1.
Find 'x'
Correct Answer
A. X=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.
2.
Find the value of 'P"
Correct Answer
B. P=13
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'.
3.
Find BE
Correct Answer
B. BE=2.1
Explanation
The given correct answer is BE=2.1. This means that the value of BE is equal to 2.1.
4.
Find the measure of DE
Correct Answer
C. 22
Explanation
The measure of DE is 22.
5.
Identify the type of transformation and veriyfy that it is a congruence transformation
Correct Answer
D. Reflection SAS 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.
6.
Name the missing coordinates of isosceles right triangle ABC.
Correct Answer
C. A(0,a) B(0,0) C(a,0)
7.
Find the perimeter and the area of the parallelogram
Correct Answer
A. P=76m, A=288 m^{2}
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.
8.
Find 'x'
Correct Answer
B. X=17 cm
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.
9.
The ratio of the measures of the angles in a triangle is 3:4:5. Find the measures of the angles.
Correct Answer
B. 45,60,75
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.
10.
Find the value of each variable if △JLM ∼ △QST
Correct Answer
C. X=1.5,y=4