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4. Dilations & Similarity
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United States of AmericaMD
Grade 8

4.03 Proportions and similar polygons

Lesson
Practice

Interactive practice questions

Find the value of $u$u using a proportion statement.

Two similar triangles. The smaller triangle, positioned on the left, has its vertices labeled A, B, and C. The larger triangle, situated on the right, has its vertices labeled D, E, and F. Angle A of triangle(ABC) is congruent to angle D of triangle(DEF), as indicated by a single arc on each of these angles. Additionally, angle C of triangle(ABC) is congruent to angle F of triangle(DEF), with this congruence denoted by two arcs on these angles. In $\triangle ABC$△ABC, sides AB which is opposite to angle C measures $16$16 units. Side AC which is opposite to angle B  measures $8$8 units. In $\triangle DEF$△DEF, side DE which is opposite angle F measures $u$u units, and side DF which is opposite angle E measures $18$18 units
Easy
1min

Consider the attached figure.

Easy
< 1min

The two quadrilaterals in the diagram are similar.

If $r=9$r=9 in., $s=17$s=17 in. and $c=5$c=5 in., solve for the exact value of $d$d.

Medium
2min

The two quadrilaterals in the diagram are similar.

If $a=20$a=20 cm, $d=68$d=68 cm and $s=51$s=51 cm, solve for $p$p.

Medium
1min
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Outcomes

8.G.A.4

Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.

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