Grade 8 | Unit 2: Dilations, Similarity, and Introducing Slope | End-of-Unit Assessment (B)
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Mathematics
6th Grade
8 covered
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This Grade 8 mathematics assessment comprehensively evaluates students' understanding of dilations, similarity, and slope within the coordinate plane and geometric contexts. The quiz targets 8th-grade level concepts that bridge geometric transformations with algebraic representations, requiring students to demonstrate both procedural fluency and conceptual understanding. Students must master the properties of dilations, including how scale factors affect side lengths while preserving angle measures, and understand that similarity is established through combinations of dilations and rigid transformations. The slope component requires students to calculate slope from graphs, write linear equations, and determine whether points lie on given lines. Core reasoning skills include recognizing that dilations preserve angle measures but change side lengths proportionally, understanding that similar figures can be mapped onto each other through similarity transformations, calculating slope using rise over run, and connecting geometric dilations to algebraic representations of lines. This quiz was created by a classroom teacher who designed it for students studying 8th-grade geometry and algebra concepts. The assessment serves as a comprehensive end-of-unit evaluation that can effectively measure student mastery of the interconnected concepts of similarity and slope. Teachers can utilize this assessment for summative evaluation purposes, or break it into smaller sections for formative assessment throughout the unit. The mix of multiple-choice questions for quick concept checks and open-ended problems requiring detailed explanations makes it versatile for differentiated instruction and provides valuable insight into student thinking. This assessment aligns with Common Core State Standards 8.G.A.3 (describing the effect of dilations and similarity transformations), 8.G.A.4 (understanding similarity through transformations), and 8.EE.B.6 (deriving equations for lines with given slopes), supporting teachers in measuring student progress toward grade-level expectations while preparing students for high school geometry and algebra courses.
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15 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Han’s teacher asked him to draw a polygon similar to polygon A. Here is his work. Which explanation shows that polygons A and C are similar to each other?
Use a protractor to measure all four angles in polygon A and all four angles in polygon C. Since each angle in polygon A has a matching angle measure in polygon C, the polygons are similar.
Since each side in polygon C is three times as long as the corresponding side in polygon A, the figures are similar.
Dilate polygon C with center at the upper-right corner and a scale factor of 3. Since polygon C can be taken to polygon A with a dilation, the polygons are similar.
Tags
8.G.A.4
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Select the true statement.
Dilations of an angle must be congruent to the original angle.
Dilations of a triangle must be congruent to the original triangle.
Dilations of a segment must be congruent to the original segment.
Dilations of a circle must be congruent to the original circle.
Tags
8.G.A
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Find the slope of each line. A:
Tags
8.EE.B.6
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Find the slope of each line. B:
Tags
8.EE.B.6
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Find the slope of each line. C:
Tags
8.EE.B.6
6.
OPEN ENDED QUESTION
3 mins • 1 pt
Evaluate responses using AI:
OFF
Tags
8.G.A.5
7.
OPEN ENDED QUESTION
3 mins • 1 pt
Evaluate responses using AI:
OFF
Tags
8.G.A.4
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