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Lesson Example Discussion Quiz: Class Homework

Quiz In Class

Title: Slopes & Lines

Grade: 1400-a Lesson: S3-L4

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	In triangle ABC, the measure of angle B is 90°, and \$\bar "BD"\$ is the altitude of the triangle. The length of \$\bar "AB"\$ is 30 and the length of \$\bar "AC"\$ is 28 greater than the length of \$\bar "AB"\$. What is the value of \$"BC" / "BD"\$?	A) \$28/30\$ B) \$30/28\$ C) \$58/30\$ D) \$30/58\$
2	In triangle RST, angle T is a right angle, point L lies on \$\bar "RS"\$, point K lies on \$\bar "ST"\$, and \$\bar "LK"\$ is parallel to \$\bar "RT"\$. If the length of \$\bar "RT"\$ is 72 units, the length of \$\bar "LK"\$ is 24 units, and the area of triangle RST is 792 square units, what is the length of \$\bar "KT"\$, in units?	A) \$33/3\$ B) \$22/3\$ C) \$3/44\$ D) \$44/3\$
3	Find the values of x, y, and, z in the figure. $3$	A) x = 24 y = 62 z = 12 B) x = 22 y = 66 z = 11 C) x = 22 y = 64 z = 11 D) x = 22 y = 64 z = 12
4	Find the shortest distance from the point (2, 3, 4) to the line passing through the points (1, 2, 0) and (-2, 1, 2).	A) \$4/(\sqrt 14)\$ B) \$2/(\sqrt 14)\$ C) \$4/(\sqrt 7)\$ D) \$4/(\sqrt 5)\$
5	A line l1 passes through the point A(2,3) and is perpendicular to the line 2x−3y=5. Another line l2 passes through the point B(1,−2) and is perpendicular to l1 . Find the equation of l2 .	A) y = \$2/3x - 8/3\$ B) y = \$2/5x - 8/3\$ C) y = \$2/3x - 8/5\$ D) y = \$3/2x - 8/3\$
6	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. $6$	A) 2x + y -7 = 0 B) 2x + y -14 = 0 C) 2x + 3y -14 = 0 D) 2x + y + 14 = 0
7	The triangle formed by the lines x + 2y = 1, 3x + 2y – 4 = 0 and x – y + 1 = 0 lies in which quardinate.	A) \$3^"rd" " quardinate"\$ B) \$2^"nd" " quardinate"\$ C) \$4^"th" " quardinate"\$ D) \$1^"st" " quardinate"\$
8	The slope of the normal to the curve \$y = 2x^2 - 4\$ at P(1, -2) is	A) \$1/4\$ B) \$4\$ C) \$-1/4\$ D) \$-4\$
9	Find the value of 'P' for which lines (-P )x + y - 4 = 0 and ( 4 + P)x - 4y + 6 = 0 are perpendicular?	A) 4 B) 2 C) -2 D) -4
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) \$83/7\$ B) \$82/7\$ C) \$-82/9\$ D) \$-82/7\$

Problem Id

Problem

Options

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

A) \$28/30\$

B) \$30/28\$

C) \$58/30\$

D) \$30/58\$

In triangle RST, angle T is a right angle, point L lies on \$\bar "RS"\$, point K lies on \$\bar "ST"\$, and \$\bar "LK"\$ is parallel to \$\bar "RT"\$. If the length of \$\bar "RT"\$ is 72 units, the length of \$\bar "LK"\$ is 24 units, and the area of triangle RST is 792 square units, what is the length of \$\bar "KT"\$, in units?

A) \$33/3\$

B) \$22/3\$

C) \$3/44\$

D) \$44/3\$

Find the values of x, y, and, z in the figure.

$3$

A) x = 24 y = 62 z = 12

B) x = 22 y = 66 z = 11

C) x = 22 y = 64 z = 11

D) x = 22 y = 64 z = 12

Find the shortest distance from the point (2, 3, 4) to the line passing through the points (1, 2, 0) and (-2, 1, 2).

A) \$4/(\sqrt 14)\$

B) \$2/(\sqrt 14)\$

C) \$4/(\sqrt 7)\$

D) \$4/(\sqrt 5)\$

A line l1 passes through the point A(2,3) and is perpendicular to the line 2x−3y=5. Another line l2 passes through the point B(1,−2) and is perpendicular to l1 . Find the equation of l2 .

A) y = \$2/3x - 8/3\$

B) y = \$2/5x - 8/3\$

C) y = \$2/3x - 8/5\$

D) y = \$3/2x - 8/3\$

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.

$6$

A) 2x + y -7 = 0

B) 2x + y -14 = 0

C) 2x + 3y -14 = 0

D) 2x + y + 14 = 0

The triangle formed by the lines x + 2y = 1, 3x + 2y – 4 = 0 and x – y + 1 = 0 lies in which quardinate.

A) \$3^"rd" " quardinate"\$

B) \$2^"nd" " quardinate"\$

C) \$4^"th" " quardinate"\$

D) \$1^"st" " quardinate"\$

The slope of the normal to the curve \$y = 2x^2 - 4\$ at P(1, -2) is

A) \$1/4\$

B) \$4\$

C) \$-1/4\$

D) \$-4\$

Find the value of 'P' for which lines (-P )x + y - 4 = 0 and ( 4 + P)x - 4y + 6 = 0 are perpendicular?

A) 4

B) 2

C) -2

D) -4

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) \$83/7\$

B) \$82/7\$

C) \$-82/9\$

D) \$-82/7\$