Mathematics 9 Periodical Exam

Hey there, geometry whizzes! 🌟 Which of the following statements can our friend Benjamin use to prove that quadrilateral ABCD is a parallelogram?

• AC and BD bisect each other

• AC and EB are congruent

• AB and BC are congruent

Hey Ava, Zoe, and Emma! Imagine you're in a geometry adventure where you need to unlock the secrets of quadrilateral ABCD. Given that m∠CBA = 100°, what must be the measure of m∠ADC to prove that our mysterious quadrilateral ABCD is actually a parallelogram? Put on your thinking caps!

• 80°

• 90°

• 100°

Hey there, geometry whizzes! Luna, Daniel, and Anika are trying to figure out the secret behind proving that quadrilateral ABCD is a parallelogram. Can you help them out? Which statement below can unlock the mystery?

• AB≅BC and CD≅DA

• AB≅AD and CD≅CB

• AB≅DC and AD≅BC

Hey there, math wizards! Elijah, Zoe, and Benjamin are working on a fun geometry challenge. Given that m∠ABC = 100°, can you help them figure out what m∠BCD and m∠DAB need to be in order to prove that quadrilateral ABCD is a parallelogram? Put on your thinking caps!

• 20°, 20°

• 80°, 80°

• 90°, 90°

Hey there, math whizzes! If Hannah and Aiden were to build a shape together, they would choose a parallelogram. Can you guess how many sides this shape has? It's a fun challenge! Every parallelogram has _____ sides?

• 2

• 4

• 6

Hey there, art enthusiasts! Imagine Lucille is showcasing her stunning photos, and they come in two fabulous sizes: 14 cm x 9 cm and 15 cm x 10 cm. Now, the big question is: are these dimensions proportional? Let's help Lucille out!

• Absolutely, they are!

• No way, José!

• Hmm, maybe?

Hey there, adventurous students! Henry, Mia, and Emma were curious about where their classmates would rather go for a fun field trip: the historical site of Corregidor or the delicious ice cream plant. In Class A, 10 out of 15 students chose the exciting trip to Corregidor, while in Class B, 20 out of 30 students also preferred the adventure to Corregidor. So, the big question is: Are these preferences proportional?

• Yes

• No

• Maybe

Hey there, BBQ master! Priya is planning a family gathering and wants to impress everyone with her delicious barbeque spareribs. The original recipe serves 4 hungry folks with just one kilo of pork spareribs. Now, if she wants to feed 20 people, how many kilos of pork spareribs should she grab from the store? Let’s help her out!

• 5 kilos

• 6 kilos

• 7 kilos

Hey there, Daniel! Imagine you’re on a shopping spree with your friends Benjamin and Charlotte. You find out that five notebooks cost Php162.5. If you decide to buy 12 notebooks at this awesome rate, how much will you spend in total?

• Php 32.5

• Php 325

• Php 390