9.2 special right triangles

9.2 special right triangles

10th Grade

20 Qs

quiz-placeholder

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9.2 special right triangles

9.2 special right triangles

Assessment

Quiz

Mathematics

10th Grade

Medium

CCSS
8.G.B.8, HSG.SRT.C.8, HSG.CO.C.10

+1

Standards-aligned

Created by

Kevin Cruess

Used 1K+ times

FREE Resource

About this resource

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 sides, 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 confidence 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 aids 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 confidence and enthusiasm.

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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image
In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...
Multiply that leg by 2
Use the same length for the second leg
Multiply that leg by √2
Divide that leg by √2

Tags

CCSS.8.G.B.8

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image
What is the length of y in this picture?
45
5√2
90
5

Tags

CCSS.HSG.SRT.C.8

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image
In this 45-45-90 triangle, I have been given the length of a leg.  How do I find the length of the hypotenuse?
It is the same length as the given leg.
Multiply that leg's length by √2.
Multiply that leg's length by 2.
Divide that leg's length by √2.

Tags

CCSS.8.G.B.8

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image
What is the length of x in this 45-45-90 triangle?
4√2
4
8
4√3

Tags

CCSS.8.G.B.8

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image
What is the length of y in this 45-45-90 triangle?
8√2
4√2
4
8

Tags

CCSS.8.G.B.8

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image
Which side is the long leg in this 30-60-90 triangle?
4
u
v

Tags

CCSS.HSG.CO.C.10

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image
Which side is the short leg of this 30-60-90 triangle?
6
m
n

Tags

CCSS.HSG.CO.C.10

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