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Tenth Grade (Grade 10) Triangles Questions

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Grade 10 Triangles

What is the definition of complimentary angles?

Two angles that add to be $180 deg$
Two angles that have a difference of $90 deg$
Two angles add to be $90 deg$
Two angles that have a difference of $180 deg$

Grade 10 Triangles CCSS: HSG-CO.C.10

What is the missing reason in step 6?

Given:

$ang BAC ~= ang BCA$ and

$bar{BD} _|_ bar{AC}$ (point

$D$ , the intersection of the altitude from B to

$bar{AC}$ not shown)
Prove:

$bar{AB} ~= bar{BC}$

Equilateral Triangle Height v1

$\ \ \ \ \ \ \ \ \ \ \ \ " Statement " \ \ \ \ \ \ \ \ \ \ \ \$	$" Reason "$
$1. ang BAC ~= ang BCA$	$1. "Given"$
$2. bar{BD} _\|_ bar{AC}$	$2. "Given"$
$3. ang BDA, ang BDC " are right angles"$	$3. "Definition of perpendicular lines"$
$4. ang BDA = ang BDC$	$4. "All right angles are congruent"$
$5. bar{BD} ~= bar{BD}$	$5. "Reflexive Property"$
$6. Delta BDA ~= Delta BDC$	$6. ""$
$7. bar{BA} ~= bar{BC}$	$7. "Corresponding sides of congruent triangles are congruent"$

Side-Side-Side Postulate
Hypotenuse-Leg Postulate
Angle-Angle-Side Postulate
Angle-Side-Angle Postulate

Grade 10 Triangles

A triangle has sides lengths of 1 and 2. What is a possible length for the third side of this triangle?

Grade 10 Triangles CCSS: HSG-GPE.B.4

Classify the triangle with points: M(-3, -4); N(2, 5); L(2, -4).

Right
Obtuse
Acute

Grade 10 Triangles

Is it possible for a triangle to have sides with the lengths 4 m, 7 m, and 9 m?

Grade 10 Triangles

In the triangle, angle A = 95 degrees, and angle B = 25 degrees. It is possible for side AB to be the longest side of the triangle.

True
False

Grade 10 Triangles CCSS: HSG-CO.B.8

SSS can prove that two triangles are congruent.

True
False

Grade 10 Triangles CCSS: HSG-CO.B.8

SAS can prove that two triangles are congruent.

True
False

Grade 10 Triangles

This triangle is a(n) triangle.
Side 1: 6
Side 2: 11
Side 3: 14

Right
Acute
Obtuse

Grade 10 Triangles

Which of the following two triangles may not be congruent?

Both having three same lengths
Two angles and a corresponding side are equal
Two angles and the included side of both triangles are equal
If two sides and the angle attached to one length are equal

Grade 10 Triangles CCSS: HSG-CO.C.10

This question is a part of a group with common instructions. View group »

What is the missing statement in step 7?

$triangle ABD ~= triangle BDC$
$triangle ABD ~= triangle DBC$
$triangle ABD ~= triangle CDB$
$triangle ABD ~= triangle CBD$

Grade 10 Triangles CCSS: HSG-CO.B.7

If triangle ABC is congruent to triangle EDF, there must always exist some rigid transformations - reflections, rotations, and/or translations - that can map triangle ABC onto triangle EDF.

True
False

Grade 10 Triangles

If in the triangle, the ratio of sides AB:BC:AC is 6:3:5, it is possible for angle C to be the largest angle of the triangle.

True
False

Grade 10 Triangles CCSS: HSG-CO.B.8

AAA can prove that two triangles are congruent.

True
False

Grade 10 Triangles CCSS: HSG-CO.B.8

SSA can prove that two triangles are congruent.

True
False

Grade 10 Triangles

In triangle ABC shown, side AB = 41 cm, side AC = 40 cm and side BC = 9 cm. Angle C is the largest angle in the triangle and angle A is the smallest angle in the triangle.

Grade 10 Triangles CCSS: HSG-CO.B.7

You are given two triangles, ABC and FGH. There is a sequence of translations and reflections that map triangle ABC to triangle FGH, such that

$bar{AB}$ maps to

$bar{GH}$ and

$bar{AC}$ maps to

$bar{GF}$ . Which of the following statements is correct?

There is not enough information to say if the triangles are congruent.
$Delta ABC ~= Delta HGF$
$Delta ABC ~= FHG$
$Delta ABC ~= Delta GHF$

Grade 10 Triangles

Is it possible for a triangle to have sides with the lengths 2 inches, 3 inches, and 6 inches?

Grade 10 Triangles

In triangle ABC, side a is 13.2, side b is 12.8 and side c is 14.3. Which angle will be the largest?

Angle A
Angle B
Angle C
Answer cannot be determined

Grade 10 Triangles CCSS: HSG-CO.C.10

This question is a part of a group with common instructions. View group »

What is the missing reason in step 8?

Corresponding angles of congruent triangles are congruent
Corresponding angles of similar triangles are congruent
AAA
Definition of congruent angles

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Tenth Grade (Grade 10) Triangles Questions