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AustraliaNSW
Year 12

Using similarity proportion to solve problems

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 given triangles are similar.

Easy
< 1min

The two given triangles are similar.

Easy
< 1min
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Outcomes

MS1-12-3

interprets the results of measurements and calculations and makes judgements about their reasonableness

MS1-12-4

analyses two-dimensional and three-dimensional models to solve practical problems

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