by BlastRoom
Apply proportions from similar triangles to indirect measurement situations.
#geometry

40 questions
One question set, multiple game modes. Tap any game to see it in action. Not sure which to pick?
Answer to place stones and capture territory.
Outrun the snow together.
Earn blasts, then hunt the other team.
Answer to earn energy, then climb.

The class blasts through walls together.
Bid on mystery lots. Most money wins.
Sell tours. Nice, standard, or a total scam.
Answer, restock, and serve the rush.
More correct answers pulls the rope your way.
Answer, then shoot down the alien wave.
Answer, then tap to leap the frozen ridge.
At the same time of day, a student and a tree cast shadows as shown. The student's triangle is similar to the tree's triangle. Heights correspond to heights and shadows to shadows. How tall is the tree?

A sign and a building cast shadows at the same time as shown. The sign's triangle is similar to the building's triangle. Heights correspond to heights and shadows to shadows. What is the height of the building?

A post and a statue cast shadows as shown. The post's triangle is similar to the statue's triangle. Heights correspond to heights and shadows to shadows. How tall is the statue?

A 1.6 m survey stick casts a 2.4 m shadow. A tower's shadow is 30 m. Stick triangle ~ tower triangle; heights correspond, shadows correspond. What is the tower height?
A pole and a chimney cast shadows at the same time in the diagram. The pole's triangle is similar to the chimney's triangle. Heights correspond to heights and shadows to shadows. How high is the chimney?

A marker and a cliff cast shadows at the same time as shown. The marker's triangle is similar to the cliff's triangle. Heights correspond to heights and shadows to shadows. What is the height of the cliff?

A cone and a sculpture cast shadows at the same time in the figure. The cone's triangle is similar to the sculpture's triangle. Heights correspond to heights and shadows to shadows. What is the height of the sculpture?

A tripod and a lamppost cast shadows as shown. The tripod's triangle is similar to the lamppost's triangle. Heights correspond to heights and shadows to shadows. How tall is the lamppost?

A model pole and a building cast shadows in the diagram. The model's triangle is similar to the building's triangle. Heights correspond to heights and shadows to shadows. What is the height of the building?

A student and a mast cast shadows at the same moment as shown. The student's triangle is similar to the mast's triangle. Heights correspond to heights and shadows to shadows. What is the height of the mast?

A pole and a silo cast shadows as shown. The pole's triangle is similar to the silo's triangle. Heights correspond to heights and shadows to shadows. How tall is the silo?

A tripod and a tall sign cast shadows at the same time. In the figure, the tripod triangle is similar to the sign triangle, with heights corresponding and shadows corresponding. What is the sign height?

A frame and a roof edge cast shadows at the same time. In the figure, the frame triangle is similar to the roof triangle, with heights corresponding and shadows corresponding. How high is the roof edge?

A 1 m meterstick casts a 1.6 m shadow. A column casts a 24 m shadow at the same time. Meterstick triangle ~ column triangle; heights correspond, shadows correspond. What is the column height?
A student and a monument cast shadows at the same time. In the figure, the student triangle is similar to the monument triangle, with heights corresponding and shadows corresponding. What is the monument height?

A 0.75 m cone casts a 1.25 m shadow while an antenna casts an 18.75 m shadow. Cone triangle ~ antenna triangle; heights correspond, shadows correspond. How tall is the antenna?
Nora sees the top of a tower in a mirror on the ground between them. In the figure, her eye triangle is similar to the tower triangle, with heights corresponding and distances to the mirror corresponding. What is the tower height?

Ava sees the top of a flagpole in a mirror on the ground. In the figure, her eye triangle is similar to the pole triangle, with heights corresponding and distances to the mirror corresponding. How tall is the flagpole?

A mirror at M on the ground reflects the top T of a statue to a person's eye E. F is at the person's feet, below E, and B is the base of the statue, below T. Triangle EFM is similar to triangle TBM. What is the statue height BT?

Leo sees the top of a wall in a mirror on the ground. In the figure, his eye triangle is similar to the wall triangle, with heights corresponding and distances to the mirror corresponding. What is the wall height?

