Topics
Congruence and Similarity
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New Zealand
Level 6 - NCEA Level 1

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

GM6-5

Recognise when shapes are similar and use proportional reasoning to find an unknown length

91031

Apply geometric reasoning in solving problems

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