9.2 special right triangles
Authored by Kevin Cruess
Mathematics
10th Grade
CCSS covered
Used 1K+ times
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Get to know the world of special right triangles with this engaging Quizizz quiz, crafted by Kevin Cruess for 10th-grade math enthusiasts. This interactive assessment, featuring 20 medium-difficulty multiple-choice questions, challenges students to master the properties of 45-45-90 and 30-60-90 triangles. Students will explore the relationships between the squizIdes, using specific ratios to find missing lengths, all while visualizing problems through helpful diagrams. With time limits ranging from 30 seconds to 1 minute per question, this quiz is designed to sharpen students' skills and boost their confquizIdence in geometry, aligning with K–12 curriculum standards. Understanding the intricacies of 45-45-90 and 30-60-90 triangles is crucial for students, as these concepts form the foundation for advanced trigonometry. In a 45-45-90 triangle, students learn that the legs are equal, and the hypotenuse is a leg multiplied by √2. For 30-60-90 triangles, the hypotenuse is twice the shorter leg, and the longer leg is the shorter leg multiplied by √3. Mastery of these relationships not only aquizIds in solving real-world problems but also enhances performance in future courses like pre-calculus and calculus. Recognizing when to apply these properties versus the Pythagorean theorem is a key skill for any budding mathematician. Encourage students to regularly practice these special right triangle relationships to ensure long-term retention. Teachers can incorporate these concepts into hands-on activities and real-world applications, making learning both fun and relevant. Quizizz offers an exciting, game-based approach that motivates students through friendly competition and immediate feedback, while allowing teachers to track progress and tailor instruction to diverse learning needs. Explore Quizizz's ready-made resources to support your geometry curriculum and empower your students to excel in mathematics with confquizIdence and enthusiasm.
Content View
Student View
20 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...
Tags
CCSS.8.G.B.8
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the length of y in this picture?
Tags
CCSS.HSG.SRT.C.8
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
In this 45-45-90 triangle, I have been given the length of a leg. How do I find the length of the hypotenuse?
Tags
CCSS.8.G.B.8
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the length of x in this 45-45-90 triangle?
Tags
CCSS.8.G.B.8
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the length of y in this 45-45-90 triangle?
Tags
CCSS.8.G.B.8
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which side is the long leg in this 30-60-90 triangle?
Tags
CCSS.HSG.CO.C.10
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which side is the short leg of this 30-60-90 triangle?
Tags
CCSS.HSG.CO.C.10
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