which of the following could be used to calculate the coordinates for point B
10 = square root of the quantity of x plus 8 all squared plus y plus 9 all squared
10 = square root of the quantity of x plus 9 all squared plus y plus 8 all squared
10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared
10 = square root of the quantity of x minus 9 all squared plus y minus 8 all squared

10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared

Which pair of angles has congruent values for the sin x° and the cos y°?
35°; 55°
35°; 145°
35°; 70°
35°; 35°

35°; 55°

The figure below shows a triangular piece of cloth:
What is the length of the portion BC of the cloth?
6 cos 32°
6 sin 32°
cos 32° / 6
sin 32° / 6

6 sin 32°

The figure below shows a triangular wooden frame ABC. The side AD of the frame has rotted and needs to be replaced:
What is the length of the wood that is needed to replace AD?
6.2 inches
4.2 inches
6.9 inches
5.1 inches

5.1 inches