Sam sees the top of a tree in a mirror on the ground. In the figure, his eye triangle is similar to the tree triangle, with heights corresponding and distances to the mirror corresponding. How tall is the tree?

A student sees the top of a sculpture in a mirror on the ground. In the figure, the eye triangle is similar to the sculpture triangle, with heights corresponding and distances to the mirror corresponding. What is the sculpture height?

Mia sees the top of a mast in a mirror on the ground. In the figure, her eye triangle is similar to the mast triangle, with heights corresponding and distances to the mirror corresponding. What is the mast height?

Ben sees the top of a building in a mirror on the ground between them. In the figure, his eye triangle is similar to the building triangle, with heights corresponding and distances to the mirror corresponding. How tall is the building?

A student sees the top of a water tower in a mirror on the ground. In the figure, the eye triangle is similar to the tower triangle, with heights corresponding and distances to the mirror corresponding. What is the tower height?

A student sees a roof peak in a mirror on the ground. In the figure, the eye triangle is similar to the roof triangle. Eye height corresponds to roof height, and the distances to the mirror correspond. What is the roof height?

Kai sees the top of a pole in a mirror on the ground between them. In the figure, his eye triangle is similar to the pole triangle, with heights corresponding and distances to the mirror corresponding. What is the pole height?

Jada sees the top of a statue in a mirror on the ground. In the figure, her eye triangle is similar to the statue triangle, with heights corresponding and distances to the mirror corresponding. How tall is the statue?

For a pond sight line, EF is parallel to CB, so triangle AEF is similar to triangle ACB. The figure draws the two triangles side by side. AE corresponds to AC, and EF corresponds to CB. What is CB?

To estimate a river width, EF is parallel to CB, so triangle AEF is similar to triangle ACB. The figure draws the two triangles side by side. AE corresponds to AC, and EF corresponds to CB. Find CB.

A student uses parallel sight lines across a ditch. EF is parallel to CB, so triangle AEF is similar to triangle ACB. The figure draws the two triangles side by side. AE corresponds to AC, and EF corresponds to CB. What is CB?

In a sight-line setup, EF is parallel to CB, so triangle AEF is similar to triangle ACB. The figure draws the two triangles side by side. AE corresponds to AC, and EF corresponds to CB. What is the distance CB?

A crew estimates a canal width with EF parallel to CB, so triangle AEF is similar to triangle ACB. The figure draws the two triangles side by side. AE corresponds to AC, and EF corresponds to CB. What is CB?

Across a marsh, EF is parallel to CB, so triangle AEF is similar to triangle ACB. The figure draws the two triangles side by side. AE corresponds to AC, and EF corresponds to CB. What is CB?

A park path blocks direct measurement. EF is parallel to CB, so triangle AEF is similar to triangle ACB. The figure draws the two triangles side by side. AE corresponds to AC, and EF corresponds to CB. What is CB?

For an inaccessible lot width, EF is parallel to CB, so triangle AEF is similar to triangle ACB. The figure draws the two triangles side by side. AE corresponds to AC, and EF corresponds to CB. Find CB.

To measure across a pond, EF is parallel to CB, so triangle AEF is similar to triangle ACB. The figure draws the two triangles side by side. AE corresponds to AC, and EF corresponds to CB. What is CB?

A surveyor sets EF parallel to CB, so triangle AEF is similar to triangle ACB. The figure draws the two triangles side by side. AE corresponds to AC, and EF corresponds to CB. What inaccessible distance is CB?

A student sights across a stream. EF is parallel to CB, so triangle AEF is similar to triangle ACB. The figure draws the two triangles side by side. AE corresponds to AC, and EF corresponds to CB. What is CB?

For a ravine width, EF is parallel to CB, so triangle AEF is similar to triangle ACB. The figure draws the two triangles side by side. AE corresponds to AC, and EF corresponds to CB. What is CB?

Crack the passcode before the zombies get in.
Answer, then swat bugs for bonus points.
Race through questions at your own speed.
Same question on every screen. Fastest wins.

Pick a tile, answer, hit bonuses and steals.
The Converse of the Pythagorean Theorem
40 questions