3rd quarter reviwer G9

The mathematics enthusiasts are building a parallelogram type of frame. They are asked to find the measure of a specific angle of it. Consider a parallelogram shaped MOLE below. The measure of ∠O is 3x + 40, while the measure of ∠E is 5x + 20, what is the measure of ∠L?

• 80^o

• 110^o

Ana is designing a trapezoid-shaped window whose height is 50 mm.  What is the length of the median of the trapezoid-shaped window if its area is 8,500 mm²?

• 160mm

• 170mm

A farmer wants to build a kite-shaped pond on their land with an area of 27 m². One diagonal of the pond is planned to be three times the length of the other. What are the lengths of the diagonals?

A recipe calls for 4 cups of flour to make 8 servings of bread. If you want to make 20 servings of bread, which will help to determine the number of cups of flour that you need?

• similarity

• proportion

A school organizes students into groups for different activities. Each group must maintain a specific ratio of boys to girls:

Group A: 3 boys for every 6 girls

Group B: 4 boys for every 8 girls

Group C: 5 boys for every 10 girls

Group D: 5 boys for every 20 girls

Does “5:20 = 4:8” show a proportion?

• yes

• no

A map is drawn to the scale of 1 cm: 7 km. If the distance between two towns on the map is 4 cm, what is the actual distance between the towns?

• 28 km

• 30 km

A builder is constructing two triangular roofs. The two angles of first triangle are 90^o and 37^o , respectively while the two corresponding angles of the second triangle are 90^o and 37^o , respectively. The builder wants to confirm the similarity of the figures based on their angles. What triangle similarity applies?

• AA

• SAS

An engineer plans to design a model of a bridge truss. The model uses two similar triangular support beams. The sides of the smaller triangle are 3 m, 4 m, and 5 m, respectively and the sides of the larger triangle are 6 m, 8 m, x m, respectively. Which of these measure would be the value of x?

• 8

• 10

• 2

• 4

Liza’s friend told her that “the building’s windows were made triangular in shape and seemed to maintain identical”. She remembered and examined about what she was told about the windows and tried to make a conclusion that these things were mere similar by AA Similarity and not necessarily congruent. Which is TRUE about the AA Similarity Theorem?

• The third angle of the similar triangles are congruent.

• All corresponding sides of similar triangles need to be equal in length.