Properties of Similar Triangles
Read this topicExplanations 2
- Similar triangles are triangles that are the same shape but do not necessarily have the same area. These triangles can be identified using several methods: AA (angle angle), SAS…
By Oshadha Gunasekara
- This is another way of saying Corresponding Parts of Similar Triangles are in Proportion, or CPSTP. That is, if △ABC∼△DEF\triangle ABC \sim \triangle DEF△ABC∼△DEF, then ∠A≅∠D\an…
By Freya Edholm, Alex Federspiel
Problems 7
- In rectangle ABCD,ABCD,ABCD, AB=6AB=6AB=6 and BC=3BC=3BC=3. Point EEE between BBB and CCC, and point FFF between EEE and CCC are such that BE=EF=FCBE=EF=FCBE=EF=FC. Segments AE‾…
- In regular hexagon ABCDEFABCDEFABCDEF, points WWW, XXX, YYY, and ZZZ are chosen on sides BC‾\overline{BC}BC, CD‾\overline{CD}CD, EF‾\overline{EF}EF, and FA‾\overline{FA}FA respe…
- Triangle A has sides of lengths 3, 4, and 5. Triangle B is similar to triangle A and has an area of 24. What is the length of the longest side of triangle B?
- If you have similar triangles, you can also use proportions to find a missing length. Solve for xxx, rounded to the nearest hundredth.
- You'd like to pass the puck to your teammate, but there's an opponent directly in between you. You decide your best chance is to bank a shot off the boards (the wall). You're tw…
- What is the measure of the angle indicated by the question mark, if the angles marked aaa have measure aaa degrees, and the angles marked ccc have measure ccc degrees?
- If triangle ABCABCABC and triangle DEFDEFDEF in the figure above are similar, which of the following pairs of angles are equal? Mark all that apply.