SaiBook.us SAT-3

Lesson Example Discussion Quiz: Class Homework

Quiz In Class

Title: Geometry

Grade: Top-SAT3 Lesson: S3-P1

Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the ten problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts.

Quiz: in Class

Problem Id	Problem	Options
1	Points A and B lie on a circle with a radius 1, and arc \$\overarc(AB)\$ has length \$\pi/3\$.What fraction of the circumference of the circle is the length of arc \$\overarc(AB)\$?	A) \$1/6\$ B) 6 C) \$16/1\$ D) \$11/6\$
2	\$(x-6)^2 + (y+5)^2 =16\$ In the xy-plane, the graph of the equation above is a circle. Point P is on the circle and has coordinates(10, -5). If \$\bar{PQ}\$ is the diameter of the circle, what are the coordinates of point Q?	A) (-5,2) B) (1,-2) C) (6,-5) D) (2,-5)
3	In triangle ABC, AB=13 cm, BC=14 cm, and AC=15 cm. Let D be the midpoint of BC. A circle passing through A and D intersects the segment AC at points A and E. Find the area of triangle ADE.	A) 48 B) 88 C) 84 D) 44
4	The two triangles in the figure above, labeled A and B, each have the same area. The base of triangle B is percent longer than the base of triangle A, and the height of triangle B is r percent less than the height of triangle A. If p - r =5, which of the following could be the value of p? $4$	A) 15 B) 18 C) 25 D) 23
5	The perimeter of an equilateral triangle is 522 centimeters. The height of this triangle is \$k\sqrt3\$centimeters, where k is aconstant. What is the value of k?	A) 88 B) 98 C) 90 D) 87
6	In the figure above, AB ± BD, EC ± BD and EC bisects both BD and AD. If ED = 13 and EC = 5, what is the perimeter of the shaded region? $6$	A) 26 B) 34 C) 36 D) 44
7	In triangle ABC, the measure of angle B is \$90\degree\$, and \$\bar BD\$ is the altitude of the triangle. The length of \$\barAB\$ is 30 and the length of \$\barAC\$ is 28 greater than the length of \$\barAB\$. What is the value of \$BC/BD\$?	A) \$30/58\$ B) \$28/58\$ C) \$30/28\$ D) \$30/58\$
8	In triangle RST, angle T is a right angle, point L lies on \$\barRS\$, point K lies on \$\barST\$, and \$\barLK\$ is parallel to \$\barRT\$. If the length of \$\barRT\$ is 72 units, the length of \$\barLK\$ is 24 units, and the area of triangle RST is 792 square units, what is the length of \$\barKT\$, in units?	A) \$33/3\$ B) \$44/3\$ C) \$3/44\$ D) \$22/3\$
9	A line AB meets X - axis at A and Y - axis at B. P (8, -2) divides AB in the ratio 2 : 4. Find the equation of the line through P and perpendicular to AB. $9$	A) 2x + y - 7 = 0 B) 2x + 3y - 14 = 0 C) 2x + y - 14 = 0 D) 2x + y + 14 = 0
10	Find the value of x such that the lines through the points (8, -6) and (10, x) is perpendicular to the line through the points (5, 3) and (6, - 4)?	A) \$-82/7\$ B) \$82/7\$ C) \$83/7\$ D) \$-82/9\$

Problem Id

Problem

Options

Points A and B lie on a circle with a radius 1, and arc \$\overarc(AB)\$ has length \$\pi/3\$.What fraction of the circumference of the circle is the length of arc \$\overarc(AB)\$?

A) \$1/6\$

B) 6

C) \$16/1\$

D) \$11/6\$

\$(x-6)^2 + (y+5)^2 =16\$
In the xy-plane, the graph of the equation above is a circle. Point P is on the circle and has coordinates(10, -5). If \$\bar{PQ}\$ is the diameter of the circle, what are the coordinates of point Q?

A) (-5,2)

B) (1,-2)

C) (6,-5)

D) (2,-5)

In triangle ABC, AB=13 cm, BC=14 cm, and AC=15 cm. Let D be the midpoint of BC. A circle passing through A and D intersects the segment AC at points A and E. Find the area of triangle ADE.

A) 48

B) 88

C) 84

D) 44

The two triangles in the figure above, labeled A and B, each have the same area. The base of triangle B is percent longer than the base of triangle A, and the height of triangle B is r percent less than the height of triangle A. If p - r =5, which of the following could be the value of p?

$4$

A) 15

B) 18

C) 25

D) 23

The perimeter of an equilateral triangle is 522 centimeters. The height of this triangle is \$k\sqrt3\$centimeters, where k is aconstant. What is the value of k?

A) 88

B) 98

C) 90

D) 87

In the figure above, AB ± BD, EC ± BD and EC bisects both BD and AD. If ED = 13 and EC = 5, what is the perimeter of the shaded region?

$6$

A) 26

B) 34

C) 36

D) 44

In triangle ABC, the measure of angle B is \$90\degree\$, and \$\bar BD\$ is the altitude of the triangle. The length of \$\barAB\$ is 30 and the length of \$\barAC\$ is 28 greater than the length of \$\barAB\$. What is the value of \$BC/BD\$?

A) \$30/58\$

B) \$28/58\$

C) \$30/28\$

D) \$30/58\$

In triangle RST, angle T is a right angle, point L lies on \$\barRS\$, point K lies on \$\barST\$, and \$\barLK\$ is parallel to \$\barRT\$. If the length of \$\barRT\$ is 72 units, the length of \$\barLK\$ is 24 units, and the area of triangle RST is 792 square units, what is the length of \$\barKT\$, in units?

A) \$33/3\$

B) \$44/3\$

C) \$3/44\$

D) \$22/3\$

A line AB meets X - axis at A and Y - axis at B. P (8, -2) divides AB in the ratio 2 : 4. Find the equation of the line through P and perpendicular to AB.

$9$

A) 2x + y - 7 = 0

B) 2x + 3y - 14 = 0

C) 2x + y - 14 = 0

D) 2x + y + 14 = 0

Find the value of x such that the lines through the points (8, -6) and (10, x) is perpendicular to the line through the points (5, 3) and (6, - 4)?

A) \$-82/7\$

B) \$82/7\$

C) \$83/7\$

D) \$-82/9\$