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GRADE 8 MATHEMATICS - UNIT 3 / UNIT 3 (CALCULATOR) / 6 OF 10

60%
Quadrilaterals
RSTU and
ABCD are shown on the coordinate plane.
Listen
A student says that the quadrilaterals are not similar because they are not the same shape. The student also says that the quadrilaterals are not congruent.

Determine whether the student is correct in terms of similarity. Explain your answer.
Determine whether the student is correct in terms of congruence. Explain your answer.
Use a sequence of transformations as part of your explanations.

Review $: \equiv$ $\newline$ Bookmark $\newline$ GRADE $8$ MATHEMATICS - UNIT $3$ / UNIT $3$ (CALCULATOR) / $6$ OF $10$ $\newline$ $60 \%$ $\newline$ Quadrilaterals $R S T U$ and $A B C D$ are shown on the coordinate plane. $\newline$ Listen $\newline$ A student says that the quadrilaterals are not similar because they are not the same shape. The student also says that the quadrilaterals are not congruent. $\newline$ - Determine whether the student is correct in terms of similarity. Explain your answer. $\newline$ - Determine whether the student is correct in terms of congruence. Explain your answer. $\newline$ - Use a sequence of transformations as part of your explanations.

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Experimental probability

Full solution

Q. Review

: \equiv

\newline

Bookmark

\newline

GRADE

8

MATHEMATICS - UNIT

3

/ UNIT

3

(CALCULATOR) /

6

OF

10

\newline

60 \%

\newline

Quadrilaterals

R S T U

and

A B C D

are shown on the coordinate plane.

\newline

Listen

\newline

A student says that the quadrilaterals are not similar because they are not the same shape. The student also says that the quadrilaterals are not congruent.

\newline

- Determine whether the student is correct in terms of similarity. Explain your answer.

\newline

- Determine whether the student is correct in terms of congruence. Explain your answer.

\newline

- Use a sequence of transformations as part of your explanations.

Identify Properties: Identify the properties of similar figures; they must have the same shape with corresponding angles equal and sides proportional.
Check Angles and Sides: Check if quadrilaterals $RSTU$ and $ABCD$ have corresponding angles that are equal by measuring or calculating the angles.
Compare Lengths: Compare the lengths of corresponding sides to see if they are proportional. If the sides of one quadrilateral are a constant multiple of the sides of the other, they are similar.
Identify Congruent Figures: Identify the properties of congruent figures; they must have the same shape and size with all corresponding angles and sides equal.
Check Corresponding Sides: Check if quadrilaterals $RSTU$ and $ABCD$ have corresponding sides that are equal by measuring or calculating the side lengths.
Use Transformations: Use a sequence of transformations (translation, rotation, reflection, or dilation) to see if one quadrilateral can be mapped onto the other. If it can, they are congruent.
Check Similarity vs Congruence: If a sequence of transformations shows that the quadrilaterals have the same shape but different sizes, they are similar but not congruent.
Final Conclusion: If no sequence of transformations can map one quadrilateral onto the other, they are neither similar nor congruent.
Final Conclusion: If no sequence of transformations can map one quadrilateral onto the other, they are neither similar nor congruent. Make a conclusion based on the above checks to determine if the student's claim is correct.

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