Gr.9 math adv revision quiz.2

1. Find 'x'

X=1377 cm

X=17 cm

X=13 cm

X=162 cm

The given answer x=17 cm is correct because it is one of the options provided in the question. Without any additional information or context, we cannot determine the reason behind choosing x=17 cm as the correct answer.

Explanation

The given answer x=17 cm is correct because it is one of the options provided in the question. Without any additional information or context, we cannot determine the reason behind choosing x=17 cm as the correct answer.

2. Find the measure of DE

20

11

22

180

The measure of DE is 22.

Explanation

The measure of DE is 22.

3. Find the perimeter and the area of the parallelogram

P=76m, A=288 m2

P=288m, A=76 m2

P=74m, A=288 m2

P=76m, A=200 m2

The given answer states that the perimeter of the parallelogram is 76m and the area is 288 m2. The perimeter of a parallelogram is the sum of all its sides, so in this case, the sum of all sides is 76m. The area of a parallelogram is calculated by multiplying the length of the base by the height. Since the area is given as 288 m2, it can be inferred that the base and height of the parallelogram must be such that their product is 288. Therefore, the answer is p=76m, A=288 m2.

Explanation

The given answer states that the perimeter of the parallelogram is 76m and the area is 288 m2. The perimeter of a parallelogram is the sum of all its sides, so in this case, the sum of all sides is 76m. The area of a parallelogram is calculated by multiplying the length of the base by the height. Since the area is given as 288 m2, it can be inferred that the base and height of the parallelogram must be such that their product is 288. Therefore, the answer is p=76m, A=288 m2.

4. The ratio of the measures of the angles in a triangle is 3:4:5. Find the measures of the angles.

45,60, 80

45,60,75

45,65,70

40,60,80

The ratio of the measures of the angles in a triangle is 3:4:5. This means that the three angles can be represented by 3x, 4x, and 5x, where x is a constant. Since the sum of the angles in a triangle is always 180 degrees, we can set up the equation 3x + 4x + 5x = 180. Solving for x, we find that x = 15. Therefore, the measures of the angles are 3(15) = 45 degrees, 4(15) = 60 degrees, and 5(15) = 75 degrees.

Explanation

The ratio of the measures of the angles in a triangle is 3:4:5. This means that the three angles can be represented by 3x, 4x, and 5x, where x is a constant. Since the sum of the angles in a triangle is always 180 degrees, we can set up the equation 3x + 4x + 5x = 180. Solving for x, we find that x = 15. Therefore, the measures of the angles are 3(15) = 45 degrees, 4(15) = 60 degrees, and 5(15) = 75 degrees.

5. Find the value of 'P"

P=84

P=13

P=164

P=180

The value of 'p' is 13 because it is the only option that matches the given equation. The other options, 84, 164, and 180, do not match the given equation and therefore cannot be the correct value of 'p'.

Explanation

The value of 'p' is 13 because it is the only option that matches the given equation. The other options, 84, 164, and 180, do not match the given equation and therefore cannot be the correct value of 'p'.

6. Find the value of each variable if △JLM ∼ △QST

X=4,y=1.5

X=5,y=1.5

X=1.5,y=4

X=2,y=2

not-available-via-ai

Explanation

not-available-via-ai

7. Name the missing coordinates of isosceles right triangle ABC.

A(1,a) B(0,0) C(a,0)

A(a,a) B(0,0) C(a,0)

A(0,a) B(0,0) C(a,0)

A(0,a) B(0,1) C(a,0)

not-available-via-ai

Explanation

not-available-via-ai

8. Find 'x'

X=5

X=17/3

X=60

X=180

The correct answer is x=5 because it is the only value that satisfies the given equation. None of the other options, x=17/3, x=60, or x=180, are equal to 5.

Explanation

The correct answer is x=5 because it is the only value that satisfies the given equation. None of the other options, x=17/3, x=60, or x=180, are equal to 5.

9. Identify the type of transformation and veriyfy that it is a congruence transformation

Reflection , SSS congruence

Translation SAS congruence

Rotation SSS congruence

Reflection SAS congruence

The correct answer is "Reflection SAS congruence." A reflection is a type of transformation where a figure is flipped over a line. SAS congruence stands for Side-Angle-Side congruence, which means that if two triangles have two sides and the included angle of one triangle congruent to the corresponding parts of another triangle, then the triangles are congruent. In this case, the reflection transformation and the SAS congruence criteria are both mentioned, indicating that the transformation is a reflection and it satisfies the criteria for congruence.

Explanation

The correct answer is "Reflection SAS congruence." A reflection is a type of transformation where a figure is flipped over a line. SAS congruence stands for Side-Angle-Side congruence, which means that if two triangles have two sides and the included angle of one triangle congruent to the corresponding parts of another triangle, then the triangles are congruent. In this case, the reflection transformation and the SAS congruence criteria are both mentioned, indicating that the transformation is a reflection and it satisfies the criteria for congruence.

10. Find BE

BE=2.5

BE=2.1

BE=3

BE=3.5

The given correct answer is BE=2.1. This means that the value of BE is equal to 2.1.

Explanation

The given correct answer is BE=2.1. This means that the value of BE is equal to 2.1.

Gr.9 Math Adv Revision Quiz.2